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CLASS 12
Contents ªª 4th IMO 2010 ªª 5th IMO 2011 ªª 6th IMO 2012 - SET A ªª 6th IMO 2012 - SET B ªª 7th IMO 2013 - SET A ªª 7th IMO 2013 - SET B ªª 8th IMO 2014 - SET A ªª 8th IMO 2014 - SET B
MTG Work-Books / olympiad books CLASS 1
International Mathematics Olympiad
National Science Olympiad
International English Olympiad
MTG CSS Series
CLASS 2
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
MTG CSS Series
International English Olympiad
MTG CSS Series
CLASS 3
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
MTG Work-Books / olympiad books CLASS 4
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
MTG CSS Series
International English Olympiad
MTG CSS Series
International English Olympiad
MTG CSS Series
CLASS 5
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
CLASS 6
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
MTG Work-Books / olympiad books CLASS 7
National Science Olympiad
International Mathematics Olympiad
National Cyber Olympiad
Science IQ Challenge
Math IQ Challenge
International English Olympiad
MTG CSS Series
Master Mental Ability in 30 Days
CLASS 8
International Mathematics Olympiad
National Science Olympiad
National Cyber Olympiad
International English Olympiad
MTG CSS Series
Math IQ Challenge
Science IQ Challenge
Psychology of Success
The Secrets of SUCCESS
Master Mental Ability in 30 Days
MTG Work-Books / olympiad books CLASS 9
International Mathematics Olympiad
Math IQ Challenge
National Science Olympiad
Science IQ Challenge
National Cyber Olympiad
Psychology of Success
The Secrets of SUCCESS
International English Olympiad
Master Mental Ability in 30 Days
CLASS 10
International Mathematics Olympiad
Math IQ Challenge
National Science Olympiad
Science IQ Challenge
National Cyber Olympiad
Psychology of Success
The Secrets of SUCCESS
International English Olympiad
Master Mental Ability in 30 Days
MTG Work-Books / olympiad books CLASS 11
International Mathematics Olympiad
Math IQ Challenge
Science IQ Challenge
National Science Olympiad
Psychology of Success
National Cyber Olympiad
The Secrets of SUCCESS
Master Mental Ability in 30 Days
CLASS 12
International Mathematics Olympiad
Math IQ Challenge
Science IQ Challenge
National Science Olympiad
Psychology of Success
National Cyber Olympiad
The Secrets of SUCCESS
Master Mental Ability in 30 Days
Class
1 to 10
JEE (Main & Advanced) | AIPMT | BOARDS | OLYMPIAD | NTSE
FOUNDATION COURSE For Classes 7, 8, 9 & 10 Class 7
Class 8
Class 9
Class 10
Class 5 4th
Year 2010
Copyright©2015. Science Olympiad Foundation (SOF)
4th IMO - 2010
Section I : Logical Reasoning 1. Which digit will appear on the face opposite
to the face with number 4?
(A) 3 (C) 6
2 1
(B) 5 (D) 1
6 3
3
5
2. What would be the cost of 2 litres of ice cream and 2 boxes of ice cream cones?
(A) ` 600
(B) ` 580
(C) ` 650
(D) ` 680
3. Look at the given series: 21, 9, 21, 11, 21, 13, 21, .... What number should come
next? (A) 14
(B) 15
(C) 21
(D) 23
4. Blueberries cost more than strawberries.
Blueberries cost less than raspberries.
Raspberries cost more than both strawberries and blueberries.
If the first two statements are true, the third statement is _______ (A) True (B) False (C) Uncertain (D) None of these 5. Geeta put a CD in the CD player and pressed play. When she put
Golden
the CD in, it looked like the picture shown aside. After the song ended, Geeta opened the CD player and the CD looked like it
Oldies
had rotated (turned) 180°. Which figure given below shows the CD after it rotated (turned) 180°? Oldies
Golden
6. A photographer came to take the pictures of a student. There was a choice of five different picture packages. The given chart shows how the number of wallet-sized pictures increases from package to package. If the increase is
(D)
PICTURE PACKAGES Package A Package B
8 wallet-sized pictures
Package C
16 wallet-sized pictures ?
Package D
32 wallet-sized pictures
Package E
40 wallet-sized pictures
the same from one package to the next,
how many wallet-sized pictures should be in package C? (A) 18 (B) 20 (C) 22
4th IMO | Level-I | Class - 5
Golden
(C)
Oldies
Oldies
Golden
(B)
Oldies
(A)
Golden
Copyright©2015. Science Olympiad Foundation (SOF)
(D) 24
4th IMO - 2010
7. Count the number of triangles in the given figure.
(A) 10
(B) 13
(C) 12
(D) None of these
8. Three different positions of a triangle are given. Which of the following options describe its positions?
(A) Rotation, then reflection
(B) Reflection, then translation
(C) Reflection, then rotation
(D) None of these
9. IX + XV + XX = ____. (A) 45 (B) 35
(D) 76
(C) 44
10. In the given diagram the boys who are athletic and disciplined are indicated by which number?
(A) 1
(B) 2
(C) 10
(D) 6
11. Arrange the words given below in a meaningful sequence. 3. Room 4. Town 1. House 2. Street (A) 3, 2, 1, 4, 5 (B) 3, 1, 4, 2, 5 (C) 3, 1, 2, 4, 5
5. District (D) 3, 1, 2, 5, 4
12. Six friends (A, B, C, D, E and F) are sitting in a circle and are facing the centre of the circle. A is between B and C. D is between E and F. B and E are opposite
to each other. Who is sitting opposite to C? (A) E (B) A (C) D 5
13. Which number completes the puzzle?
(A) 23
(B) 19
(D) F 11
7
(C) 21
13
17
?
(D) 20
14. Which one will replace the question mark? 12
18
6
(A) 18
30
16
24
40
18
?
8
(B) 12
27 45
(C) 9
Copyright©2015. Science Olympiad Foundation (SOF)
(D) 6 4th IMO | Level-I | Class - 5
4th IMO - 2010
15. What kind of triangles will be obtained if X draws a line segment connecting points A and C on the rectangle shown aside?
(B) Right angled (D) Obtuse
(A) Isosceles (C) Equilateral
B
A
D
C
16. Krishna will pick one tile from a box without looking. From which of the following boxes is she certain to pick a tile with a “J” on it?
(A)
J
B
J
B
J
B
(B)
J
J
J
J
J
J
(C)
B
B
B
B B
17. The given table shows that for science class, Mr. Satish is ordering kits that contain caterpillars. Based on the data in the table, what will be the total number of caterpillars in 8 kits? (A) 48 (B) 38
(D)
J
J
J
J B
Caterpillar kits Number of kits
3
4
5
6
Total number of caterpillars
18
24
30
36
(C) 40
(D) 42
18. The water in Megha's watering bucket is frozen. Which would most likely be the temperature of the water? (D) 25°C (A) 0° (B) 100°C (C) 50°C 19. Look at this pattern. Which of the following flowers will complete the given pattern?
(A)
(B)
(C)
(D)
20. Shreya has a piece of ribbon which is 3 times as long as Sara's ribbon. If Sara's
ribbon is 4.8 m long, how much longer is Shreya's ribbon ? (A) 1.6 m (B) 9.6 m (C) 7.8 m
(D) 14.4 m
Section II : Mathematical reasoning 21. Which geometric figure has six square faces? (A) Cube (B) Cone (C) Cylinder
(D) Sphere
22. Which figure has no line of symmetry?
(A)
4th IMO | Level-I | Class - 5
(B)
(C)
Copyright©2015. Science Olympiad Foundation (SOF)
(D)
4th IMO - 2010
23. Charu cut each piece of paper shown below on the dotted line. Which of the
following are the shapes of the four pieces? (A) Triangles and rectangles (B) Squares and triangles (C) Squares and hexagons (D) Rectangles and circles
Paper-2
Paper-1
24. Point P is the centre of the circular target shown in the
Q
P
picture. Which appears to be the chord of the circle?
(A) PQ
(B) SQ
(C) PR
(D) None of these
R S
25. Look at the given problem. Jasmine gave Kanishka 3 sets of stamps. Each set has 6 stamps. What is the total number of stamps Jasmine gave Kanishka?
Which of the following pairs given in the options can be used to solve this problem?
(A)
3+6=
6+6+6=
3×6=
3+6=
(B)
6×6×6=
(C)
3+6=
26. Reshma put an “S” on the calendar to show the date of her first soccer game in August. Reshma's second soccer game is exactly three weeks later. What is the date of her second soccer game? (A) August 7
3×6=
(D)
6+6+6=
August
Sun. Mon. Tues. Wed. Thurs. Fri. Sat. 1 2 3 4 S 5 6 7 8 9 10 11 12
13
14
15
16
17
18 25
(B) August 18
19
20
21
22
23
24
(C) August 24
26
27
28
29
30
31
(D) August 25
27. 2 hrs after 10:30 am is ____.
(A) 12.30 pm
(B) 12.30 am
(C) 1.00 am
(D) None of these
1 ? 1 1 (B) + 2 5 1 1 1 1 1 (D) + + + + 2 2 2 2 2
28. Which of the following has the same value as 5 ×
1 + 5 2 1 1 1 1 1 (C) × × × × 2 2 2 2 2 (A)
29. If the number sentence given below is true, which of the following is also true? 5,760 24 =
(A) 24 ×
= 5,760 (B) 5,760 – 24 =
(C)
× 5,760 = 24 (D) 5,760 + 24 =
Copyright©2015. Science Olympiad Foundation (SOF)
4th IMO | Level-I | Class - 5
4th IMO - 2010
30. What should be the number in the START box ? START
(A) 2025
× 18
32
(B) 640
360
(C) 1120
(D) 207360
31. Look at the number line. 0 lying? 3 (B) Between
Between which shapes is
(A) Between
and
(C) Between
and
1 4
1 2
and
(D) Between
3 4
1
11 4
and
32. Ms. Pallavi recorded the time, in which her 12 students complete a set of math problems. Time in seconds : 39 48 59 43 38 37 49 50 58 47 58 46 Then she presented the record as shown below. Number of students
Time in seconds 30-39 40-49 50-59
?
How many tally marks should Ms. Pallavi write in the row for 50-59 seconds? (A) (B) (C) (D)
33. Akriti saw many different shapes of windows on cars and trucks in a parking lot. Four of the windows she saw are drawn below.
Window 1
Window 3
Window 2
Window 4
Which window appears to have only 1 line of symmetry? (A) Window 1 (B) Window 2 (C) Window 3
(D) Window 4
34. What is 6050.287 rounded to the nearest tenth ? (A) 6050 (B) 6100 (C) 6050.29
(D) 6050.3
35. What number am I ? • I am a two-digit even number. • I am a common multiple of 6 and 7. • I have a total of 8 factors. (A) 35 (B) 42
(D) 84
(C) 36
36. When it is 10:30, what kind of angle is formed by the hands of the clock?
(A) Acute
(B) Obtuse
(C) Right
(D) Straight
4th IMO | Level-I | Class - 5
Copyright©2015. Science Olympiad Foundation (SOF)
12 1 11 2 10 9 3 4 8 7 6 5
4th IMO - 2010
37. Which point on the number line best represents 1.35?
(A)
(C)
–4
–3 –2
–1
0
1
2
3
4
–4
–3 –2
–1
0
1
2
3
4
(B) (D)
–4
–3 –2
–1
0
1
2
3
4
–4
–3 –2
–1
0
1
2
3
4
38. What is the missing value in the given pattern ?
(A) 2
0.25 × 12 = 0.25 × 3 + 0.25 × 3 + 0.25 × ____. (B) 3 (C) 6 (D) 8
39. Girish is making a math puzzle. He writes that 'w' is an even number which has 12 as a factor. Which of the following could represent the variable 'w'?
(A) 2156
(B) 1728
(C) 1429
(D) 1256
40. A shopkeeper mixed 3.6 kg of hazelnuts with 0.75 kg of raisins. He packed the mixture equally into 5 boxes. What is the weight of each box ?
(A) 14.25 kg
(B) 4.35 kg
(C) 0.87 kg
(D) 0.72 kg
Section III : Everyday Mathematics 41. Every week Suhana saves ` 10 on Monday and ` 15 on Friday. If this is her total weekly savings, how many weeks would she take to save enough to buy a ` 175 wireless phone?
(A) 52 weeks
(B) 46 weeks
(C) 7 weeks
(D) 14 weeks
42. There are 9 rows of seats in a theatre. Each row has the same number of seats. If there is a total of 162 seats, how many seats are in each row?
(A) 17
(B) 18
(C) 19
(D) 20
43. Arjun's snack shop sells small, medium and large sodas. Yesterday, they sold 3 large sodas and 8 more medium sodas than large sodas. Arjun's snack shop also sold 8 small sodas yesterday. How many total sodas did Arjun's snack shop sell yesterday?
(A) 31
(B) 13
(C) 22
(D) 33
44. Abhilasha made cake for a party. She put the cake into the oven at twenty-five past four and took it out thirty minutes later. What time was it when Abhilasha
took out the cake? (A) Five past eight (B) Five o’clock
(C) Five to five
(D) Five past four
45. The temperature of water in a swimming pool is 51°F. Since the freezing point of water is 32°F, how many degrees would the temperature of the water have to drop
to reach the freezing point ? (A) 9°F (B) 21°F
(C) 2°F
Copyright©2015. Science Olympiad Foundation (SOF)
(D) 19°F 4th IMO | Level-I | Class - 5
4th IMO - 2010
46. There are 26 birdhouses made at a factory each hour. What is the total number of
birdhouses made at the factory in 8 hours? (A) 34 (B) 64 (C) 202
(D) 208
5 1 glass of lemonade. Roshni drank glass of lemonade. If the 8 4 glasses held the same amount of lemonade, how much more lemonade did Rehana
47. Rehana drank
drink than Roshni? 3 1 (A) (B) 8 8
(C)
3 4
(D)
1 2
5 48. A beaker is 7 filled with water. Another 10 litres of water is needed to fill the beaker to its brim. What is the capacity of the beaker ?
(A) 50 litres
(C) 70 litres
(B) 20 litres
(D) 35 litres
49. The sound of an aeroplane taking off is about 2.2 times louder than a person shouting. Which is the best estimate of the decibel level of an aeroplane taking
off if the decibel level of a person shouting is 65.4? (A) 340 (B) 140 (C) 200
(D) 100
50. A car can travel 315 km on 30 litres of petrol. How far can the car travel if it has
50 litres of petrol in its petrol tank? (A) 10.5 km (B) 189 km
(C) 525 km
Space for Rough Work
4th IMO | Level-I | Class - 5
Copyright©2015. Science Olympiad Foundation (SOF)
(D) 840 km
Class 5 5th
Year 2011
Copyright©2015. Science Olympiad Foundation (SOF)
2
5th IMO - 2011
Section I : Logical Reasoning 1. Ginni used pebbles to make a design
Row 1
in the sand. Based on this pattern, how
Row 2
many pebbles are there in row 6?
(A) 16 pebbles
Row 3
(B) 17 pebbles
Row 4
(C) 20 pebbles
(D) 21 pebbles
Row 5
2. The figure is made up of identical triangles. What fraction
of the figure is unshaded ? (A) 4/7 (C) 8/19
(B) 3/7 (D) 3/8
3. About how many more bricks does Molly need in her pile to make it equal to 50 kilograms?
(A) 7
(B) 8
(C) 45
(D) 46
4. This number machine used the same rule each time to find the output numbers shown here. If n is the input number, which rule could the machine have used to find each output number ?
(A) n ÷ 4
(B) n – 4
(C) n × 4
(D) n + 4
5. Which of the following sentence must be true if the adjoining scale is balanced ?
(A)
=
+
(B)
=
–
(C)
=
×
(D)
=
÷
6. Observe the given pattern.
If the pattern continues, which could be the next two figures?
(A)
(B)
(C)
Copyright©2015. Science Olympiad Foundation (SOF)
(D)
3
5th IMO - 2011 7. The fact family shown below is missing a fact. 3 × 8 = 24; 8 × 3 = 24; 24 ÷ 8 = 3; ___ ?__ Which is the missing fact? (A) 24 ÷ 3 = 8 (B) 24 ÷ 4 = 6 (C) 24 + 3 = 27 (D) 24 – 4 = 20
8. Peter went to watch a movie at a cinema. The movie started at 11:45 a.m. and lasted 1 h 45 min. Choose the clock face that correctly shows the time at which the movie ended.
(A)
(B)
(C)
(D)
9. There are 10 children sitting in a row. Ali is the second child from the left while Devi is the second child from the right. How many children are sitting in between
Ali and Devi? (A) 4
(B) 6
(C) 7
(D) 8
10. Kirti had a square page of stamps. She used some of the stamps from the centre of the page. The picture shows the stamps Kirti has left. How much area of the
page of stamps did Kirti use? (A) 6 square units (B) 9 square units (C) 12 square units (D) 16 square units
11. In the adjoining figure how many different paths can be travelled from point A to point D by visiting a point only once?
(A) 2
(B) 3
(C) 4
(D) 5
12. Johny used the rule "double the number" to create the pattern given below.
3, 6, 12, 24, ____
Which pair of numbers is part of the pattern?
(A) 36, 72
(B) 48, 72
(C) 96, 144
13. The given table shows the possible food
choices for lunch. How many different
lunches can be made that include 1 type
(D) 96, 192
Lunch Choices Soup Sandwich Salad Chicken Ham Vegetable Tomato Turkey Fruit
of soup, 1 type of sandwich and 1 type of salad?
(A) 2
(B) 3
(C) 6
Copyright©2015. Science Olympiad Foundation (SOF)
(D) 8
4
5th IMO - 2011
14. Look at the puzzle. Which piece completes the puzzle?
(A)
(B)
(C)
(D)
15. Letters of a word have been jumbled up. You have to construct the word. Each letter has been numbered and is followed by four options. Choose the option which gives
the correct order of the letters as indicated by the numbers to form a word. N I W E T R 1 2 3 4 5 6 (A) 4, 5, 1, 3, 2, 6 (B) 1, 4, 5, 6, 3, 2 (C) 3, 2, 1, 5, 4, 6 (D) 1, 2, 3, 4, 5, 6
16. Which of the figures below has the line of symmetry drawn correctly ?.
(A)
(B)
17. Find the odd one out. (A) 15 (B) 21
(C)
(C) 27
(D)
(D) 31
18. Rohit is incharge of feeding breakfast to the animals on his farm. He feeds them 4 oats every morning. If Rohit has 16 oats left after feeding them on Sunday, what is the last day he will most likely have oats for the animals? (A) Wednesday (B) Thursday (C) Friday (D) Saturday 19. Jackie's mom baked cookies. Jackie wants to share the cookies equally with five friends. What information is needed to determine how many cookies each person
could get? (A) The kind of cookies. (C) The number of cookies baked.
(B) The size of the cookies. (D) The time it took to bake the cookies.
20. Riya asked the students in her class if they have any pets. Her results are shown below.
• 4 students have cats. • 8 students have fish. • 5 students have parrots. • 12 students have dogs. • No student has a frog.
Based on the above information, which statement is most likely true? (A) Cats are better pets than Fish. (B) Fish are better pets than Dogs. (C) Frogs are the most popular pet. (D) Frogs are the least popular pet.
Section II : Mathematical reasoning 21. What is the numeric form of the number given below ? ‘‘One hundred four thousand, one hundred three’’ (A) 1,413 (B) 14,103 (C) 104,103 (D) 104,113 Copyright©2015. Science Olympiad Foundation (SOF)
5
5th IMO - 2011 22. Which figure has only one base and one vertex?
(A)
(B)
(C)
(D)
23. Jay arranged 48 books in 4 equal piles to find the quotient of 48 ÷ 4. How can
Jay use this method to find the quotient of 189 ÷ 9? (A) Put 189 books in 4 equal piles. (B) Put 189 books in 9 equal piles. (C) Add 189 to 48 books. Put them in 4 piles. (D) Add 189 to 48 books. Put them in 9 piles.
24. Look at the calendar. What best describes the dates that are on Saturdays?
(A) Multiples of 2
(B) Multiples of 3
(C) Multiples of 4
(D) Multiples of 7
S 1 8 15 22 29
M 2 9 16 23 30
T 3 10 17 24 31
W 4 11 18 25
T 5 12 19 26
F 6 13 20 27
S 7 14 21 28
25. Sara used cutouts of two triangles to make the figures shown below.
Which of the following (A) Both figures have the (B) Both figures have the (C) Both figures have the (D) Both figures have the
statements is true about the figures? same area. same perimeter. same number of sides. same number of vertices.
26. Look at the diagram of Shreya's yard. Which expression can Shreya use to find the perimeter of her yard?
(A) (4 × 4) + (2 × 8)
(B) (4 × 8) + (2 × 8)
(C) (4 + 4) + (2 + 8)
(D) (4 × 8) + (2 × 4)
4m
27. Sandy solved the adjoining problem in her math class.
What is another way that (A) Sandy can determine 78 (B) Sandy can determine 70 (C) Sandy can determine 78 (D) Sandy can determine 70
8m
4m
Sandy could solve the problem? × 10, then add that to 78 × 5. × 10, then add that to 8 × 5. × 10, then add that to 5 × 10. × 10, then add that to 15 × 10.
8m
78 ×15 390 +780 1170
28. Look at the given figure. Which fraction represents the
shaded part of the figure? (A) 3/8 (C) 5/8
(B) 3/5 (D) 5/3
29. What is the solution to the given expression ? 3 × 10 + (9 × 2) = (A) 48 (B) 78 (C) 84 Copyright©2015. Science Olympiad Foundation (SOF)
(D) 114
4m 4m
6
5th IMO - 2011
30. What is the area of the shaded figure?
(A) 20 square units
(B) 22 square units
(C) 26 square units
(D) 28 square units
31. Which list shows all the prime numbers between 0 and 22? (A) 1,3,5,7,11,13,19 (B) 2,3,5,7,11,13,17,19 (C) 2,4,6,8,10,12,14,16,18,20,21 (D) 1,2,4,6,8,9,10,12,14,15,16,18,20,21 32. Which figure appears to have exactly two perpendicular sides?
(A)
(B)
(C)
(D)
33. Multiply the smallest 3-digit number formed using the digits 4, 2 and 5 by 8. (A) 4336 (B) 3400 (C) 2032 (D) 1960 34. The widths of two skateboards are shown in the table. Which number sentence correctly compares the widths of these two skateboards?
1 (A) 8.125 < 8 8
(B) 8.125 = 8 1 8
(C) 8.125 > 8 1 8
(D) None of these
Skateboard Widths Skateboard Width in Inches X 8.125 Y 1 8 8
35. Which item is the heaviest?
(A)
1 kg 100 g
(B)
1090 g
(C)
(D)
1400 g
1390 g
36. Which of the following figures can be made by folding the adjoining
three-dimensional net along the dashed line segments?
(A)
37. Subtract : 2.38 − 1
(A) 0.48
(B)
9 = 100 (B) 1.29
(C)
(C) 3.47
38. Danish drew an angle as shown here. Sarah drew an angle that was twice the measure of Danish's angle. What was
the measure of Sarah's angle? (A) 20° (C) 80°
(B) 70° (D) 60°
Copyright©2015. Science Olympiad Foundation (SOF)
(D)
(D) 0.29
7
5th IMO - 2011 39. What is the missing fraction? 3 4
(A) 3/8
(B) 5/8
=
3 8 (C) 6/8
(D) 7/8
40. Each adjoining model is shaded to represent a decimal number. Which number sentence correctly compares
these decimal numbers? (A) 0.49 < 0.6 (B) 0.49 = 0.6 (C) 0.49 > 0.6 (D) None of these
Section III : Everyday Mathematics 41. Garima measures a bean plant at the end of every week. At the end of week 1, the plant is 4 inches tall. It grows 1/2 inch each week for 5 more weeks. How tall is Garima’s bean plant at the end of week 5?
(A) 5 inches
(B) 5 1 inches 2
(C) 6 inches
(D) 6
1 inches 2
42. Jay is 86 cm tall. His father is twice as tall as Jay. How tall is Jay’s mother if she
is 18 cm shorter than his father? (A) 1 m 54 cm (B) 1 m 66 cm
(C) 1 m 72 cm
(D) 1 m 90 cm
43. The information about Richa's favourite book is listed below: • There are 364 pages. • There are 14 chapters. • Each chapter has the same number of pages. How many pages are there in each chapter of this book? (A) 26 (B) 27 (C) 28 (D) 29 44. Farah and her friends are baking cookies for a school function. The recipe they are using states that they need 3/4 cups of sugar for every 3 dozen cookies they
make. If they make 7 dozen cookies, about how much sugar will they need? (A) Approximately 1 cup (B) Approximately 2 cups (C) Approximately 4 cups (D) Approximately 7 cups
45. Anuj made a chart showing how much time he spends on homework in one week. Based on the information in the chart, which statement is true? (A) Anuj has no homework on Monday. (B) Anuj spends the most time on homework on Friday. (C) Anuj spends the least amount of time on homework on Wednesday. (D) Anuj spends more time on homework on Tuesday than
Time Spent on Homework Day Minutes Monday 20 Tuesday 45 Wednesday 45 Thursday 30 Friday 30 on Thursday.
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8
5th IMO - 2011
46. Nidhi is going to make bracelets to sell for a function. She bought 8 metres of yarn. She wants to cut it into pieces that are 16 centimetres long for each bracelet.
How many bracelets can Nidhi make? (A) 2 (B) 6
(C) 50
(D) 128
47. Ritesh helps his teacher to pass out books 4 times in a day. How many times does
Ritesh help his teacher in 5 days? (A) 5 (B) 9
(C) 20
(D) 25
48. John has 45 stickers. Mary has 20 more stickers than John. How many stickers
must Mary give to John so that both of them have an equal number of stickers? (A) 5 (B) 10 (C) 25 (D) 55
49. There are 18 pupils in a group. There are 10 boys and the rest are girls. 7 pupils are wearing glasses. If 3 girls are wearing glasses, how many boys are not wearing
glasses? (A) 3
(B) 6
(C) 8
(D) 9
50. There were 1582 chicken eggs and 475 duck eggs in a basket. 128 chicken eggs
and duck eggs were broken. How many eggs were not broken? (A) 981 (B) 1929 (C) 2021 (D) None of these SPACE FOR ROUGH WORK
Copyright©2015. Science Olympiad Foundation (SOF)
Class 5 6th
SET A Year 2012
Copyright©2015. Science Olympiad Foundation (SOF)
2
6th IMO - SET A Section I : Logical Reasoning
1. Complete the given number pattern.
(A) 35870
(B) 53870
(C) 53470
(D) 53570
2. The given diagram shows the original position of a wheel. Which of the following diagrams shows the correct position of the wheel after it has been turned 3
(A)
3.
Which of the following words CANNOT be formed from the given word?
(B)
1 turns to the left ? 8
MATHEMATICS (C) MENTAL
(D)
(A) TIME
4.
Which of the following fractions represents shaded part of the figure?
(A)
5.
Housing Board built 100 flats. A painter is engaged to serially number each flat individually from
1 to 100. How many times will he be required to write zero? (A) 10 (B) 8 (C) 9
6.
Study the table below. In which column will the number 55 appear ?
(A) W
4 12
(B) MAT
(C)
(B)
5 12
(B) X
(C)
7 12
(C) Y
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(D) TAME
(D)
6 12
(D) 11
(D) Z
3
6th IMO - SET A 7.
How many connecting bars will there be in pattern 123 ?
(A) 615
8.
Preeti was facing the park at the beginning. She turned anti-clockwise to
face north-west. What angle did she turn through ? (A) 180° (B) 135° (C) 225° (D) 230°
(B) 1235
(C) 245
(D) 1225
9. The missing number in the box is ______.
(A) 687629
737629, 717629, (B) 607629
? , 677629, 657629 (C) 707629
(D) 697629
10. How many of the following letters have only 2 lines of symmetry?
(A) 0
(B) 1
(C) 2
(D) 3
11. In a queue of 40 students, Ankita is 20th from last. What is her rank from first ? (A) 21 (B) 20 (C) 19 (D) 22 12. Net _____ cannot be folded to make an open cubical box.
(A) P only
(B) Q only
(C) R only
(D) S only
13. What is missing number in the box ?
(A) 4
(B) 40
8147 = 8000 + 100 + + 7 (C) 400
(D) 4000
14. Garima is facing the Community centre. What will she be facing if she turns 270° clockwise ?
(A) Mall
(B) School
(C) Temple
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(D) Park
4
6th IMO - SET A
15. Which of the following figures will complete the given figure ?
(A)
(B)
16.
Count the number of triangles in the given figure. (A) 8 (B) 10 (C) 14 (D) None of these
(C)
(D)
17. Study the diagram. If a person starts walking from point P and wants to reach
point Q, in how many directions will that person have to walk? (A) 10 (B) 8 (C) 20 (D) 7
18. There is a certain relationship between figures 1 and 2. Identify the relationship and establish the similar relationship between figures 3 & 4 by selecting a figure from the options.
? 1
(A)
(B)
2
3
4
(C)
(D)
19. Read the following information carefully.
(i) P and Q play Football and Hockey.
(ii) R and S play Badminton and Cricket.
(iii) Q and R play Cricket and Football.
(iv) P and S play Hockey and Badminton.
One who plays Badminton, Football and Hockey is ______. (A) P (B) Q (C) R
(D) S
20. The given net represents which of the following shape ?
(A)
(B)
(C)
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(D)
5
6th IMO - SET A Section II : Mathematical reasoning
21. The length of a rectangular painting is 15 cm and its breadth is 10 cm. There is a border around the painting. Find the area of the border.
(A) 336 sq. cm
(B) 150 sq. cm
22. Find the value of 624.7 + 39.29. (A) 101.76 (B) 663.99
(C) 114 sq. cm
(D) 186 sq. cm
(C) 66.399
(D) 660.79
23. Select the correct Roman numerals in Column I with Hindu-Arabic numerals in Column II. (A) (B) (C) (D)
Column I Column II CCXVIII 318 DCCLXIX 769 MMMCCXCIX 3399 VDCCXLVII 5748
24. The piece of wood shown is cut into 4 equal pieces. Length of each of the piece of wood is ____.
(A) 2.25 m
(B) 2.5 m
(C) 2.4 m
(D) 3.5 m
25. The difference between the value of P and Q is ________.
(A) 4
(B) 1
(C) 3
(D) 2
26. Which of the following figures has the largest perimeter?
(A) Q
(B) P
(C) R
(D) S
27. If x is 6th multiple of 3 and y is 4th multiple of 3, then the LCM of x and y is ______.
(A) 36
(B) 72
(C) 48
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(D) 54
6
6th IMO - SET A
28. What is the value of 600 + 1200 ÷ 6 × 2 + 400 × 2 ?
(A) 1400
(B) 1500
(C) 1800
(D) 2000
29. Which of the following step is wrong for the given below mathematical sentence?
37091 – 72 ÷ 3 × 687 + 5973
Step I : 37091 – 24 × 687 + 5973 (Divide)
Step II : 37091 – 16388 + 5973 (Multiply)
Step III : 43064 – 16488 (Add)
Step IV : 26386
(B) Step III and IV
(A) Step I only
(C) Step II only
30. Which of the following figures do not have more than
(A)
(B)
(D) Step II and IV
1 of its area shaded ? 3
(C)
(D)
31. Which number should come in place of * to make the number divisible by 3 ?
(A) 5
(B) 0
1526 * 85 (C) 2
(D) 1
32. Find the value of P?
(A) 3
(B) 7
(C) – 4
(D) 9
33. What is the greatest number of toys that can be bought with ` 100 ?
(A) 12
(B) 11
(C) 13
(D) None of these
(C) P
(D) S
34. Which shape has the largest area ?
(A) Q
(B) R
Copyright©2015. Science Olympiad Foundation (SOF)
7
6th IMO - SET A 35. Find the greatest number which divides 36 and 84 leaving no remainder in each case. (A) 6 (B) 9 (C) 12 (D) 18 36.
Which (A) 1, (B) 2, (C) 3, (D) 2,
37. If
list shows all the prime numbers between 1 to 50 ? 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 3, 5, 7, 11,13, 17, 19, 23, 29, 31, 37, 41, 43, 47 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 5, 7, 11, 21, 17, 19, 23, 29, 37, 43, 47 +
+
(A) 15
+
= 60 and 2 (B) 25
= 30, then find the value of
+
.
(C) 12
(D) 20
(C) 100 crore
(D) 10 lakh
(C) 2.3749 > 2.4749
(D) None of these
38. Hundred million = _______.
(A) 10 crore
(B) 1 crore
39. Which of the following expressions is true ?
(A) 2.3749 > 2.0349
(B) 2.03749 < 2.003749
40. Which of the following is equal to
(A)
2 ÷ 1 3
(B) 1÷
1 ? 3
4 6
(C)
1 ×4 12
(D)
2 2 ÷ 6 6
Section III : Everyday Mathematics 41. In a box there are 199653 red marbles, 87653 blue marbles and 76998 green marbles. Find the total number of marbles.
(A) 364304
(B) 364403
42. Priya had 3200 mL of olive oil. She used
How much oil was left ? (A) 1280 mL (B) 1920 mL
(C) 344304 2 1 of it in the first week and 5 8 (C) 1520 mL
43. Which of the following is the best estimate for 3095 × 84 ? (A) 3100 × 90 (B) 3100 × 80 (C) 3000 × 90
(D) 364344 of it in the second week. (D) 1680 mL (D) 3000 × 80
44. Three shirts and 7 pairs of pants have a total of 55 buttons. Each pair of pants has 5 fewer buttons
than each shirt. How many buttons are there on each shirt ? (A) 4 (B) 9 (C) 25
(D) 30
45. Avni participated in a race. She took 1 hour 36 minutes and 14 seconds to complete the race. How
many seconds she took in completing the race ? (A) 2220 seconds (B) 2234 seconds (C) 5760 seconds
(D) 5774 seconds
46. A fruit seller had 240 pears. 36 of them were bad. The remaining pears were sold at 3 for ` 5. How
much did he collect from the sale ? (A) ` 410 (B) ` 340
(C) ` 300
(D) ` 450
1 of his marbles to Dhruv, Dhruv 6 had twice as many marbles as Hemant. How many marbles had Dhruv at first ?
47. Dhruv and Hemant had 60 marbles altogether. After Hemant gave
(A) 30
(B) 24
(C) 36
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(D) 25
8
6th IMO - SET A
48. Reeta had just enough money to buy exactly 15 exercise books. She bought 8 exercise books which cost ` 17.5 each. How much money she had for 15 exercise books?
(A) ` 262.5
(B) ` 525.75
(C) ` 280.5
49. A car travelled 384 kms in 6 hours. How far did it travel in 4 hours ? (A) 96 kms (B) 576 kms (C) 256 kms
(D) ` 245.5 (D) 384 kms
50. Megha has holidays on every second and fourth Saturday of a month. On which dates she has holidays in January 2013?
(A) 1st and 15th
(B) 8th and 29th
(C) 1st and 22nd
SPACE FOR ROUGH WORK
Copyright©2015. Science Olympiad Foundation (SOF)
(D) 12th and 26th
Class 5 6th
SET B Year 2012
Copyright©2015. Science Olympiad Foundation (SOF)
2
6th IMO - SET B Section I : Logical Reasoning
1.
Beena received her end-of-year result slip but it was torn.
What would be her highest possible total score and lowest possible total score?
(A) 399, 327
(B) 400, 300
(C) 365, 347
(D) 399, 201
2.
How many of the following letters have a line of symmetry? (A) 1 (B) 2 (C) 3 (D) 4
3. Choose the odd one out. (A) EJOT (B) GLQV 4.
Find the mirror image of given figure (X).
(A)
(B)
(C) CHMR
(D) BDFH
(C)
(D)
5. If P, R and Q, S exchanges their positions and then P and Q moves diagonally and meet at the middle of rectangle, then the direction of R
with respect to Q is _____. (A) South-east (C) North-west
6.
Which of the following figures will complete the Fig. (X)?
(A)
(B)
(C)
(D)
7.
How many triangles are there in the given figure? (A) 10 (B) 11 (C) 12 (D) None of these
(B) South-west (D) North-east
Copyright©2015. Science Olympiad Foundation (SOF)
S
R
P
Q
3
6th IMO - SET B 8.
How many different possible combinations of one colour pencil and one rubber cap from 5 different colour pencils and 6 different rubber caps can be formed ?
(A) (B) (C) (D)
9.
Find the missing number.
(A) 100
(B) 140
(C) 136
(D) 125
22 25 36 30 3
25
4
7
113
8
6
?
8
10. On the map, each side of each grid square represents 1 kilometre. How much farther does Priya live from the library than Ritika lives from the market ? (Considering the shortest distance)
(A) Priya lives 1 km farther than Ritika.
(B) Both are at the same distance.
(C) Ritika lives 1 km farther than Priya.
(D) Can't be determined.
11. The calendar given below shows Aditya's schedule for cricket practice and cricket match.
If Aditya attended every practice in December 20XX, what is the total number of minutes he spent on practice during December 20XX ?
(A) 780 mins
(B) 720 mins
(C) 690 mins
(D) 660 mins
12. Mona is facing North-West after turning through an angle of 180° in the anti-clockwise direction.
She was facing ______. (A) East (B) North
(C) South-East
Copyright©2015. Science Olympiad Foundation (SOF)
(D) South-West
4
6th IMO - SET B
13. How many right angles are there in the figure ?
(A) 13
(B) 14
(C) 12
(D) 15
14. How many more squares needs to be removed so that 3/9 of the total squares are removed?
(A) 14
(B) 12
(C) 27
(D) 29
15.
How many triangles can be drawn using any three dots? (A) 4 (B) 6 (C) 3 (D) 7
16. In a certain code if "pen" is called "pencil", "pencil" is called "eraser" and "eraser" is called "book", then what will be used to erase something done wrong?
(A) Pen
(B) Pencil
(C) Eraser
(D) Book
17. Select a figure from the options which will continue the series established by Problem Figures.
(A)
(B)
(C)
(D)
18. Find out which of the following options contains all the components needed to form the key figure.
(A)
(B)
(C)
(D)
19. Which figure among the following figures is the odd one out ?
(A)
(B)
(C)
(D)
20. Find the word from the options which can have all the given letters as prefixes.
(A) PEL
(B) ICE
(C) EAN
(D) EIN
TR D L M N R SPL
Copyright©2015. Science Olympiad Foundation (SOF)
(.....)
5
6th IMO - SET B Section II : Mathematical reasoning 21. Select the correct match of the fraction of shaded part of figures.
(A)
(B)
(C)
(D)
22. The rectangle is made up of 12 identical squares. Which of the following 2 parts amongst 4 parts P, Q, R and S
will add up to form 7/12 of the rectangle? (A) P and R (C) P and Q
(B) Q and S (D) Q and R
23. A rectangular piece of paper was folded to form the shape shown. What was the perimeter of the piece of paper before
it was folded? (A) 14 cm (B) 12 cm (C) 28 cm (D) Data Inadequate
24. What is the least number of squares that must be added so that the line MN becomes a line of symmetry?
(A) 4
(B) 6
(C) 5
(D) 7
25. A way is given to express 660 as a product of prime numbers. Find the value of P, Q and R respectively.
(A) 11, 55, 2
(B) 55, 11, 2
(C) 2, 55, 11
(D) 55, 2, 11
26. Sahil chose a secret number. When he rounds off the number to the nearest thousand, he gets 15000. When he rounds off the number to the nearest hundred, he gets 14900. When he rounds
off to the nearest ten, he gets 14880. What is the possible number he might have chosen? (A) 14200 (B) 14498 (C) 14879 (D) 14009
27. The value of MMDCCCLXXII – MMDCCLXXIII = __ ? (A) XCIX (B) CI (C) XC 28. A _____ number can be shown as the product of ______ factors. (A) Prime, composite (B) Composite, prime (C) Composite, composite (D) None of these
Copyright©2015. Science Olympiad Foundation (SOF)
(D) IC
6
6th IMO - SET B
29. Find the value of P + Q ÷ R × S.
(A) 41
(B) 48
(C) 51
(D) 50
30. Which of the following statements is true? (i) The smallest number that can be divided by the given numbers without leaving any remainder is called the lowest common multiple. (ii) The greatest number which divides two or more numbers exactly without leaving any remainder
is called the highest common factor. (A) Only (i) (B) Only (ii)
(C) Both (i) and (ii)
(D) Neither (i) nor (ii)
31. Find the values P, Q, R and S respectively.
Figure
(A)
20 1 ,3 , 0.5, 3.7 10 10
(B) 2
5 7 , 2.5, 3 , 3.7 10 10
Fraction P
Decimal Q
R
S
(C) 2 1 , 3.7, 3 1 , 2.5 10 10
(D)
25 37 , 2.5, , 3 .7 100 100
32. A number is made up of 3 digits. The digit in the hundred's place is twice the digit in the one's place. The digit in the ten's place is 1 less than the digit in the one's place. If the digit in the ten's
place is 2, what is the number? (A) 623 (B) 432
(C) 622
(D) 224
33. Select the correct match of mixed fractions in Column I with improper fractions in Column II. Column I Column II 68 5 (A) 5 12 12 86 8 (B) 7 11 11 6 40 (C) 4 10 10 34 10 (D) 8 3 3
34. The product of two numbers is 72. If the greater number is 9, find the difference between 100 and
the smaller number. (A) 63
(B) 64
(C) 81
(D) 92
35. The length of a rectangle is twice its breadth. If the length of the rectangle is 8 cm, find its
area. (A) 24 cm2
(B) 32 cm2
(C) 48 cm2
Copyright©2015. Science Olympiad Foundation (SOF)
(D) 64 cm2
7
6th IMO - SET B 36. How much does
+
+
cost ?
(A) ` 11
(B) ` 13
(C) ` 14
(D) ` 12
37. Find the value of X in the given expression. 67.245 – ___ X__ = 31.193.
(A) 36.025
(B) 36.205
(C) 36.052
(D) 36.520
38. ABCD is a square and M, N, P and Q are the mid-points of each side of the square ABCD. The area of MNPQ is 32 cm 2. Find the length of the side of ABCD if area of ABCD is twice the area of MNPQ.
(A) 24 cm
(B) 16 cm
(C) 8 cm
(D) 32 cm
39. The timeline below is marked at equal time intervals. What is the time represented by Y?
(A) Noon
10 a.m. 11 a.m. (B) 12:30 p.m.
Y (C) 1:00 p.m.
(D) 1:30 p.m.
40. There are five angles below. How many of them are greater than 90°?
(A) 1
(B) 2
(C) 3
(D) 4
Section III : Everyday Mathematics 41. 520 g of tiny pink pebbles are mixed with 580 g of tiny purple pebbles. Misha packed the mixture of tiny pebbles into 5 packets equally. How many kilograms of the mixture are there in each packet?
(A) 220
(B) 0.220
(C) 0.022
(D) 0.02
42. Alisha had 114 more beads than Beena. After Alisha gave 96 beads to Beena, Beena had twice as many beads as Alisha. How many beads did Beena have at first?
(A) 174
(B) 120
(C) 60
43. Tarun bought an equal number of apples and oranges at the cost as
shown. If he paid a total of ` 560, how many apples did he buy? (A) 20 (B) 15
(C) 10
(D) 18
Copyright©2015. Science Olympiad Foundation (SOF)
(D) 160
8
6th IMO - SET B
44. Latika earned ` x in a month. She gave ` 15000 to her father, spent ` 1000 and saved the rest.
She saves ` 4000. What is the value of x? (A) ` 25000 (B) ` 20000
(C) ` 19000
(D) ` 18000
45. Megha paid ` 1900 for 4 dolls and 2 teddy bears. A doll costs twice as much as a teddy bear. Find the cost of a doll.
(A) ` 190
(B) ` 380
(C) ` 140
(D) ` 280
46. Mohit bought a packet of flour. He use 3/5 of it to bake a cake. If he had 500 g of flour left, what was the weight of the packet of flour that he had bought?
(A) 1 kg 500 g
(B) 1 kg 200 g
(C) 1 kg 250 g
(D) 1 kg
47. Sakshi is thrice as old as Krish when Parul is 33 years old and Krish is 13 years old. How old is Sakshi when Parul is 40 years old?
(A) 34 years
(B) 39 years
(C) 40 years
(D) 46 years
48. A movie ticket costs ` 200. For every 9 tickets bought, one ticket was given free. If a group of
friends paid ` 1800 for the tickets, how many friends were there in the group? (A) 9 (B) 10 (C) 8 (D) 11
49. Arjun and Meena had a total of 64 stamps at first. After each of them gave 1/2 of their stamps to Jyoti, Arjun had 8 stamps more than Meena. How many stamps did Arjun have at first?
(A) 40
(B) 24
(C) 64
(D) 16
50. Rohit's height is 2 m 58 cm. He is 8 cm taller than Amit. What is the total of Rohit's and Amit's height?
(A) 5 m 24 cm
(B) 4 m 60 cm
(C) 4 m 8 cm
SPACE FOR ROUGH WORK
Copyright©2015. Science Olympiad Foundation (SOF)
(D) 5 m 8 cm
Class 5 7th
SET A Year 2013
Copyright©2015. Science Olympiad Foundation (SOF)
2
7th IMO - Set A
logical reasoning 1.
Which of the following options will complete the number pattern below?
2025
2100
2525
2600
?
A. B. C. D.
2230 3025 3120 3225
2.
Mohit is facing the railway station. What will he be facing, if he turns 315º anti-clockwise?
7.
Park Garden
Hotel Mohit
Mall
Temple
1. Asia 3. America 5. Africa A. 2, 3, 4, B. 4, 5, 3, C. 4, 3, 2, D. 4, 5, 3,
2. Australia 4. Afghanistan
5, 2, 1, 1,
1 1 5 2
There is a matrix that follows a certain rule row-wise or column-wise. Find the missing number. 7
School Railway Station Hospital
A. B. C. D.
Hospital Park Temple Hotel
3.
If the following numbers are arranged in the descending order, what will be the middle digit of the number which will be exactly in the middle? 317, 493, 283, 269, 875, 423, 725
A. B. C. D.
2 3 6 7
4.
In a certain code language, 'MAN' is coded as 28 and 'GIRL' is coded as 46, then 'WOMEN' will be coded as
A. B. C. D.
5.
Which of the following CANNOT be formed from the letters of the given word?
6.
Arrange the given words as they are arranged in dictionary.
?
2
6
4
8.
Minimum number of straight lines required to make the given figure is ______.
9.
A. B. C. D.
212 241 144 289
12 14 16 17
There is a relationship between figures (i) and (ii). Establish a same relationship between figures (iii) and (iv) by selecting a suitable figure from the options which will replace the '?' in figure (iv).
A.
BATTER TRIAL EAT ATTITUDE
81 169
A. B. C. D.
ATTRIBUTABLE A. B. C. D.
11
69 70 80 83
9
B.
Copyright©2015. Science Olympiad Foundation (SOF)
3
7th IMO - Set A
14. Tarun ranked 6th in a class of 35 students. What is his rank from the bottom of the class?
C.
D.
10. Select the missing part, which will complete the pattern in Fig. (X)?
A. B. C. D.
39th 30th 28th 31st
15. Which of the following options is exactly same as that of Fig. (X)? A.
B.
C.
A.
D.
B.
16. Select a figure from the options which will continue the series established in the five problem figures.
C.
D.
A.
11. Select the odd one out.
A. B. C. D.
53685 45684 37683 94319
VT5 6 B 2 L A. B. C. D.
A. B. C. D.
Beena Garima Latika Priya
F
C.
F
D.
L 2 B 6 5TV
13. Five girls took part in a race. Beena finished before Priya but behind Latika. Garima finished before Zarrin but behind Priya. Who won the race?
B.
12. Which of the following is the correct mirror image of given word, if the mirror is placed vertically left?
F
F
17. If a meaningful word be formed using the five letters RCONW each only once, then the fourth letter of that word is your answer. If more than one such word can be formed, your answer would be 'X' and if no such word can be formed, your answer is 'M'.
A. B. C. D.
M W X N
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4
7th IMO - Set A
18. If 'Rain' is called 'Road', 'Road' is called 'Water', 'Water' is called 'Cloud', 'Cloud' is called 'Sky', 'Sky' is called 'Sea' and 'Sea' is called 'Path', where do aeroplanes fly?
A. B. C. D.
20. If Rohan works on all Saturdays and the dates which are multiples of 5 are considered as holidays, then how many days are working? (Assume that Sunday is a holiday)
Road Sky Sea Water
19. Find the wrong term in the given series. X1M W2N V3O U4Q T5Q
A. B. C. D.
W2N V3O U4Q T5Q
A. B. C. D.
24 21 19 20
MATHEMATICAL REASONING 21. Find the difference in perimeters between the two figures. (figures are not drawn to scale) 4cm
3cm 7cm 3cm 4cm
5cm
5cm 6cm
25. What fraction of the figure is shaded?
4cm
3cm
1 2 1 5 1 4 1 3
A.
B.
C.
22. The product of 214 and a number is X. Taking 49 away from X gives 1449. Find the number.
D.
26. What is the missing number in the box?
A. B. C. D.
A. B. C. D.
5 6 8 2
cm cm cm cm
7 9 1498 1640
2
23. I am an even number. You will find me if you count in 7s. I am less than 100. I am more than 80. Who am I?
A. B. C. D.
72 84 96 82
24. The sum of 3.298, 4.085 and 17.8 is _____.
A. B. C. D.
7.561 9.163 25.183 28.291
A.
B.
C.
D.
1 8
3
1 4
?
1 4 1 4 5 1 3 8 1 5 3 4
27. How many of the given letters have atleast one line of symmetry?
Copyright©2015. Science Olympiad Foundation (SOF)
5
7th IMO - Set A
A. B. C. D.
0 1 2 3
31. 40 more children visited the old age home on Monday than on ______.
28. Find the value of P.
P+1=Q Q+1=R P + Q = 15 Q + R = 17 A. 6 B. 9 C. 8 D. 7
A. B. C. D.
1660 30340 32000 33660
Direction (30-31) : The given graph shows the number of children who visited an old age home in 5 days. Study the graph carefully and answer the given questions. 600 Number of children
Tuesday Wednesday Thursday Friday
32. Subtract 65 minutes from the sum of 145 minutes and 1 hour 20 minutes. The answer is
29. Taking a number from 32 thousands gives 14 hundreds and 26 tens. The number is _____.
A. B. C. D.
400 300 200
165 mins 2 hrs 40 mins 215 mins 3 hrs 40 mins
33. How many of the given figures have right angles?
A. B. C. D.
2 3 4 5
34. Select the INCORRECT match.
500
A. B. C. D.
A. B. C. D.
CXLIX – 149 DCCX – 710 XCVII – 108 MCLIV – 1154
35. What is the shaded area of the figure?
100 0
Mon
Tue
Wed
Thur
Fri
30. On which two consecutive days was there a difference of 80 in the number of children who visited the old age home?
A. B. C. D.
Monday, Tuesday Tuesday, Wednesday Wednesday, Thursday Thursday, Friday
2cm 2cm
A. B. C. D.
30 28 32 42
cm cm2 cm2 cm2 2
EVERYDAY MATHeMATICS 36. There were 32 boys and 4 times as many girls in a physical fitness camp. How many more girls were there?
A. B. C. D.
84 96 108 72
37. A bike travelled 486 km in 6 hours. How far did it travel in 4 hours ?
A. B. C.
224 km 324 km 420 km
D.
234 km
Copyright©2015. Science Olympiad Foundation (SOF)
6
7th IMO - Set A
38. The population of a town is 28,76,543. Out of these 15,42,678 are males. How many females are there in the town?
A. B. C.
13,33,885 13,33,568 13,33,865
D.
13,23,856
A. B. C. D.
A.
B.
C.
D.
A.
C. D.
128.25 L 130.75 L
A. B. C. D.
` ` ` `
1 2
40.8 44 44.1 34.8
43. Amrita had to travel 20 km to attend a function. She had covered 17 km 50 m when the car broke down. How much distance is remained to be covered?
540 8000 600 800
1 5 L 8 1 5 L 7
1 4 L 8 1 6 L 3
A. B. C. D.
2 km 590 m 30950 m 2045 m 2 km 950 m
44. Ankita's sister goes for Kathak dance lessons on Tuesday, Thursday and Saturday every week. If each lesson lasts 50 minutes, how much time did she practise Kathak dance at her class in three weeks?
A. B. C. D.
7 7 6 8
hrs hrs hrs hrs
30 35 35 45
mins mins mins mins
45. The area of a swimming pool is 225.28 sq metres. Its breadth is 8.8 metres. Find the length.
41. If a drum can hold 18.75 L of diesel, how many litres of diesel can 7 such drums hold?
131.25 L
tickets?
3 40. The health club advises every child to drink 2 L 4 7 of water in the morning, 1 L in the afternoon and 8 1 L before going to bed. How much water should a 2 child drink in whole day?
B.
42. A ticket costs ` 12.60. How much shall I pay for 3
39. 3,84,000 marble tiles have to be packed in boxes. If 480 marble tiles can be packed in one box, how many boxes would be needed?
130.89 L
A.
25.8 m
B.
25.6 m
C.
35.2 m
D.
40.1 m
Achievers Section 46.
My weight is 5 kg 6
1 kg 12
A.
B.
C.
10 kg 4 7 kg 8 5 kg 4
D.
What is my weight?
1 kg 8
8 kg 9
47. The figure is made up of 4 identical squares. Find AB + CD.
A
A. B. C. D.
4 3 5 6
B
cm cm cm cm
Copyright©2015. Science Olympiad Foundation (SOF)
C
D 3 cm
7
7th IMO - Set A 48. The
represents a whole number. What is
?
87 5 × 5 43 75 A. B. C. D.
7 8 9 5
A. B. C. D.
3 3 4 4
hrs hrs hrs hrs
45 40 15 40
mins mins mins mins
15 10 15 10
sec sec sec sec
50. 100 trees were planted along one side of a straight road. The trees were planted 9 m apart. What is the distance between the first and the last tree?
49. Aman drove from Town P to Town Q. How long did he drive?
Left Town P
Arrived at Town Q
A. B. C. D.
882 891 900 909
m m m m
sPace P Pace For roUgH WorK
Copyright©2015. Science Olympiad Foundation (SOF)
9m
Class 5 7th
SET B Year 2013
Copyright©2015. Science Olympiad Foundation (SOF)
2
7th IMO - Set B
logical reasoning 1.
How many meaningful English words can be made with the letters ERTU using each letter only once in each word?
A. B. C. D.
2.
Study the given arrangement carefully :
5.
Find the number of cubes in the given figure.
A. B. C. D.
6.
Select a figure from the options in which Figure (X) is embedded as one of its part.
0 1 2 More than two
1 FA3 D K U J 9 B R 2 K E L8 G P Which of the following is eighth to the right of seventh letter from the left end in the above arrangement?
A. B. C. D.
F P L 2
3.
Select the figure from the options which forms the correct mirror image of Fig. (X), if mirror is placed along MN?
13 14 15 16
Figure (X)
A.
B.
C.
D.
B.
7.
Mohit travels 12 km west, then 3 km towards south and then 12 km towards east. How far is he from the starting point?
C.
A. B. C. D.
D.
8.
4.
In a certain code 'INFORM' is written as 'FNIMRO', then 'DETECT' will be coded as _______.
Samay correctly remembers that he visited Chandigarh before thirteenth of August but after ninth of August. His sister Priya correctly remembers that Samay visited Chandigarh after eleventh of August but before fourteenth of August. On which day of August did Samay visit Chandigarh?
A. B. C. D.
A. B. C. D.
Fig. (X)
A.
DETTCE TEDECT TEDCET TEDTCE
3 km 20 km 15 km 5 km
Eleventh Twelfth Tenth Thirteenth
Copyright©2015. Science Olympiad Foundation (SOF)
3
7th IMO - Set B 9.
Garima is senior to Megha but not to Zarrin. Beena is junior to Megha but no one is senior to Latika. Who is the most junior? A. B. C. D.
Garima Megha Latika Beena
10. If one is added to the second digit of each number in given set of numbers, then which number will be lowest? 489 441 454 473 483
A. B. C. D.
441 489 454 473
11. Select a figure from the options which will complete the Figure (X).
Figure (X)
A.
B.
C.
14. What will come next in the series below? C4X, F9U, I16R, ?
A. B. C. D.
K25P L25P L25O L25M
15. Tisha ranks eleventh from the top and tenth from the bottom in an exam. How many students are there in her class?
A. B. C. D.
20 21 22 19
16. Select a figure from the options which will complete the series shown below.
A.
B.
C.
D.
17. There is a certain relationship between figures (1) and (2). Establish a similar relationship between figures (3) and (4) by selecting a figure from the options to replace the (?) in figure (4).
D.
12. Find the missing number, if a certain rule is followed row-wise or column-wise. 24
82
96
32
78
100
14
65
?
A. B. C. D.
79 69 59 89
13.
Select the odd one out. A. ADGJ B. PSVY C. JMOR D. UXAD
A.
B.
C.
D.
Copyright©2015. Science Olympiad Foundation (SOF)
4
7th IMO - Set B
18. Select a combination of numbers from the options which will form a meaningful word.
Y 1
A. B. C. D.
3, 3, 3, 3,
2, 2, 1, 2,
L 2 5, 5, 2, 1,
1, 1, 5, 5,
P 3 6, 4, 4, 6,
E 4
A 5
R 6
4 6 6 4
C.
D.
19. Identify the symmetrical figure corresponding to the half symmetrical figures shown below. 3 -turn 4 in an anti-clockwise direction and then 270° turn in clockwise direction. He is facing _________ now.
20. Sandeep is facing the Garden. He makes a
A.
B.
A. B. C. D.
Playground Garden Swimming pool Library
Mathematical reasoning 21. Which of the following options makes the given expression true? 990064 + 420349
A. B. C. D.
912345 + 521935
> < = Can’t be determined
22. Select the INCORRECT match.
A. B. C. D.
LIV = 54 XLVI = 46 LXXIX = 89 XL = 40
23. The quotient when 222816 is divided by 24 is _____.
A. B.
9286 9284
C. D.
9248 2984
24. How many prime numbers are there between 40 and 54?
A. B. C. D.
4 5 3 6
25. The given figure shows two ribbons. What is the difference in length between the ribbons?
A. B. C. D.
1.8 1.6 1.7 1.5
m m m m
Copyright©2015. Science Olympiad Foundation (SOF)
5
7th IMO - Set B 26. The value of 9.85 + 0.6 – 0.28 is ____.
A. B. C. D.
10.73 10.37 10.17 9.17
C. D.
18 20
31. The number of factors of 126 are ______.
27. What is the area of the shaded figure?
A. B. C. D.
12 14 16 18
1 of the given figure was to be shaded, what 4 fraction of the whole figure would be shaded?
32. If another
A. B. C. D.
26 52 64 56
cm2 cm2 cm2 cm2
28. How many lines of symmetry does the figure have?
A.
B.
C.
D.
5 7 3 8 4 7 1 2
33. The product of 24 tenths and 4 ones is the same as _________.
A. B. C. D.
0 1 2 4
29. Find the perimeter of the given figure. (Two rectangles are of same shape and size) (FG = FH = GH)
A. B. C. D.
165 150 135 170
cm cm cm cm
30. How many right angles are there in the figure?
A. B.
12 16
A. B. C. D.
96 tenths 9 tenths 6 hundredths 96 hundredths 9 ones 6 hundredths
34. The clock shows the time at which the movie started. 1 The movie ended 2 hours later. When did the 2 movie end?
A. B. C. D.
5 4 4 5
: : : :
17 47 50 20
35. On a Saturday afternoon, Avantika read page 346 to page 597 of a novel. How many pages did she read? A. 251 B. 252 C. 253 D. 250
Copyright©2015. Science Olympiad Foundation (SOF)
6
7th IMO - Set B
everyday Mathematics 36. Mr. Gupta bought a house for ` 1672000. He spent ` 12582 on the furniture and ` 8540 for the curtains. Then he spent another ` 5675 for preparing the front lawn of the house. How much money did he spend altogether?
A. B. C. D.
` ` ` `
1678997 1698797 1498567 1512998
37. Latika saved ` 28.50 from her pocket money. Her mother gave her ` 45.70 and her father also gave her ` 65.25. How much money does Latika have now?
A. B. C. D.
` ` ` `
129.78 139.45 119.75 145.50
39. A rectangular floor is 9 m long and 7 m wide. A square rug of length 5 m is laid on the floor. What is the area of the floor not covered by the rug?
A. B. C. D.
25 38 63 88
A. 1 hour
62 minutes 51 minutes 91 minutes
A. B. C. D.
15877 18577 19757 19577
42. A rectangular playground is 125 m long and 95 m wide. If a boy walks around it 3 times, how much distance does he cover? A. B. C. D.
1320 m 1300 m 660 m 1200 m
43. There was 11.265 L of tea in a pot. It was distributed among 40 people, each person get 220 mL of tea. 1.345 L of tea fell on the floor. How much tea is left in the pot?
A. B. C. D.
1.1 L 1.12 L 10.71 L 8.9 L
1 44. Shweta bought 7 metre lace for making a dress. 4 1 If 1 metre of the lace is left, what length of lace 6 was used by her?
A.
B.
C.
D.
1 7 m 3 1 5 m 3 1 6 m 12 6m
45. What is the cost of 3 kg of cherries?
m2 m2 m2 m2
40. Aman took 1 hr 21 minutes to travel from his house to his office on Monday. He took 2 hrs 12 minutes to travel the same route on Tuesday because of a traffic jam. How much longer did he take on Tuesday?
B. C. D.
41. A housing project involves construction of 1879392 houses for poor people in 96 colonies. How many houses will be constructed in each colony?
1 38. The price of a metre of cloth is ` 12 . What would 2 7 be the price of 5 metre of cloth? 15 1 A. ` 59 15 1 B. ` 70 5 1 C. ` 68 3 1 D. ` 45 3
85 paise per 100 g.
A. B. C. D.
` ` ` `
26 23.85 8.5 25.50
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7
7th IMO - Set B
ACHIEVERS SECTION 46. The time shown on Manu’s watch was 45 minutes slow. He adjusted the watch to set it to the actual time. How many right angles had he formed by moving the minute hand? Did he make a clockwise or anti-clockwise turn?
A. B. C. D.
2 2 3 3
right angles, anti-clockwise right-angles, clockwise right angles, anti-clockwise right angles, clockwise
49. Which of the following statements is INCORRECT?
A. B. C.
D.
Division by zero is not possible. Symbols V, L and D can be used only once. 2 is the only even number which is a prime number. The sum of common factors of 32 and 48 is 20.
50. Select the correct match. Figure
Unshaded Area
Shaded Area
47. The difference between (4 tens 12 tenths and 25 hundredths) and (3 tens 14 tenths and 45 thousandths) is
A.
96 cm2
44 cm2
B.
180 cm2
108 cm2
C.
20 cm2
15 cm2
D.
92 cm2
48 cm2
A. B. C. D.
10.05 10.005 10.5 15.005
48. Which of the following options hold? Statement 1 : The value of CM – CD + CVII is 607. Statement 2 : Symbol C can be added to every Roman symbol. But it can be subtracted from D and M only.
A. B. C. D.
Statement 1 is true but statement 2 is false. Statement 1 is false but statement 2 is true. Both the statements are true. Both the statements are false.
SPACE FOR ROUGH WORK
Copyright©2015. Science Olympiad Foundation (SOF)
Class 5 8th
Set A Year 2014
Copyright©2015. Science Olympiad Foundation (SOF)
2
8th IMO - Set A
logical reasoning logical reasoning 1.
Find the missing number in the given number pattern. 9
27
31
93
97
A. B. C. D.
2.
If 'Train' is called 'Bus', 'Bus' is called 'Tractor', 'Tractor' is called 'Car', 'Car' is called 'Scooter', 'Scooter' is called 'Bicycle', 'Bicycle' is called 'Rickshaw', then which is used to plough a field?
A. B. C. D.
3.
Which of the following Venn diagrams depict the relationship amongst 'Nose, Body, Hands'?
316 1135 291 377
Train Bus Tractor Car
B.
C.
D.
4.
In the given letter series, which letter is exactly midway between F and R?
5.
A. B. C. D.
7.
Find the figure which is different from the others.
A.
B.
C.
D.
8.
Select the correct mirror image of the given Fig. (X).
23 22 20 24
A.
Count the number of cubes in the given figure.
?
6.
Mirror
YAC B E D F I J H K M N O Q PR U V X T Z A. N B. K C. M D. H Find the missing number, if a certain rule is followed in the given figures.
A. B. C. D.
25 33 39 41
3 19 5
7 39 5
6 ? 4
4
4
9
Fig. (X)
A.
B.
C.
D.
Copyright©2015. Science Olympiad Foundation (SOF)
8th IMO - Set A
9.
3
Which line in the given diagram is the correct line of symmetry? P E G R
A. B. C. D.
F
Q
PQ RS EF GH
10. There is a certain relationship between fig. (i) and (ii). Establish a similar relationship between fig. (iii) and (iv) by selecting a suitable figure from the given options. ? (i)
A.
B.
C.
D.
(ii)
(iii)
A. B. C. D.
2, 5, 4, 4,
5, 6, 2, 2,
3, 2, 6, 6,
130° 315° 225° 230°
A. B. C. D.
2
6
8
12
17
5
13
?
25
35
17 27 35 41
14. Which of the following figures is the top view of the solid?
A.
B.
C.
D.
(iv)
11. Some letters are given which are numbered 1, 2, 3, 4, 5 and 6 followed by four options containing combinations of these numbers. Find the combination of numbers so that letters arranged accordingly form a meaningful word. E 1 4, 1, 3, 1, 5, 1, 5, 3,
A. B. C. D.
13. What is the missing number in the given series below?
S
H
H N T O R 2 3 4 5 6 6 4 3 1
12. Beena was facing the library at the beginning. She turned anti-clockwise to face south-east. What angle did she turn through? North Library
15. Which of the following options will complete the Fig. (X)?
? Fig. (X)
A.
B.
C.
D.
Copyright©2015. Science Olympiad Foundation (SOF)
4
8th IMO - Set A
MATHEMATICAL REASONING 16. In the given figure, the area of the shaded square is 196 cm2. What is the perimeter of the rectangle EFGH? E F
A. B. C. D.
90 54 98 49
H cm cm cm cm
G
17. Using the given clues, find the value of
+
×
+
A. B. C. D.
+
.
= 15.9 = 21.2
×
= 1.5
0.375 0.235 0.75 0.1405
a
c
d A. B. C. D.
∠a ∠b ∠c ∠d
A. B. C. D.
Class 5A Class 5B
Mon Tue
Wed Thu Days
Fri
20 kg 16 kg 24 kg 9 kg
21. Select the correct match.
18. Which of the angles in the figure is larger than 2 right angles?
10 9 8 7 6 5 4 3 2 1 0
Weight (in kg)
20. The given bar graph shows the weight of old newspapers collected by 2 classes over 5 days. What is the difference between the total weight collected by class 5A and class 5B?
A. B. C. D.
897 - DCCXCVII 1234 - MCCXXIV 541 - CDXLI 547 - DXLVII
22. H o w m a n y s h a p e s d o n o t h a v e a n y l i n e o f symmetry?
b
19. The total weight of 3 objects is shown in the figure. The cone is 1 kg heavier than the ball. The ball is 1 kg heavier than the cylinder. What is the weight of the cone?
A. B. C. D.
3 1 2 4
23. Find the missing value. 2.25 ÷ 9 + 1
A. B. C. D.
5 8 6 7
kg kg kg kg
A. B. C. D.
1 1 – (6.5 × 0.2) = ___ ?__ × 4 8
0.075 0.3 1.3 1.375
Copyright©2015. Science Olympiad Foundation (SOF)
8th IMO - Set A
5
24. Rohan cycled from his house to the post office, then to the market, then to the doctor and then he went to his house. The distances are marked in the given figure. What is the total distance covered by Rohan? Post Office
1.6
House
0.7
A. B. C. D.
km
Market
km
5k
1.3
m
29. What is the difference in the place value of the digits 8 and 6 in the numeral 8962321?
A.
7994000
B.
7904000
C. D.
7960000 7940000
30. What is the missing sign in the box?
Hospital
5
6.6
1 1 1 4 +9 −3 5 5 5
km
12.5 km 11.4 km 9.53 km 10.3 km
A.
<
B.
=
C. D.
> Can't be determined
1 1 1 6 −8 +5 4 4 4
31. Which of the following statements is INCORRECT?
25. What fraction of the figure is shaded?
A.
A square has 4 equal sides.
B.
A rectangle has 2 pair of equal sides.
C. D.
A square has 4 right angles. A rectangle has only 2 right angles.
32. 80 has ____ factors.
A.
B.
C.
D.
5 8 5 16 5 32 5 64
A.
10
B.
6
C. D.
8 12
33. Mohit drove from Delhi to Chandigarh as per the time shown in the clocks. How long did he drive?
26. The place value of 6 in 43,34,96,258 is ____.
A. B. C. D.
6000 60000 600000 6000000
Left Delhi
A.
5 hours 20 minutes
27. 19 : 40 hrs in 12 hr clock is written as ____.
B.
5 hours 25 minutes
C. D.
5 hours 30 minutes 5 hours 40 minutes
A. B. C. D.
7:40 7:40 9:40 9:40
a.m. p.m. a.m. p.m.
28. If + + = 34.03 kg and + + + = 39590 g, then + + + + = _____.
A. B. C. D.
50.56 kg 19.03 kg 12.5 kg 55.56 kg
Arrived Chandigarh
34. Garima is XIII years old. Her sister is X years old. How old will they be when their total age is LV years?
A.
XXIX, XXVI
B.
XXV, XXII
C. D.
XX, XXIII XIX, XXII
Copyright©2015. Science Olympiad Foundation (SOF)
6
8th IMO - Set A
35. The difference between the (sum of third multiple of 18 and the sixth multiple of 12) and sum of factors of 24 is ____.
A. B. C. D.
66 186 176 126
EVERYDAY MATHeMATICS 36. A company earned ` 56,48,000 in a year. If the expenses were ` 4,74,596, how much money was saved?
A.
` 2,34,467
B.
` 61,37,007
C. D.
` 52,34,728 ` 51,73,404
37. In a class, there are 28 boys and 14 girls. What fraction of the pupils are girls?
A.
1 3
B.
1 4
C.
D.
C. D.
` 88 ` 65
41. Varun purchased a book for ` 18.45, a pair of shoes for ` 70.25 and a shirt for ` 55.75. How much money did Varun spend in all?
A.
` 144.35
B.
` 154.53
C. D.
` 144.45 ` 114.55
42. The base of a rectangular tank is 21.5 m long and 10 m broad. Find the cost of painting the base of the tank, if the cost of painting is ` 2.50 per sq. m.
1 5 1 6
A.
` 118.50
B.
` 215.80
C. D.
` 587.50 ` 537.50
38. A fruit seller had 69875 oranges. He packed them in boxes, with each box containing 325 oranges. Find the number of boxes.
43. Mini took 35 minutes to complete her homework. She finished her homework at 12:05 p.m. What time did she start doing her homework?
A.
225
A.
11:30 p.m.
B.
315
B.
11:30 a.m.
C. D.
215 205
C. D.
12:40 a.m. 12:40 p.m.
39. Latika takes 3 minutes 20 seconds to finish reading of one page of a storybook. If the book has 42 pages, how long will she take to finish reading it?
A. B. C. D.
22 minutes 20 seconds 1 hour 24 minutes 134.4 minutes 2 hours 20 minutes
1 1 40. The cost of 3 kg of sweets is ` 185 . Find the cost 2 2 of 1 kg of sweets.
A.
` 55
B.
` 53
44. Saurabh can read 6 books in a day. How many weeks will he take to finish 1440 such books?
A.
33
B.
35
C. D.
240 10
45. 68 people can travel in one bus. How many buses will be needed for 1904 people going on a pilgrimage?
A.
27
B.
28
C.
26
D.
29
Copyright©2015. Science Olympiad Foundation (SOF)
8th IMO - Set A
7
Achievers section 46. In a town, there are two public libraries. The number of books in one library is 3,48,386 and the number of books in the other library is 5,17,058.
(a) What is the total number of books in both the libraries? (b) How many more books does the second library have than the first library?
(a)
C.
D.
In the number 8176942, the place value of the digit '1' is 50000 × 20. The place value of the digit '5' in the number 7538612 is 21869 more than 478131.
49. Find the value of
)
463 2730311
(b)
A.
765484
268493
B.
765239
168672
C. D.
865444 865444
168672 158672
−231 R 4153 − 3704 4491 −4 S 67 3241 − 3241 0
47. Rohit’s car was parked in parking from 2.30 p.m. to 6.25 p.m. How much does he have to pay? Parking Rates First hour ` 13.20 Every additional half an hour or part ` 4.55 thereof
A. B. C. D.
` ` ` `
P×Q−S + R . 2 5P9Q
45.5 35.95 25 40.5
A. B. C. D.
40 30 60 55
50. Monu is thinking of a four digit number.
48. W h i c h o f t h e f o l l o w i n g s t a t e m e n t s i s INCORRECT?
A.
The place value of the digit '2' in the number 532689 is 200 times the number 10.
B.
The difference in place values of the digits '7' and '4' in the number 6734581 is 696000.
● ●
●
● A. B. C. D.
The fourth digit is the greatest. When the third digit is divided by the first digit, the quotient is 2. The difference between the second and third digit is 1. The first digit is double of 2. 3768 4789 5698 1239
SPACE FOR ROUGH WORK
Copyright©2015. Science Olympiad Foundation (SOF)
Class 5 8th
Set B Year 2014
Copyright©2015. Science Olympiad Foundation (SOF)
8th IMO - Set B
2
logical reasoning 1.
How many meaningful English words can be formed from the letters ADRW using each letter only once in each word?
A. B. C. D.
2.
Some letters given are numbered 1, 2, 3, 4 and 5 followed by four options containing combination of these numbers. Find the combination of numbers so that letters are arranged accordingly to form a meaningful word. U J C I E 1 2 3 4 5 A. B. C. D.
3.
There is a connection between the numbers in the first row and those in the second row. Find the missing number.
4.
If Mohit is facing the sports club and turn in an anticlockwise direction to face the Airport, what angle did he turn through?
A. B. C. D.
6.
Find the missing number, if the wheel is rotated in the given direction.
A. B. C. D.
7.
Select the correct mirror image of Fig.(X).
A. B.
C.
D.
8.
Four darts were thrown at a dartboard as shown below. All four darts landed on the dartboard. Which of the following is not a possible score?
A. B. C. D.
One Two Three None of these
5.
1, 2, 2, 3,
2, 4, 1, 1,
3, 1, 4, 2,
4, 5, 3, 4,
5 3 5 5
First row : 15 21 34 12 19 Second row : 105 147 238 84 ? A. 133 B. 143 C. 193 D. 173 Which of the following options will complete the pattern in Fig.(X)?
225° 135° 180° 270°
8 4086 16 4096
A.
B.
C.
D.
80 90 130 210
Copyright©2015. Science Olympiad Foundation (SOF)
8th IMO - Set B
9.
3
The top half of a symmetrical figure is shown below. XY is the line of symmetry. Which one of the following options will complete the symmetric figure?
13. Which of the following Venn diagrams best represents the relationship amongst Colour, Red, Blue? A.
B.
A.
B.
C.
C.
14. Find the odd one out.
D.
A.
A. B. C. D.
D.
10. If 'White' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Yellow', 'Yellow' is called 'Green', 'Green' is called 'Black', 'Black' is called 'Violet' and 'Violet' is called 'Orange', then what would be the colour of human blood?
B.
Red Yellow Green Violet
C.
D.
11. Count the number of squares in the given figure.
15. There is a certain relationship between Fig.(i) and (ii). Establish the similar relationship between Fig.(iii) and (iv) by selecting a suitable figure from the options which will replace the (?) in Fig.(iv).
A. B. C. D.
11 21 18 19
A.
12. Study the following arrangement carefully and answer the question given below. m 4 et % j 9 ib @ u 8 © n # f 1 v 7 2 ah 3 y 5 $ 6 K
Which of the following is ninth to the right of the seventeenth from the right end of the above arrangement? A. B. C. D.
A % I Y
B.
C.
D.
Copyright©2015. Science Olympiad Foundation (SOF)
8th IMO - Set B
4
mathematical Reasoning 16. What fraction of the figure is unshaded?
19. ______ is a factor of 6th multiple of 53.
A.
4
B.
5
C.
6
D.
7
20. Which of the following numbers is the greatest?
A.
0.6
B.
0.64
13 16
C.
0.608
B.
D.
0.631
13 32
C.
21. Place value and face value of a number is always
19 32
D.
32 19
A.
One’s Place
B.
Ten’s place
C.
Hundred’s Place
D.
None of these
A.
equal at ____.
17. Rectangle ACEG below is divided into 4 parts. BCDX is square. What is the area of the shaded part?
22. Which one of the figures is a symmetrical figure?
A. B. C. D.
28 32 48 64
cm2 2 cm cm2 2 cm
18. The given table shows a baby's weight on the first day of each month from April to August. Date 1 April 1st May 1st June 1st July 1st August st
Weight (kg) 3.6 5.0 6.0 6.7 7.2
In which month did the baby's weight increase the most?
A. B. C. D.
April May June July
A.
Both (i) and (v)
B.
Only (v)
C.
Both (ii) and (iv)
D.
Only (iii)
23. 19 ÷ 5
2 2 1 + 32 ÷ 5 = 13 − _____ . 3 3 6
A.
4
1 6
B.
8.9
C.
9
D.
51
24. Roman numeral for 498 is ____.
A.
CDCXVIII
B.
CDCXIV
C. D.
CDXCVIII None of these
Copyright©2015. Science Olympiad Foundation (SOF)
8th IMO - Set B
5
25. The shaded figure given below is formed using 3 squares and 3 equilateral triangles. The length of the straight line AB is 15 cm.
31. ______ is equivalent of one lakh in International System of number.
A.
Hundred thousand
B.
Ten million
C.
One million
D.
Ten thousand
32. How many angles inside the figure below are equal to three right angles?
Find the perimeter of the shaded figure.
A.
45 cm
B.
70 cm
C.
75 cm
D.
105 cm
26. Sum of the factors of 71 is ______.
A.
72
B.
194
C.
71
D.
78
27. 4
A.
4
B.
2
C.
3
D.
1
33. What is the weight of the packet of sugar as shown on the weighing scale in the figure?
5 hours = _____ seconds. 6
A.
11400
B.
17400
C.
8700
D.
10800
28. There are ______ pair of parallel W lines in the given figure. Y A. 2 X
B.
5
C.
3
D.
4
B
A
Z
K E H
D C G
F
A.
300 g
B.
350 g
C.
400 g
D.
450 g
A.
2.625 × 10
1 complete 34. How many right angles are there in 2 2 turns?
B.
2.625 ÷ 10
C.
2625 × 10
A.
8
D.
26250 ÷ 10
B.
10
C.
12
30. ______ is a factor of every number and every number is a factor of itself.
D.
14
A.
0
B.
1
A.
318 – CCCXVIII
C.
2
B.
523 – DXXIII
D.
10
C.
694 – DCXIV
D.
940 – CMXL
29. 100 × 26.25 is same as ______.
35. Select the incorrect match.
Copyright©2015. Science Olympiad Foundation (SOF)
8th IMO - Set B
6
Everyday mathematics 36. A traveller covered a distance of 268640 km in 365
41. In the first year, the total amount earned from the
days. If he covered the same distance every day, how
sale of tickets for a play is ` 7580.95. In the second
much distance did he cover each day?
year, the amount goes up to ` 9635.65 and in the third year, it is ` 152 less than what it was in the second
A.
810 km
B.
736 km
C.
736 m
A.
` 2670.25
D.
533 m
B.
` 10317.50
C.
` 78416.30
D.
` 26700.25
year. What is the total amount in three years?
2 37. A gas cylinder has a capacity of 34 L of gas. 27 L of 3 gas is used. How much gas is left in the cylinder?
6
1 L 3
B.
5
2 L 3
C.
4
3 L 7
A.
D.
9
42. Find the area of rectangular garden of length 18 m and breadth 10 m. Also, find the cost of manuring 2 the garden at the rate of ` 5 per m .
1 L 2
A.
2 180 m , ` 1800
B.
180 m2, ` 900
C.
28 m2, ` 280
D.
14 m2, ` 450
43. There are 656 apples in one box. How many apples are there in 945 such boxes?
38. A tin can hold 17.8 L of oil. How many such tins will be required to hold 213.6 L of oil?
A.
324720
B.
616620
A.
12
C.
514313
B.
17
D.
619920
C.
13
D.
20
1 of the 546 residents 6 watch the Sports channel. Find the number of people
44. In a multi-storey building,
39. Five friends went on a picnic. Each of them covered
who do not watch this channel.
30 km 830 m distance in his car. How much distance did all of them travel together?
A.
436
A.
15415000 km
B.
455
B.
154 km 150 m
C.
544
C.
150 km 154 m
D.
380
D.
1504150 km
45. A hostel consumes 22 L 500 mL of milk each day. If 450 mL milk is consumed by each child, find the
40. The train fare from Delhi to Amritsar for 10 persons
number of children in the hostel.
is ` 1850. What is the fare for 25 persons?
A.
` 18500
A.
50
B.
` 462500
B.
70
C.
` 4625
C.
120
D.
` 2500
D.
90
Copyright©2015. Science Olympiad Foundation (SOF)
8th IMO - Set B
7
Achievers section 46. In an election, there were three candidates P, Q and R. Candidate P got 68,36,940 votes and candidate Q got 64,47,542 votes. If the total number of votes was 2,63,46,709, how many votes did candidate R get? Who won the election?
A.
26345712, Q
B.
13062227, P
C.
13062227, R
D.
64940368, R
C.
The billions place is 100 times larger than the millions place.
D.
Product of XVII and XXIV added to XXXIII is CDXLI.
49. Vivek rented a bicycle for 3 hours. How much did he pay? First hour :
` 7 1 Every additional hour: ` 3 2
47. Part of a scale is shown below. What is the value of the reading at X?
A.
` 13
B.
` 19
C.
` 22
D.
` 30
A.
10.02 cm
50. Gautam is thinking of a four digit number.
B.
10.04 cm
The fourth digit is thrice the first digit.
C.
10.2 cm
The second digit is the second multiple of 2.
D.
10.4 cm
The third digit is the smallest even number.
48. Which of the following statements is correct?
Find the number.
A.
One lakh and one hundred thousands will give 3 lakhs.
A.
3426
B.
6421
B.
The difference between ten lakhs and one million is 100000.
C. D.
9423 3429
SPACE FOR ROUGH WORK
Copyright©2015. Science Olympiad Foundation (SOF)
ANSWER KEYS 4 th IMO (2010) 1. (A) 11. (C) 21. (A) 31. (B) 41. (C)
2. (B) 12. (D) 22. (C) 32. (B) 42. (B)
3. (B) 13. (B) 23. (A) 33. (D) 43. (C)
4. (A) 14. (C) 24. (B) 34. (D) 44. (C)
5. (A) 15. (B) 25. (D) 35. (B) 45. (D)
6. (D) 16. (B) 26. (D) 36. (B) 46. (D)
7. (C) 17. (A) 27. (A) 37. (C) 47. (A)
8. (B) 18. (A) 28. (D) 38. (C) 48. (D)
9. 19. 29. 39. 49.
(C) (B) (A) (B) (B)
10. 20. 30. 40. 50.
(B) (D) (B) (C) (C)
7. 17. 27. 37. 47.
(A) (D) (A) (B) (C)
8. 18. 28. 38. 48.
(C) (B) (A) (C) (B)
9. 19. 29. 39. 49.
(B) (C) (A) (A) (B)
10. 20. 30. 40. 50.
(B) (D) (C) (A) (B)
7. 17. 27. 37. 47.
(D) (B) (A) (B) (C)
8. 18. 28. 38. 48.
(B) (D) (C) (A) (A)
9. 19. 29. 39. 49.
(D) (A) (D) (A) (C)
10. 20. 30. 40. 50.
(C) (B) (D) (C) (D)
7. (A) 17. (A) 27. (A) 37. (C) 47. (D)
8. (D) 18. (C) 28. (B) 38. (C) 48. (B)
9. 19. 29. 39. 49.
(A) (B) (C) (B) (A)
10. 20. 30. 40. 50.
(B) (B) (C) (B) (D)
5 th IMO (2011) 1. 11. 21. 31. 41.
(B) (C) (C) (B) (C)
2. 12. 22. 32. 42.
(A) (D) (C) (D) (A)
3. 13. 23. 33. 43.
(B) (D) (B ) (D) (A)
4. 14. 24. 34. 44.
(D) (B) (D) (B) (B)
5. 15. 25. 35. 45.
(B) (C) (A) (C) (D)
6. 16. 26. 36. 46.
(D) (C) (A) (C) (C)
6 th IMO (2012) SET A 1. 11. 21. 31. 41.
(C) (A) (D) (B) (A)
2. 12. 22. 32. 42.
(D) (B) (B) (D) (C)
3. 13. 23. 33. 43.
(C) (B) (B) (C) (B)
4. 14. 24. 34. 44.
(B) (C) (A) (A) (B)
5. 15. 25. 35. 45.
(D) (D) (D) (C) (D)
6. 16. 26. 36. 46.
(B) (C) (D) (B) (B)
SET B 1. (C) 11. (B) 21. (A) 31. (B) 41. (B)
2. (B) 12. (C) 22. (C) 32. (A) 42. (C)
3. (D) 13. (C) 23. (D) 33. (D) 43. (A)
4. (C) 14. (A) 24. (B) 34. (D) 44. (B)
5. (B) 15. (B) 25. (C) 35. (B) 45. (B)
6. (C) 16. (D) 26. (C) 36. (A) 46. (C)
7 th IMO (2013) SET A 1. (B) 11. (D) 21. (B) 31. (D) 41. (B)
2. (A) 12. (B,D) 22. (A) 32. (B) 42. (C)
3. (A) 13. (C) 23. (B) 33. (B) 43. (D)
4. (B) 14. (B) 24. (C) 34. (C) 44. (A)
5. (D) 6. (D) 15. (C) 16. (D) 25. (A) 26. (A) 35. (A) 36. (B) 45. (B) 46. (B) SET B
7. (D) 17. (B) 27. (D) 37. (B) 47. (D)
8. (C) 18. (C) 28. (D) 38. (C) 48. (C)
9. 19. 29. 39. 49.
(B) (C) (B) (D) (A)
10. 20. 30. 40. 50.
(A) (D) (D) (A) (B)
1. (B) 11. (B) 21. (B) 31. (A) 41. (D)
2. (C) 12. (B) 22. (C) 32. (C) 42. (A)
3. (A) 13. (C) 23. (B) 33. (A) 43. (B)
4. (D) 14. (C) 24. (A) 34. (A) 44. (C)
5. (B) 15. (A) 25. None 35. (B) 45. (D)
7. (A) 17. (D) 27. (D) 37. (B) 47. (B)
8. (B) 18. (B) 28. (A) 38. (C) 48. (C)
9. 19. 29. 39. 49.
(D) (A) (D) (B) (D)
10. 20. 30. 40. 50.
(A) (B) (B) (C) (D)
7. (A) 17. (C) 27. (B) 37. (A) 47. (D)
8. (B) 18. (D) 28. (D) 38. (C) 48. (C)
9. 19. 29. 39. 49.
(D) (D) (D) (D) (B)
10. 20. 30. 40. 50.
(C) (D) (C) (B) (B)
7. (D) 17. (B) 27. (B) 37. (A) 47. (B)
8. (D) 18. (A) 28. (C) 38. (A) 48. (D)
9. 19. 29. 39. 49.
(B) (C) (D) (B) (B)
10. 20. 30. 40. 50.
(B) (B) (B) (C) (D)
6. (D) 16. (D) 26. (C) 36. (B) 46. (D)
8 th IMO (2014) 1. (C) 11. (D) 21. (D) 31. (D) 41. (C)
2. (D) 12. (B) 22. (C) 32. (A) 42. (D)
3. (A) 13. (A) 23. (B) 33. (B) 43. (B)
4. (C) 14. (D) 24. (D) 34. (A) 44. (B)
1. (B) 11. (A) 21. (A) 31. (A) 41. (D)
2. (C) 12. (A) 22. (B) 32. (C) 42. (B)
3. (A) 13. (B) 23. (A) 33. (C) 43. (D)
4. (B) 14. (D) 24. (C) 34. (B) 44. (B)
SET A 5. (B) 6. (D) 15. (B) 16. (C) 25. (B) 26. (A) 35. (A) 36. (D) 45. (B) 46. (C) SET B 5. (A) 6. (D) 15. (B) 16. (C) 25. (C) 26. (A) 35. (C) 36. (B) 45. (A) 46. (C)
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