Mtap Reviewer 2018- Grade 6 Reviewer

MTAP REVIEWER 2017 SELECTED QUESTIONS FOR REVIEW FOR 2018 MTAP CHALLENGE COMPETITION In cooperation with the Department of Education

GRADE 5 AND 6 REVIEWER

Preliminary Reviews 1) 27 – (11 + 9) × 4 ÷ 8 + 31 = _____ 2) 98 – 89 + 37 × (N – 4) = 268. What is N? 3) 28 and 832 thousandths is subtracted from 56 and 61 hundredths. What is the difference to the nearest tenths? 4) The quotient when 0.25 is divided by a number is 1000. What is the divisor? 5) Find the product of 3033 and 94. Divide your answer by the difference of 1500 and 1288. What is the answer to the nearest hundreds? 6) What percent of 3kg is 480 g? 7) Express 84 minutes as a fraction of 4 hours in lowest terms. 8) Using only the number 43, how many times will you use it as a factor to get a product whose ones digit is 7? 9) Mary has 54 oranges. She gives an equal number of oranges to each of her 13 friends. How many oranges does she have left? 10) Mother gave Kian and his younger sister Php2 115.00 to share between them. Kian spent Php778.00 from his share and had Php271.00 left. How much did Kian’s younger sister have? 11) A water jar can hold 36 cups of water or 24 glasses of water. If there are already 6 cups and 19 glasses of water in a jar, how many more cups of water can be put in a jar? 12) There are 42 notebooks that are going to be given equally among 7 children. How many notebooks will each child receive?

13) Ricky had 24 boxes of chocolate candies. There were 350 chocolate candies in each box. He repacked all the chocolate candies into packs of 70 and sold them at Php24.00 per pack. How much money did he collect from his total sale? 14) Annie, Jenny, Sam, and Gerry want to divide a certain number of candies in the corresponding ratio of 1:2:4:6. What is the ratio of the number of Jenny’s candies to the number of Gerry’s candies? 15) A rectangular tile is 2cm by 4cm. What is the area of a square with the least number of rectangular tiles that can be placed side by side to form a square? 16) At a furniture store, a chair was sold for Php475.00 less than a side table and Php278 more than a kitchen dish cabinet. The total cost of the three items was Php4175.00. What was the selling price of the side table? 17) In a box factory, Ian finished 5 boxes in 2 hours while Joey finished 10 boxes in 3 hours. If they work at the same rate, how many boxes can they finish in 12 hours? 18) Mother had 168 kg of flour. She packed it into 7/10 kg per pack. 3/5 of the packs of flour were sold to Tasing at Php3.69 per pack. How much did Tasing pay for the flour? 19) Dario gave 1/3 of his oranges to his brother and donated 160 oranges to the children in the neighborhood. He found that he had 240 oranges left. What fraction of the oranges did Dario have left? Express your answer in lowest terms. 20) What is the missing number in the sequence? 1, 4, 4, 7, 10, 16, 25, 40, ____. 21) Uncle Tirso had some fruits. 5/9 of the fruits were oranges. 1/3 of the remaining fruits were apples. The rest were guavas. What fraction of the fruits were guavas? 22) Tony subtracted a number from 21. He then multiplied the difference by 3 and divided the product by 8. If the quotient was 6, what was the number? 23) The price of a kilogram of fish is increased 3 1/2 times during summer. How many percent was the increase? 24) If 4/7 of a number is 112, what is 7/4 of the number? 25) What is the difference of 4 and 2 hundredths and 3 and 27 thousandths? Answers 1.) 48 2.) 11 3.) 27.8 4.) 0.00025 5.) 1300 6.) 16% 7.) 7/20 8.) 3 times 9.) 2 10.) Php1066 11.) 1.5 cups

12.) 6 13.) Php2880.00 14.) 1:3 15.) 16 sq cm 16.) Php1326 17.) 70 18.) Php531.36 19.) 600 20.) 21.) 1/9 22.) 5 23.) 350% 24.) 343 25.) 0.993

15-Second Questions 1.) What is the next perfect square after 169? 2.) What is the product if the prime numbers between 50 and 60? 3.) Give two numbers whose product is 90 and whose difference is 13. 4.) What whole number values of k will make the sentence 2 – k > 8 true? 5.) What is the value of 104 + 103? 6.) If 1/3 of a number is 160, what is ¼ of the number? 7.) Fe withdraws P10 000.00 in 20-peso bills. How many bills did she receive? 8.) Fifty-two is what percent of 80? 9.) If one side of a regular octagon is 3.25cm, what is its perimeter? 10.) Bob has 8 times as much money as Tim. Together, they have P1 260.00. How much money does Tim have? 11.) What is 1 million minus 1 thousand? 12.) A family earns P24 200.00 a month. If they save 5% of it, how much do they save? 30-Second Questions 1.) Two numbers are in the ratio 4:5. If their sum is 135, what is the bigger number? 2.) What is the three times the product of the prime numbers between 20 and 30? 3.) Mike had P1 500.00. He bought a shirt for P325.00 and a pair of shoes. If he had only P35.00 left, how much did he pay for the shoes? 4.) A square is 8 ½ on each side. If three squares are placed side by side, what is the perimeter of the rectangle formed?

5.) The cost of an item is increased from P250.00 to P350.00. What is the percent increase? 6.) The radius of a bicycle wheel is 35.5cm. What is its circumference? [Use π ≈ 3.14] 7.) A water hose sprays water at the rate of 10 litres per minute. How long will it take to fill a swimming pool that holds 24 000L of water? Give the answer in number of days as a mixed number. 1-Minute Questions 1.) A car uses 10L of gasoline in covering 85km. How many litres of gasoline will the same car use to cover 297.5km? 2.) In the sequence 4, 7, 10, …, 292, 295, 298, what is the position of the term 298? 3.) Norma invested P5 000.00 and P3 500.00 at 5% and 4.2% annual interest, respectively. How much money will she have at the end of one year? 4.) If the number of units in the circumference of a circle is the same as the number of square units in its area, what is the diameter of the circle? 5.) Robert can paint a room in 12 hours. His helper can do the same work in 24 hours. How long will it take them to paint the room together? 6.) One number is 5 more than 3 times another number. The sum of the two numbers is 157. Find the bigger number. 7.) A piece of soap is 10cm long, 4cm wide and 3cm thick. How many pieces can be packed in a box 6dm by 3dm by 2dm? 8.) How much will the square tiles for a rectangular floor 2.7m long and 2.1m wide cost if each tile is 15cm on a side and cost P25.00? Answer Key Team Oral Competition 15-Second Questions 1.) 196 2.) 3 127 3.) 5 and 18 4.) 0, 1, 2, 3 5.) 11 000 6.) 120 7.) 500 8.) 65% 9.) 26cm 10.) P140.00 11.) 999 000 12.) P1 210.00 30-Second Questions 1.) 75 2.) 2 001 3.) P1 140.00 4.) 68cm

5.) 40% 6.) 222.94cm 7.) 1 2/3 1-Minute Questions 1.) 35 2.) 99th 3.) P8 897.00 4.) 4 units 5.) 8 hours 6.) 119 7.) 300 8.) P6 300.00

15-Second Questions 1.) What is the next perfect square after 169? 2.) What is the product if the prime numbers between 50 and 60? 3.) Give two numbers whose product is 90 and whose difference is 13. 4.) What whole number values of k will make the sentence 2 – k > 8 true? 5.) What is the value of 104 + 103? 6.) If 1/3 of a number is 160, what is ¼ of the number? 7.) Fe withdraws P10 000.00 in 20-peso bills. How many bills did she receive? 8.) Fifty-two is what percent of 80? 9.) If one side of a regular octagon is 3.25cm, what is its perimeter? 10.) Bob has 8 times as much money as Tim. Together, they have P1 260.00. How much money does Tim have? 11.) What is 1 million minus 1 thousand? 12.) A family earns P24 200.00 a month. If they save 5% of it, how much do they save? 30-Second Questions 1.) Two numbers are in the ratio 4:5. If their sum is 135, what is the bigger number? 2.) What is the three times the product of the prime numbers between 20 and 30? 3.) Mike had P1 500.00. He bought a shirt for P325.00 and a pair of shoes. If he had only P35.00 left, how much did he pay for the shoes? 4.) A square is 8 ½ on each side. If three squares are placed side by side, what is the perimeter of the rectangle formed?

5.) The cost of an item is increased from P250.00 to P350.00. What is the percent increase? 6.) The radius of a bicycle wheel is 35.5cm. What is its circumference? [Use π ≈ 3.14] 7.) A water hose sprays water at the rate of 10 litres per minute. How long will it take to fill a swimming pool that holds 24 000L of water? Give the answer in number of days as a mixed number. 1-Minute Questions 1.) A car uses 10L of gasoline in covering 85km. How many litres of gasoline will the same car use to cover 297.5km? 2.) In the sequence 4, 7, 10, …, 292, 295, 298, what is the position of the term 298? 3.) Norma invested P5 000.00 and P3 500.00 at 5% and 4.2% annual interest, respectively. How much money will she have at the end of one year? 4.) If the number of units in the circumference of a circle is the same as the number of square units in its area, what is the diameter of the circle? 5.) Robert can paint a room in 12 hours. His helper can do the same work in 24 hours. How long will it take them to paint the room together? 6.) One number is 5 more than 3 times another number. The sum of the two numbers is 157. Find the bigger number. 7.) A piece of soap is 10cm long, 4cm wide and 3cm thick. How many pieces can be packed in a box 6dm by 3dm by 2dm? 8.) How much will the square tiles for a rectangular floor 2.7m long and 2.1m wide cost if each tile is 15cm on a side and cost P25.00? Answer Key Team Oral Competition 15-Second Questions 1.) 196 2.) 3 127 3.) 5 and 18 4.) 0, 1, 2, 3 5.) 11 000 6.) 120 7.) 500 8.) 65% 9.) 26cm 10.) P140.00 11.) 999 000 12.) P1 210.00 30-Second Questions 1.) 75 2.) 2 001 3.) P1 140.00 4.) 68cm

5.) 40% 6.) 222.94cm 7.) 1 2/3 1-Minute Questions 1.) 35 2.) 99th 3.) P8 897.00 4.) 4 units 5.) 8 hours 6.) 119 7.) 300 8.) P6 300.00

A. 15-second questions – 2 points each 1.) The diameter of a circular lot is 15 m. What is its radius in centimeter? Answer: 750 2.) Reduce the fractionto simplest form. Answer: 9/11 3.) A regular pentagon has a perimeter of 140 cm. How long is one side? Answer: 28 cm 4.) Express 32 as a sum of 2 prime numbers. Answer: 13 + 19, 3 + 29 5.) The sum of two numbers is 150.6. One number is twice the other. What is the bigger number? Answer: 100.4 6.) The sum of 44 and 25 is equal to 84 minus a certain number. What is that number? Answer: 15 7.) A rectangle has an area of 300 cm^2. If its length is 20 cm, what is its perimeter? Answer: 70 cm 8.) An angle is 42 degrees. What is its complement? Answer: 48 degrees 9.) What is n if 5n is equal to 252? Answer: 125

10.) How many multiples of 5 are there between 1 and 1,000? Answer: 199 11.) How many sq. centimeters is equal to one sq. meter? Answer: 10, 000 B. 30-second questions – 3 points each [Use π= 3.14] 1.) What is the product of 4,000 x 45,000 in scientific notation? Answer: 1.8 x 10^8 2.) If ¼ of a number is 144, what isof the number? Answer: 192 3.) Three-eighths of 40 roses are red,of the remaining roses are white and the rest are pink. How many are pink? Answer: 15 4.) A lady deposited P50-bills amounting to P30,000. How many paper bills did she give the teller? Answer: 600 5.) The radius of a circle is 2 dm. What is the area of a bigger circle whose radius is 3 times the first circle? Answer: 133.04 dm ^2 6.) Find 3 consecutive whole numbers whose sum is 138. Answer: 45, 46, 47 C. 1-minute questions – 5 points each 1.) A ring with a diameter of 2 dm has 3.5 cm added to its circumference to make it larger. What is its new diameter? Answer: 21.1 cm 2.) The dimensions of a 16 cm by 24 cm picture are enlarged by 20%. What is the area of the enlarged picture? Answer: 552.96 cm^2 3.) Mr. Santos had P4,000 in his bank but owed somebody P7,500. After making a deposit and writing a check to pay his debt, his bank account amounted to only P900. How much money did he deposit?

Answer: P 4, 400 4.) A child glued together 42 cubes with 1 inch edges to make a solid rectangular brick. If the perimeter of the base is 18 inches, find the height of the brick in inches. Answer: 3 5.) Find two numbers whose sum is 53 and whose difference is 15. Answer: 19, 34 6.) The cost of a book increased from P180 to P200. By how many percent to the nearest whole percent did the price increase? Answer: 11 Clincher questions 1.) By how much does of 48 exceed of 25? Answer: 22 2.) If apples cost 4 for P35 and oranges cost 4 for P42, how much will a dozen apples and a dozen oranges cost? Answer: P 231 3.) A whole number divisible by 6 is greater than 170 but less than 210. what is the largest number that satisfies both conditions? Answer: 204 Do-Or-Die questions 1.) The average grade of Lilia and Rose is 88, the average grade of Lilia and Kate is 87 and the average grade of Rose and Kate is 86.Find the grade of each girl. Answer: Lilia – 89, Rose – 87, Kate – 85 To those who are reviewing for the MTAP-Metrobank-DepEd Math Challenge, here are some sample questions with answers. 1.) What is 1/5 added to 1/2? 2.) A P650 t-shirt is marked 20% discount. How much will you have to pay for the t-shirt? 3.) The circumference of a circle is

. What is its area?

4.) One number is twice the other. Their sum is 87. What are the numbers? 5.) The ratio of boys to girls in a class is 3:4. There are 42 students in the class. How many are boys?

6.) Karen is twice as old as Anna. The difference between their ages is 12. How old is Karen? 7.) Jenny bought a cake for her daughter’s birthday. The family ate 1/3 of the cake and gave 1/4 to their neighbor. What portion of the cake was left? 8.) The sum of two numbers is 56 and their difference is 14. What are the numbers? 9.) What must be subtracted from 3/2 to get 1/3?

10.) If the smallest square in the grid below is 1 square cm, what is the area of the shaded triangle?

Answers: (1) 7/10, (2) 520, (3)

, (4) 29 and 58,(5) 18

(6) 24, (7) 5/12 (8) 35 and 21 (9) 7/6 or 1 and 1/6 (10) 3.5 sq. cm.

This is the second set of Grade 6 reviewers for the MTAP Math challenge. 1.) What is the greatest common factor of 3 and 10? 2.) The sum of two numbers is 26, their difference is 12. What are the numbers? 3.) A large cube is formed using smaller cubes as shown below. In the figure, how many cubes cannot be seen?

4.) Bimbo is twice as old as Miko. The sum of their ages is 54. How old is Miko? 5.) In a telephone poll, 24 persons said that they like to jog on a Sunday morning and 18 persons said that they prefer to stay late in bed. What is the ratio of the number of persons who like to jog in the morning to the the total number of persons in the poll? 6.) What percent of 50 is 23? 7.) A bag is with price tag 840 is marked 15% discount. What is the discounted price? 8.) What is the equivalent of 3/8 in percent? 9.) The average of 6 digit numbers is 70. If 75 which is one of the numbers is subtracted from the sum of those 6 numbers, what is the average of the remaining 5? 10.) Two circles are inscribed in a rectangle. If the radius of the circle is 3 cm, what is the area inside the rectangle not occupied by the circles? Use 11.) The sum of two numbers is 12 and their product is 32. What are the numbers? 12.) What is of ? Problem of the Week: The number 25ab where a and b are digits is divisible by 6. What is the largest possible value of a + b? Answers 1. 1 2. 19 and 7 3. 8 cubes 4. 18 years old 5. 4:7 6. 46% 7. 714 8. 37.5% 9. 69 10. 15.48 sq. cm. 11. 8 and 4 12. 3/8

Grade 6 MTAP Reviewer Set 3 1.) The time elapsed between 12:15 PM and 1:30 PM of the same day is ____ hours and ____ minutes. 2.) Arrange the following decimals from smallest to largest: 4.87, 7.84, 4.78, 7.48. 3.) Write the ratio of X to O in below. XXOXOOX 4.) How many prime numbers are there between 10 and 20? 5.) Which of the following shapes is a heptagon?

6.) Aubrey bought 3 notebooks and 2 pencils. Each notebook costs P12.50 and each pen costs 6.50. How much did Aubrey spend all in all? 7.) What is the greatest common factor of 24 and 36? 8.) What is the value of 9.) What is

?

10.) What is the value of N in the equation

?

11.) The sum of two consecutive numbers is 89. What are the numbers? 12.) Which of the following numbers is not divisible by 3? 651, 876, 784 Answers 1. 1 hour and 15 minutes 2. 4.78, 4.87, 7.48, 7.84

3. 4:3 4. four (11, 13, 17, 19) 5. c 6. Php50.50 7. 12 8. 32 9. 14 (MDAS Rule: perform division before addition) 10. 16.8 11. 44 and 45 12. 784

This is the fourth set of the MTAP Math reviewer for 6th Grade. 1.) Jenny, May, and Coney love to plant roses. Jenny has 15 vases of roses. May has four more vases than Jenny. Coney has 6 vases fewer than May. How many rose vases does Coney have? 2.) What is

?

3.) What is the sum of 1/4 and 1/5? 4.) The product of 5 and N is negative number. What must be the value of N? a. greater than 0 b. less than 0 c. equal to 0 5.) John created the spinner below. Suppose he spins 100 ties, how many times will likely point to blue?

6.) Leo jogs 18 kilometers in a week. He does not jog on Sundays. On the average, how many kilometers does he jog each day? 7.) Which of the following numbers is the least?

0.6, 2/3, 1/8, 0.12 8.) Find the missing number in the proportion 2:5 = 8:__? 9.) What is the value of n in the equation

?

10.) How many seconds are there in half an hour, two minutes, and 3 seconds? 11.) What is the largest digit that can be placed in the digit n in the inequality 0.83n 0 b. n < 0 c. n = 0 3.) One fifth of a number added to one fourth of the same number is equal to 18. What is the number? 4.) What is the value of 5.) What is

?

?

6.) What is the sum of the smallest and largest numbers in the following set?

7.) Allan is twice as old as Anna. In 5 years, the sum of their ages will be 43. How old is Allan? 8.) What is 12.5% in fractions? 9.) Anne got scores of 85, 82, 91, and x in four tests. If Anne’s average is 87, what is the value of x? 10.) The ratio of the number of girls to the number of boys in Class Masipag is 4:5. If the total number of student is 45, how many are girls? 11.) The number 5A2 is divisible by 6. Which is not a possible value of A? 2, 5, 8, 3 12.) What is the value of x in 7x – 8 = 5x?

Answers 1. Commutative property 2. b 3. 40 4. 48 5. 6. 0.935 7. 22 8. 1/8 9. 90 10. 20 11. 3 12. 2

This is the seventh set of the MTAP Reviewer for Grade 6. 1.) Write in the blank below. 0.78 ____ 0.780 2.) Which of the following numbers has the smallest value?

3.) One number is twice another number. Their sum is 48. What are the numbers? 4.) Write the expression in exponent form. 5.) What is the largest 2-digit prime number? 6.) What is the distance between two points (6,4) and (12,4)? 7.) Sam scored 87, 92, and 83 in three tests. What is his mean score? 8.) The diagonal of a square is 6cm. Find the area of the square that is twice its size. 9.) One pair of opposite sides of a quadrilateral are parallel. The other pair is not parallel. What is the name of the quadrilateral? 10.) What whole number is the best estimate for the square root of 90? 11.) Simplify: 12.) Evaluate:

. Answer Key 1.) = 2.) 1/2 3.) 16 and 32 4.) 5.) 97 6.) 6 units 7.) 87.3 8.) 36 sq. cm. 9.) trapezoid/trapezium 10.) 9 11.) 6x + 3 12.) 3/5

This is the eighth set for the Grade 6 MTAP Reviewer.

1.) Two hundred teachers attended a mathematics conference. The ratio of male to female is 2:3. How many male teachers attended the conference? 2.) Mang Ambo bought a box of cookies at Php80 and sold it Php100. What percent is the is profit? 3.) The sum of two consecutive numbers is 87. What are the numbers? 4.) Twice a number added to 13 is equal to 27. What is the number? 5.) What is one half of one fourth of 64? 6.) The perimeter of a rectangle is 26cm. Its width is 5cm. What is its length? 7.) What is the value of

in

?

8.) Maia is twice as old as Naia. In three years, the sum of their ages will be 21. How old are both of them? 9.) Which of the following fractions is the largest 8/11, 9/12, 10/15? 10.) What is 4 ½ divided by ¾? Answers 1.) 80 male teachers 2.) 25% 3.) 43 and 44 4.) 7 5.) 8 6.) 8 cm. 7.) 48 8.) Maia is 10, Naia is 5. 9.) 9/12 10.) 6 This is the 9th set of the MTAP Reviewer for Grade 6. 1. Yana bought 20 blouses for Php300 each. He sold 10 blouses at a 20% profit and the remaining at a 10% profit. How much was her profit after selling all the t-shirts? 2. What is the sum of 1 – 2 + 3 – 4 + 5 – 6 + 7 – 8 + 9? 3. Amy baked a cake and gave ½ to her children. He gave 1/3 of the remaining cake to her neighbors. What fraction of the cake was left? 4. Karen started studying at 7:45pm last night. She said that she studied for 2 hours and 30 minutes with a 15-minute snack break. What time did she finish studying? 5. The volume of a cube is 125 cubic centimeter. What is its surface area? 6. The sum of two numbers is 51. One is twice the other. What are the numbers? 7. Approximately how many centimeters are there in 1 inch?

8. If you toss coin a hundred times which was manufactured correctly, what is the best estimate that it will turn up to be head? 9. What is the next number in the pattern? 8, 10, 20, 22, 44, 46, 92, … 1. If March 8 is a Tuesday, what day is April 8 of the same year?

QUESTIONS WITH SOLUTIONS Solutions and Answers 1. Ten shirts at 300 each is Php3000.00. Now, 20% of 3000 is 600 and 10% of 3000 is 300. 600 + 300 = 900. Therefore, her profit after selling all the blouses is Php900.00. Answer: Php900 2. 5 3. She gave ½ to her children so only ½ of the cake remained. Now, she gave 1/3 of ½ remaining cake to her neighbors, so the remaining cake is 2/3 of ½ which is equal to 1/3. Answer: 1/3 4. She only studied for 2 hours and 15 minutes. If we add 2 hours to 7:45, she will finish by 9:45. If we add another 15 minutes, this gives us 10:00pm. Answer: 10 pm. 5. Surface area of a cube is 6s2 where s is the side length. The side length of a cube with volume 125 cubic centimeter is 5 centimeter. Substituting, 6(s)2 = 6(52) = 6(25) = 150. Answer: 150 sq. cm. 6. If one number is twice the other, then their sum is divisible by 3. Now, 51/3 = 17. So, the numbers are 17 and 34. 7. 2.54cm 8. 50 9. A. The pattern is an alternating plus 2 and times 2.

10. If March 8 is a Tuesday, then March 15, 22, and 29 are also Tuesdays (you add by 7 to the dates and you get the same day). So, 30 is a Wednesday and 31 is a Thursday (March has 31 days!). Next, April 1 is a Friday, therefore, April 1+7 = 8 is also a Friday.

Below are sample Grade 6 MTAP reviewers to those who want to join the Metrobank MTAP-DepEd Math challenge. Many of the questions here are patterned from actual MTAP questions. 1. What is the remainder of 32, 486 divided by 11? 2.

I am thinking of a number. If I add 52 and subtract 33, I get 27. What is the number?

3.

What is the reciprocal of 0.3?

4. What is the next number in the series 2, 5, 9, 14, 20, 27? 5. The area of a square is 625 square meters. What is its perimeter? 6. A book which costs 850 is sold for a 15% discount. How much is the book’s discounted price?

7.

What is the difference between the largest and the smallest numbers that can be formed from 8, 2, 3, and 5?

8. What is the greatest common factor of 240 and 270? 9. A two liter of water was filled into a cubical container whose inner edge length is 15 cm. How much more water is needed to fill the container? 10. Calculate:

.

11. After a discount, a T-shirt was sold for 70% for its original price. Anna bought the shirt for Php595.00. How much is the original price. 12. The number 84958ab where a and b are digits is divisible by 4. Find the maximum value of a + b. Answer key: (1) 3 (2) 8 (3) 10/3 or (4) 35 (5) 100 meters (6) Php722.50 (7) 6174 (8) 30 (9) 2375 cubic centimeter (10)55 (11) 850 (12) 16, a = 8, b = 8

Below is the second set of MTAP reviewers for Grade 4 students, Grade 5 and Grade 6 students and possibly Grade 7 students. Good luck! 1.) Jim draw a triangle with one angle measuring 90 degrees. What could be the measures of the other two angles? 2.) What is 0.7 written as a fraction? 3.) What is the prime factorization of 36? 4.) Jasmine types 26 words per minute. At this rate, how many words can she type in 8.5 minutes? 5.) What is the product of 36.5 and 0.8? 6.) Write the following numbers in increasing order. 0.8, 0.25, 1.2, 0.04 7.) Amy’s house is 5/8 of a kilometer from school. Bryan’s house is 1/2 kilometers away from school. If Bryan’s house is between Amy’s house and the school, how far is Amy’s house from Bryan’s house? (Problem of the Week 2, solution) 8.) What is the mixed form of

?

9.) In a school with a population of 2300 students, 58% are girls. How many boys are there in the school?

10.) If the area of the larger square is 18 square centimeters, what is the area of the black

square? 11.) If , what is 12.) What is the value of w that makes the equation below true? ?

?

Answers answers vary as long as they add up to 90. e.g. 20 and 70. or 221 29.2 0.04, 0.25, 0.8. 1.2 1/8 of a kilometer 966 9 square centimeters 61 42

TRY THIS EASY QUESTIONS BE MASTERED BY YOUR KIDS

1.) What is MDLXVII in Hindu Arabic numeral? 2.) How many sides does a nonagon have? 3.) What is 34.56 multiplied by 10? 4.) A triangle with three equal sides is called _____ triangle 5.) Fill in the blanks: ___ x 14 = 252 6.) What is the sum of all the interior angles of a 5-sided polygon? 7.) The smallest square in the grid below measures 4 square units. What is the perimeter of the blue rectangle?

8.) What is the area of the blue triangle above? 9.) Kerry is twice as old as Mel. The sum of their ages is 33. How old is Mel? 10.) If the day before yesterday is Wednesday, what day is the day after tomorrow? 11.) Which of the following numbers is divisible by 3? a.) 875, 234 b.) 923, 405 c.) 268, 816 d.) 645, 129 12.) Arrange the following numbers in decreasing order: 3.245, 3.542, 3.452, 3.254. Answer. 1. 1567 2. 9 3. 345.6 4. equilateral 5. 18 6. 540 7. 32 units 8. 60 square units 9. 11 10. Sunday 11. d 12. 3.542, 3.452, 3.254, 3.245

This is the fourth of the Grade 6 MTAP reviewer. 1.) What is 3785 rounded to the nearest thousand? 2.) In a wholesale store, one apple costs Php15.50 if you buy 50 apples ore more. How much will 75 apples cost? 3.) Fill in the blank with >, =, or 4. 10 5. 0.8 6. 137/1000 7. 2 × 3 × 3 or (2 × 3 squared) 8. 1/6, 1/3, 4/6, 5/6 (note that 1/3 is equal to 2/6) 9. 3 10. 2 primes (23, 29) 11. 5 days, 20 hours 12. 10:45

This is the fifth set of the Grade 6 MTAP Reviewer. 1.) Arrange the following integers from least to greatest. 8, 3, -4, – 10, 0 2.) What is a polygon whose four sides have the same length but not all its interior angles are 90 degrees. 3.) What is the greatest common factor of 12 and 18? 4.) Which of the following fractions is greater than 1/2? ,

,

5.) Which of the following fractions is not equivalent to ? ,

,

6.) What is the least common denominator of and ?

7.) What must be added to

to get 6?

8.) Which makes this sentence true? 8 < 2 + __ a. 5 b. 6 c. 7

9.) What number goes into the blank? 1, 3, __, 27, 81, 243 10.) If the mean of the data below is 14, what is the value of n? 16, 12, 14, 17, n 11.) What is the value of Q?

12.) The area of a square is 64 square meters. What is its perimeter? Answers 1. -10, -4, 0, 3, 8 2. rhombus 3. 6 4. 8/15 5. 11/13 6. 12 7. 8. c 9. 9 10. 13 11. 10 12. 32

Below is the sixth set of the MTAP Reviewer of Grade 6. 1.) 600,000 = ___ ten thousands 2.) What type of triangle has side lengths 19, 22, and 19 units? 3.) Which of the following numbers is divisible by 3? 6517, 7843, 2176, 8916 4.) What is the prime factorization of 18? 5.) The smallest square below has side 1 unit. What is the perimeter of the rectangle below?

6.) What is the area of rectangle above if the side length of the smallest square is 2 cm? 7.) 160 hours = __ days __ hours 8.) What is of 20 plus of 20? 9.) What is exactly 3 hours before 1 pm? 10.) Camilla saves 300 every month from her allowance from January to November. In December, she saved 1600 due to Christmas presents. How much was all his savings for 1 year? 11.) What is the next term in the pattern?

,

,

,

12.) The sum of two numbers is 28 and their difference is 16. What are the numbers? Answers 1. 60 2. isosceles 3. 8916 4. 2 × 3 × 3 5. 18 units 6. 72 square cm. 7. 6 days, 16 hours 8. 9 9. 10 am 10. Php 2900 11. 12. 22 and 6

Below is the sixth set of the MTAP Reviewer of Grade 6. 1.) 600,000 = ___ ten thousands 2.) What type of triangle has side lengths 19, 22, and 19 units? 3.) Which of the following numbers is divisible by 3? 6517, 7843, 2176, 8916 4.) What is the prime factorization of 18? 5.) The smallest square below has side 1 unit. What is the perimeter of the rectangle below?

6.) What is the area of rectangle above if the side length of the smallest square is 2 cm? 7.) 160 hours = __ days __ hours 8.) What is of 20 plus of 20? 9.) What is exactly 3 hours before 1 pm? 10.) Camilla saves 300 every month from her allowance from January to November. In December, she saved 1600 due to Christmas presents. How much was all his savings for 1 year? 11.) What is the next term in the pattern?

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12.) The sum of two numbers is 28 and their difference is 16. What are the numbers?

Answers 1. 60 2. isosceles 3. 8916 4. 2 × 3 × 3 5. 18 units 6. 72 square cm. 7. 6 days, 16 hours 8. 9 9. 10 am 10. Php 2900 11. 12. 22 and 6

This is the 7th set of the MTAP Reviewer for Grade 6. 1.) When a number is divided by 5, its quotient is 12 and its remainder is 3. What is the number? 2.) If January 30 is Monday, what day will be February 1? 3.) What is the value of (12 × 4) – (5 × 5)? 4.) The perimeter of an isosceles triangle is less than is less than 40 cm. Two of its sides are 17 cm and 8cm. What is the length of the third side? 5.) What is 875 ÷ 100? 6.) The smallest grid in the figure below is 1 cm. What is the perimeter of the figure?

7.) The volume of a figure is 64 cm. Its length and width are both 4 cm. What is the figure? 8.) Jimmy works part-time waiter in restaurant for four hours a day from Monday to Friday and receives his salary weekly. This week he was absent on Monday. If he is paid Php50 an hour, how much is this salary this week?

9.) A __ is a shape with 4 equal sides and equal angles. 10.) What is the value of MMDCLXXII? 11.) If 50 – 12 – n = 21, what is n? 12.) What is

as an improper fraction?

Answer 1.) 63 2.) Wednesday. January has 31 days. 3.) 23 4.) 8 cm 5.) 8.75 6.) 14 cm. 7.) cube 8.) Php800.00 9.) square 10.) 2672 11.) 17 12.) 19/3 This is the eight set of the MTAP Reviewer for Grade 6. 1.) The smallest number that gives a remainder of 4 when divided by 3, 4, or 5. 2.) How many 10,000 are there in 1 million? 3.) What is the largest integer less than 17/3? 4.) The operation a#b means 2× a + 3× b. What is 4#5? 5.) How many centimeters are there in 12.5 meters? 6.) If the ratio of two numbers is 5:8. If the smaller number is 35, what is the larger number? 7.) In a 50-item test, Carrie answered 4/5 correctly, Jamie answered 7/10, and Ralph answered 17/25 correctly. Who got the highest score? 8.) A garden is 12.4m wide and 18.5 meters long. What is its perimeter?

9.) Three apples cost 35 pesos and three oranges cost 25 pesos. Benny bought 1 dozen of each fruit. How much did he spend in all? 10.) What is the least common multiple of 12 and 36? Answers 1.) 64 2.) 100 3.) 5 4.) 23 5.) 1250 cm 6.) 56 7.) Carrie 8.) 61.8 meters 9.) 240 pesos 10.) 36 Below is the 9th set of MTAP Reviewer for Grade 6. 1.) The sum of two numbers is 20. Their difference is 10. What are the two numbers? 2.) What is the next number in the pattern 12, 13, 16, 21, 28, ___ 3.) The volume of a cube is 27 cubic centimeters. What is its surface area? 4.) What is the sum of 2.85 + 1.5 + 4.002? 5.) The length of a rectangle is 3 more than its width. Its perimeter is 62 cm. What its width? 6.) What is 11+ 22 + 33? 7.) What is 7 1/5 – 3/5? 8.) What is 1/4 of 8 added to ¾ of 16? 9.) If March 14 is a Friday, what day is March 31 of the same year? 10.) The sum of three consecutive numbers is 63. What are the three numbers?

Answers 1.) 15 and 5. 2.) 37 3.) 54 sq. cm. 4.) 8.352 5.) 14 6.) 32 7.) 6 3/5 8.) 14 9.) March 14 is a Friday, so March 21 and 28 are also Friday. Now, March 29 is a Saturday, March 30 is a Sunday, March 31 is a Monday. 10.) 20, 21, and 22. ----------->>> VERY IMPORTANT QUESTIONS FOR MTAP CHALLENGE

Part I 1.) What is the least common multiple of 90 and 126? 2.) A worker can assemble a toy boat in 6 hours. A machine can reduce the time in the ratio 3:10. How long will the machine take to assemble the toy boat? 3.) A square has a side of 8cm. A second square has a side of 12cm. What is the ratio of their areas? 4.) On a boat, 16% of the passengers travel first class and 56% travel third class. If 238 travel second class, how many passengers are in the boat? 5.) How many bags of cement will you buy to pave a path 28m long and 2.5m wide if a bag of cement can cover 12m^2? 6.) A store employs 2 men and 5 women. Each man is paid 1 ½ times that of a woman. If each day the store owner pays P2 400.00, how much does each man receive? 7.) A weighs 60kg. B weighs 25% less than C. If C weighs 20% less than A, what is the weight of B? 8.) How many pieces of string 3.6dm long can be cut from a roll 66m long? 9.) A room is 6m long, 4.5m wide and 3m high. The ceiling and 4 walls are to be painted. If the door and windows have a combined area of 14m^2, what area is to be painted?

10.) Lyn can paste in her album 4, 5 or 6 pictures, with 2 pictures left-over in each case. What is the smallest number of pictures that Lyn has? 11.) A pair of shoes was sold for P747.50 with a gain of 15%. What was the cost price of the shoes? 12.) A vendor bought 80 pineapples at P28.50 each. Three pineapples went bad but the vendor was able to sell the rest at P25.00 each. Find his percent loss to the nearest whole number. 13.) Nine small squares are put together to form a bigger square. If the perimeter of the big square is 72cm, what is the area of each small square? 14.) A piece of metal 84.7cm^3 is put into a cylindrical container of radius 3cm containing water to a depth of 30cm. What is the resulting depth of the water to the nearest whole number? 15.) Ninety litres of gasoline can be used by a machine to work at 8 hours a day for 3 days. With 270 litres of gasoline, how many hours a day can the same machine be made work for 6 days? Part II 1.) Counting numbers like 1, 2, 3, 4 and so on are called consecutive numbers. The average of 11 consecutive numbers is 15. What is the sum of the last three numbers? 2.) One hundred fifty soldiers on a camp had enough food for 40 days. After 6 days, 20 more soldiers joined them. For how long will remaining food last? 3.) OABC is quarter of circle with a radius of 9cm. What is the area of the shaded region? (Use π ≈ 3.14)

4.) If the edge of a cube is increased from 6cm to 9cm, what is the ratio of the new volume of the cube to its original volume? 5.) A pipe has a diameter of 2.0cm. It is replaced by a new pipe whose circumference is 1cm longer than the circumference of the first pipe. What is the diameter of the new pipe to the nearest tenth of a centimetre? Part III 1.) There were apples in a box intended for 6 persons. One-third, one-fourth, one-fifth and one-eighth of the apples were given to the four of the persons in the group. If 10 apples were given to the fifth and 1 apple to the sixth, how many apples were originally in the box?

2.) John agreed to work after school for 8 weeks for a fixed weekly rate. For this work, John agreed to receive P850.00 and a bag. After 5 weeks, John got sick. He was given P250.00 and a bag. How much the bag worth? 3.) In an ancient village, 10 rabbits can be exchanged for 2 turkeys, 6 turkeys can be exchanged for 2 goats, 10 goats can be exchanged for 2 cows. How many rabbits can be exchanged for 5 cows? Answer Key Part I 1.) 630 2.) 1.8 hours 3.) 4:9 4.) 850 5.) 6 bags 6.) P450.00 7.) 36kg 8.) 183 9.) C = 27; w1 = 27; w2 = 36 90 – 14 = 76m^2 10.) 62 pictures 11.) P650.00 12.) 15.6% loss or 16% loss 13.) 36cm^2 14.) 33cm 15.) 12 hours Part II 1.) Average = 15 Sum = 165 Middle = 15 18 + 19 + 20 = 57 2.) 30 days 3.) $latex 81 \dfrac {\pi}{4} – \dfrac {81}{2}$ cm^2 = 23.085cm^2 4.) 27:8 5.) 2.3cm Part III 1.) 120. 2.) P750.00 3.) 375 rabbits ------------------>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

QUESTIONS WITH CORRECT ANSWERS TO MASTER 15-second questions – 2 points each 1.) 17 more than the sum of 33 and 19 is equal to what number? Answer: 69 2.) If 3.05 x 76.9 = 234.545, what is 30.5 x 0.769? Answer: 23.4545 3.) What digit(s) placed in the blank in 377_4 will make it divisible by 12? Answer: 0, 6 4.) What is the sum of the largest prime less than 100 and the smallest prime greater than 100? Answer: 198 5.) If ¾ of the area of a rectangle is 84 cm2, what is the whole area? Answer: 112 sq.cm. 6.) If 6 men can finish a job in 8 days, how long will 4 men finish the same job if they work at the same rate? Answer: 12 days 7.) Rita can put her pictures 4, 5 or 6 to a page in her album, with 2 pictures left over in each case. What is the smallest number of pictures for this to happen? Answer: 62 8.) A 15 cm by 10 cm picture was enlarged so that its dimensions increased by 20%. What is the area of the enlarged picture? Answer: 216 cm^2 9.) The vertex angle of an isosceles triangle is 9o more than a base angle. What is the vertex angle? Answer: 66 degrees 10.) What is the largest 5-digit number which rounds to 27,000 to the nearest thousand? Answer: 27, 499 11.) The perimeter of a square is 186 cm. How long is one side? Answer: 46.5 cm

30-second questions – 3 points each 1.) Five consecutive whole numbers have a sum of 225. What is the largest number? Answer: 47 2.) A piece of plastic sheet is 4 m by 3.2 m. What is the smallest number of equal squares into which it can be cut? Answer: 20 (note: this question has a problem because it did not specify the unit of the small square) 3.) How many ribbons, each 17/8dm long can be cut from a roll 3 m long? Answer: 16 4.) What is the smallest number by which you can multiply 2520 to make it a perfect square? Answer: 70 5.) Find the product of the prime numbers immediately before and after 30. Answer: 899 6.) Two numbers are in the ratio 5:8. If the difference is 36, what is the larger of the two numbers? Answer: 96 1-minute questions – 5 points each 1.) One cube has an edge of 9 cm. A second cube has an edge2/3that of the first cube. What is the ratio of the volume of the first cube to that of the second cube? Answer: 27:8 2.) A bunch of new 50-peso bills are consecutively numbered A23486 to A23500. What is the total peso value of the bills? Answer: P 750 3.) A train travels 60 km in ¾ hour. If it maintains the same average speed, how far will it travel in 2 ½ hours? Answer: 200 km 4.) Nine small squares are put together to form a bigger square. If the perimeter of the big square is 192 cm, what is the area of each small square? Answer: 256 cm^2

5.) Today, March 10, is Friday. What day is it 100 days from today? Answer: Sunday 6.) A piece of rope 75 m long is cut into three pieces in the ratio 4:5:6. How long is the longest piece? Answer: 30 m Clincher questions 1.) What is the 20th odd counting number? Answer: 39 2.) To what exponent should 2 be raised to give a value of 512? Answer: 9 3.) How many multiples of 12 are there between 200 and 290? Answer: 8 Do-Or-Die questions 1.) How many digits are printed by a printer that prints all the whole numbers from 1 to 728 inclusive? Answer: 2076

MTAP – DEPED MATH CHALLENGE 2018 GOODLUCK PARTICIPANTS!