Practice Test Paper-1_IJSO

January 1, 2017 | Author: Sonal Gupta | Category: N/A
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IJSO(STAGE-I) PRACTICE TEST PAPER-1

Time : 1½ Hr.

Max. Marks : 120

GENERAL INSTRUCTIONS 1.

In addition to this question paper, you are given a separate answer sheet.

2.

Fill up all the entries carefully in the space provided on the OMR sheet ONLY IN BLOCK CAPITALS. Incomplete/incorrect/carelessly filled information may disqualify your candidature.

3.

A student has to write his/her answers in the OMR sheet by darkening the appropriate bubble with the help of HB Pencil as the correct answer(s) of the question attempted.

4.

Paper carries 40 questions. 10 question from Mathematics (1–10), 10 question from Physics(11-20), 10 question from Chemistry (21–30) & 10 question from Biology (31–40) each of 3 (three) marks.

5.

Any rough work should be done only on the blank space provided at the end of question paper.

6.

For each correct answer gets 3 marks, each wrong answer gets a penalty of 1 mark.

7.

Blank papers, clip boards, log tables, slide rule, mobiles or any other electronic gadgets in any form is "NOT PERMISSIBLE".

8.

Use of nonprogrammable calculator is allowed.

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PRACTICE TEST PAPER-1 (IJSO) 1.

The number of isossceles triangles with integer sides such that no side is greater than 4 units is : (A) 8

2.

3.

(B) 9

tan2  sec2  (cot2  – cos2 ) = (A) 0 (B) – 1

(C) 16

(D) 12

(C) 1

(D) 2

E is the midpoint of diagonal BD of a parallelogram ABCD. If the point E is joined to a point F on DA such that DF =

(A) 1 : 3

1 DA, then the ratio of the area of DEF to the area of quadrilateral ABEF is : 3

(B) 1: 4

(C) 1 : 5

(D) 2 : 5

4.

In ABC, BC = 20 , medians BE = 18 and median CF = 24 (E, F are midpoints of AC, AB respectively). Find the area of ABC. (A) 244 sq. units (B) 288 sq. units (C) 144 sq. units (D) none of these

5.

If a (b2 – c2) + b (c2 – a2) + c (a2 – b2) = N (a – b) (b – c) (c – a) become an identify, then N equal to (A) 1 (B) 2 (C) – 1 (D) –2

6.

If the height of a right circular cylinder is increased by 10%, while the radius of its base is decreased by 10%, then the curved surface area of the cylinder (A) remains the same (B) decreases by 1% (C) increases by 1% (D) increases by 0.1%

7.

A sphere is inscribed in a cone of radius . 3 3 and slant height 6 3 . The radius of the sphere, is :

(A) 0

(B) 3 3

(C) 6 3

(D) none of these

Space for rough work

IJSO_ STAGE-I _PRACTICE TEST PAPER-1_PAGE #1

8.

Through a point on the hypotenuse of a right triangle, lines are drawn parallel to the legs of the triangle so that the triangle is divided into a square and two smaller right triangles. The area of one of the two small right triangles is m times the area of the square. The ratio of the area of the other small right triangle to the area of the square is (A)

9.

1 4m

(B)

1 2m  1

(C) m

(D)

1 8m 2

A circle with area A1 is contained in the interior of a large circle with area A1 + A2. If the radius of the larger circle is 3 and A1, A2, A1 + A2 are in AP, then the radius of the smaller circle is (A)

3 2

2 (B) 1

(C)

(D)

3

3

10.

If roots of the equation x2 – 10ax – 11b = 0 are c and d and those of x2 – 10cx – 11d = 0 are a and b, then find the value of a + b + c + d. (where a, b, c, d are all distinct numbers) (A) 1000 (B) 1200 (C) 1210 (D) 1250

11.

A particle moves on x axis according to equal x = t2 + 2t + 1 [ x 8t are in S.I. units]. Its displacement in t = 0 to t = 1 sec. is : (A) 4 m (B) 2 m (C) 3 m (D) 1 m

12.

Impossible graph in the case of a particle in one dimensional motion is :

(A)

(B)

(C)

(D)

Space for rough work

IJSO_ STAGE-I _PRACTICE TEST PAPER-1_PAGE #2

13.

Particles are projected from the top of a tower with same speed at different angles as shown. Which of the following are True ?

(A) All the particles would strike the ground with (same) speed. (B) All the particles would strike the ground with (same) speed simultaneously. (C) Particle 1 will be the first to strike the ground. (D) (A) & (C) are correct 14.

An object is thrown horizontally from a point ‘A’ from a tower and hits the ground 3s later at B. The line from ‘A’ to ‘B’ makes an angle of 30° with the horizontal. The initial velocity of the object is: (Take g = 10 m/s2):

(A) 15 3 m/s

(B) 15 m/s

(C) 10

3 m/s

(D) 25/ 3 m/s

15.

A fully loaded elevator has a mass of 6000 kg. The tension in the cable as the elevator is accelerated downward with an acceleration of 2ms–2 is (Take g = I0 ms–2) (A) 7·2 × 104 N (B) 4.8 × 104 N (C) 6 × 104 N (D) 1.2 × 104 N

16.

A body of mass M is dropped from a height h on a sand floor. If the body penetrates x cm into the sand, the average resistance offered by the sand to the body is : h (A) Mg   x

h  (B) Mg 1   x 

(C) Mgh + Mgx

h  (D) Mg 1 –  x 

Space for rough work

IJSO_ STAGE-I _PRACTICE TEST PAPER-1_PAGE #3

17.

The radius of curvature of the convex surface of a plano-convex lens is 10 cm. What is the focal length of the plano-convex lens ? (Here  = 1.5) (A) 10 cm

(B) 20 cm

(C) 15 cm

(D) 5 cm

18.

Two identical heater wires are first connected in series and then in parallel with a source of electricity. The ratio of heat produced in the two cases is : (A) 2 : 1 (B) 1 : 2 (C) 4 : 1 (D) 1 : 4

19.

In a transformer the output current and voltage are 4 A and 20 V respectively. If the ratio of number of turns in the primary and secondary coil is 2 : 1 respectively, what is the input current and voltage ? (A) 2 A and 40 V (B) 1 A and 20 V (C) 4 A and 10 V (D) 8 A and 40 V

20.

Starting from rest, a particle moves along a circle of radius 2 m with an angular acceleration of ( / 4) rad s –2. During the time the particle covers a quarter of the circle, the magnitude of average velocity is: (A) 1.50 m/s (B) 2,00 m/s (C) 1..00 m/s (D) 1.25 m/s

21.

A mixture of iron filings and sulphur powder can be separated by using -

22.

(A) A solution of carbon di sulphide.

(B) Handpicking.

(C) Seiving.

(D) Distillation.

The condition required for separating the components of a mixture of two or more miscible liquids by fractional distillation is (A) their boiling points should differ by 298 K. (B) their boiling points should differ by 25ºC. (C) their boiling points should both (A) and (B) (D) the boiling point of one of the component should be 373 K.

23.

The number of molecules of Sulphur (S8) present in 16 gm of solid sulphur is (A) 1.022 x 1022

24.

(B) 3.011 x 1022

(C) 3.76 x 1022

(D) 6.023 x 1023

The colour of the solution when sulphuric acid is added to the mixture of iron filings and sulphur is (A) green colour.

(B) yellow colour.

(C) blue colour.

(D) black colour.

Space for rough work

IJSO_ STAGE-I _PRACTICE TEST PAPER-1_PAGE #4

25.

4.4 g of CO2 and 2.24 litre of H2 at STP are mixed in a container. The total number of molecules present in the container will be -

(A) 6.022 × 1023 26.

28.

(C) 2 mole

(D) 6.023 × 1024

(B) lithium.

(C) sodium.

(D) aluminium

The lightest metal is (A) hydrogen.

27.

(B) 1.2044 × 1023

The following that are stored in water and kerosene respectively are (A) mercury and potassium.

(B) potassium and mercury.

(C) phosphorous and sodium.

(D) sodium and phosphorous.

The cap of the matchstick contains (A) antimony trisulphide, potassium chlorate and white phosphorus. (B) antimony trisulphide, potassium chlorate and red phosphorous. (C) antimony pentasulphide, potassium chlorate and white phosphorus. (D) antimony pentasulphide, potassium chlorate and red phosphorus.

29.

30.

The dark colour of the innermost zone of candle flame is due to (A) no combustion.

(B) complete combustion.

(C) incomplete combustion.

(D) maximum combustion.

Isotope of the element that is used in the treatment of cancer is (A) iodine.

(B) uranium.

(C) cobalt.

(D) carbon.

31.

Bundle of His is a network of : (A) Muscle fibres found only in the ventricle wall (B) Nerve fibres distributed in ventricles (C) Nerve fibres are found throughout the heart (D) Muscle fibres distributed throughout the heart walls

32.

Nerve impulse through synapse is (A) Unidirectional (B) Bidirectional

(C) Multidirectional

Memory cells are : (A) Cells responsible for immunologic memory (C) Cells of cerebrum

(B) Antigens (D) Cells responsible for memory in brain

33.

(D) None of the above

Space for rough work

IJSO_ STAGE-I _PRACTICE TEST PAPER-1_PAGE #5

34.

Select correct/incorrect functions : 1. Ligase – Joins short DNA segments 2. DNA Polymerase – Cuts DNA at specific sites 3. Helicase – Breaks H – bonds between complementary DNA strands (A) 1, 2 and 3 correct (B) 1 correct, 2 and 3 false (C) 1 and 3 correct, 2 false (D) 1 and 2 correct, 3 false

35.

Which of the statements relate to plant hormone auxin are true ? (A) Phototropism in plants is result of movement of auxin towards light. (B) Auxin acts only by elongation of the cell wall. (C) Auxin moves away from light. (D) Auxin acts only by cell differentiation.

36.

Protein synthesis in an animal cell takes place (A) Only in the cytoplasm (B) In the nucleus as well as in the cytoplasm. (C) In cytoplasm as well as in mitochondria. (D) Only in mitochondria

37.

Which of the statement is false regarding hemoglobin (A) In addition to transporting O2 , it also transports CO2 (B) The affinity of hemoglobin for O2 is pH independent (C) Oxygen binds cooperatively to hemoglobin. (D) None of the above

38.

The head of mature mammalian sperm is made of (A) An acrosome (B) Elongated nucleus covered by acrosome (C) Two centrioles and an axial filament (D) Nucleus, acrosome, cytoplasm mitochondrial sheath.

39.

When a cell of 2 m diameter grows to double its diameter, its surface area : volume relationship will: (A) Remain the same (B) Become double (C) Reduce to half (D) Become undetermined

40.

In electronmicrosope, the lenses are (A) Electric (B) Photoelectric

(C) Electromagnetic

(D) Quartz

Space for rough work

IJSO_ STAGE-I _PRACTICE TEST PAPER-1_PAGE #6

ANSWER KEY IJSO(STAGE-I) PRACTICE TEST PAPER-1 Que s.

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Ans.

D

C

C

B

A

B

D

A

D

C

C

C

D

A

B

Que s. 16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

B

D

A

C

A

B

C

A

B

B

C

A

A

C

32

33

34

35

36

37

38

39

40

A

A

C

C

C

B

B

C

C

Ans.

B

Que s. 31 Ans.

A

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