IJSO(STAGE-I) PRACTICE TEST PAPER-2
Time : 1½ Hr.
Max. Marks : 180
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 60 questions. 15 question from Mathematics (1–15), 15 question from Physics(16-30), 15 question from Chemistry (31–45) & 15 question from Biology (46–60) 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 -2 (IJSO) 1.
If x is a positive integer less than 100, then the number of x which make 1 2 3 4 x an integer is: (A) 6 (B) 7 (C) 8 (D) 9
2.
The sum of any three distinct natural numbers arranged in ascending order is 200 such that the second number is a perfect cube. How many possible values are there for this number ? (A) 4
(B) 3
(C) 2
(D) 1
3.
The lengths of the sides of a right angled triangle are all given in natural numbers. If two of these numbers are odd and they differ by 50, then the least possible value for the third side is : (A) 61 (B) 60 (C) 51 (D) 50
4.
How many pairs of natural numbers are there so that difference of their squares is 60 ? (A) 4
(B) 3
(C) 2
(D) 1
5.
In the familiar decimal number system the base is 10. In another number system using base 4, the counting proceeds as 1, 2, 3, 10, 11, 12, 13, 20, 21 .... The twentieth number in this system will be (A) 40 (B) 320 (C) 210 (D) 110
6.
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
7.
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
How many 4-digit numbers are there with the property that it is a square and the number obtained by increasing all its digits by 1 is also a square ? (A) 0
8.
(C) 2
(D) 4
The number of 2-digit numbers n such that 3 divides n – 2 and 5 divides n – 3 is (A) 5
9.
(B) 1
(B) 6
(C) 7
(D) 10
The length of the common chord of two circles of radii 15 cm and 20 cm, whose centres are 25 cm apart is : (A) 24 cm
10.
(B) 25 cm
(C) 15 cm
(D) 20 cm
The number (1024)1024 is obtained by raising (16)16 to the power n. What is the value of n ? (A) 64
(B) 642
(C) 6464
(D) 160
Space for rough work
IJSO_ STAGE-I _PRACTICE TEST PAPER-2_PAGE #1
11.
The sum of 7 consecutive positive integers is equal to the sum of the next five consecutive integers. What is the largest among the 12 numbers ? (A) 24
12.
(B) 23
(C) 22
(D 21
In the given diagram shown below, if PB = 8 cm, AB = 4 cm, PD = 6 cm, then CD = ?
A
4 cm
B
8 cm P
(A) 13.
16 cm 3
D
?
C (B) 10 cm
6 cm
(C) 6 cm
(D) 7 cm
Let 0 < a < b < c be 3 distinct digits. The sum of all 3-digit numbers formed by using all the 3 digits once each is 1554. The value of c is : (A) 3
14.
15.
(B) 4
(C) 5
(D) 6
In the figure, AB = AC = AD,then which of the following is always true.
(A) BCD is a right angle.
(B) BCD is an acute angle.
(C) BCD is an obtuse angle.
(D) ABC is an equilateral triangle
Two parallel chords of a circle of radius 5 cm, are 4 cm and 6 cm long. What is the perpendicular distance between the chords, if it is mentioned that both the chords are on the same half of the circle ? (A)
21 4
(B)
21 4
(C) 4 21
(D) None of these
Space for rough work
IJSO_ STAGE-I _PRACTICE TEST PAPER-2_PAGE #2
16.
In the circuit shown, the galvanometer reads zero. If battery H has negligible internal resistance, the value of X in is:
(A) 10
(B) 100
(C) 200
(D) 500
17.
An electric bulb rated for 500 watts at 100 volts is used in a circuit having a 200 volts supply. The resistance R that must be put in series with the bulb, so that the bulb delivers 500 watts is ....... ohms.: (A) 25 (B) 20 (C) 50 (D) 30
18.
A wire of resistance 0.5 m–1 is bent into a circle of radius 1m. The same wire is connected across a diameter AB as shown in figure. The equivalent resistances in ohm is :
(A) 19.
(B) +1
(C)
( 2)
(D)
( 4)
In the circuit shown below, all the resistances are equal, each equal to R. The equivalent resistance between points A and C is :
B
C R
R
R
R
R R
R
R
A (A) R (C) R /2
D (B) 4R (D) none of the above
Space for rough work
IJSO_ STAGE-I _PRACTICE TEST PAPER-2_PAGE #3
20.
In the given network of four resistances, the equivalent resistance is
(A) 20 21.
(B) 5.4
(C) 12
(D) 4.5
A circuit shown in figure consists two ideal batteries connected in series through two resistances. Find the value of current in the circuit.
b
c
R1 R2
a (A) 0.5 A 22.
(B) 0.6 A
d (C) 0.7 A
(D) 0.4 A
5 charges each of magnitude 10–5 C and mass 1 kg are placed (fixed) symmetrically about a movable central charges of magnitude 5 × 10–5C and mass 0.5 kg as shown. The charges at P1 is removed. The acceleration of the central charge is : P1
1 [Given OP1 = OP2 = OP3 = OP4 = OP5 1 m ; 4 = 9 × 109 in SI units] 0 (A) 9 m s–2 upwards (B) 9 m s–2 downwards (C) 4.5 m s–2 upwards (D) 4.5 m s–2 downwards 23.
P2
P5 O P3
P4
A uniform wire of resistance R is stretched uniformly n times & then cut to form five identical wires. These wires are arranged as shown in the figure. The effective resistance between A & B will be:
(A)
nR 5
R
(B)
5n
2
(C)
n2 R 5
(D)
n2 R 2
Space for rough work
IJSO_ STAGE-I _PRACTICE TEST PAPER-2_PAGE #4
24.
The net resistance between points P and Q in the circuit shown in fig. is
(A) R/2 25.
(B) 2R/5
(C) 3R/5
(D) R/3
The equivalent resistance between the points A and B is
5R 9 (C) R
2R 3 (D) None of these
(A)
(B)
26.
For a fixed incedent light ray, if the mirror be rotated through an angle (abut an axis which lies in the plane of mirror and perpendicular to the plane of incidence) , then reflected ray turns through the angle in same sence. (A) (B) 2 (C) 3 (D) /2
27.
Find the region on y-axis in which reflected rays are present . object is at A(2,0) and MN is a plane mirror, as shown
Y N
M
(4,3)
(4,2) X
A(2,0) (A) From (0,6) to (0,9) (C) From (0,-6) to (0,-9)
(B) From (0,6) to (9,0) (D) From (-6,0) to (-9,0)
Space for rough work
IJSO_ STAGE-I _PRACTICE TEST PAPER-2_PAGE #5
28.
An object moves with 5m/s towards right while the mirror moves with 1 m/s towards the left as shown. Find the velocity of image.
1m/s 5m/s O mirror (A) 7 m/s towards left
(B) 7 m/s towards right (C) 5 m/s towards left
(D) 5 m/s towards right
29.
There is a point object and a plane mirror. It the mirror is moved by 10 cm away from the object find the distance which the image will move. (A) 10 cm (B) 20 cm (C) 30 cm (D) 40 cm
30.
In the situation shown in figure, find the elelocity of image
5 m/s 30º
y
10 m/s
x
60º
O
(A) –5(1 +
3 ) ˆi + 5
(B)
3 ˆj
(C) –5(1+ 3 ) ˆi – 5 3 ˆj 31.
5(1+ 3 ) ˆi + 5 3 ˆj
(D) 5(1+ 3 ) ˆi – 5
3 ˆj
If from 10 moles NH3 and 5 moles of H2SO4 all the H- atoms are removed in order to form hydrogen gas. Then the number of hydrogen molecules formed is (A) 20 NA
32.
(C) 10 NA
(D) 50 NA
50 g of CaCO3 is allowed to react with 73.5 g of H3PO4 . Then the amount of calcium phosphate formed is(A) 51.67 mol
33.
(B) 40 NA
(B)
1 mol 6
(C) 6 mol
(D) None of these
A gaseous alkane is exploded with oxygen. The moles of O2 for complete combustion and CO2 formed is in the ratio 7 : 4. The molecular formula of alkane will be (A) C3H8
(B) C3H6
(C) C2H6
(D) C3H8
Space for rough work
IJSO_ STAGE-I _PRACTICE TEST PAPER-2_PAGE #6
34.
A mixture of 1 mol of Al and 3 mol of Cl2 are allowed to react as : 2Al(s) + 3Cl2(g) 2AlCl3(s) (i) Which is limiting reagent ? (ii) How many moles of AlCl3 are formed ? (iii) Moles of excess reagent left unreacted is ? (A) (i) Al, (ii) 1, (iii) 1.5 (B) (i) Cl2, (ii) 2, (iii) 2 (C) (i) Al, (ii) 0.5, (iii) 1.5 (D) (i) Cl2, (ii) 1, (iii) 1.5
35.
22.4 litre of water vapour at NTP, when condensed to water occupies an approximate volume of (A) 18 (B) 1 (C) 1 m (D) 18 m
36.
0.63 g of dibasic acid was dissolved in water. The volume of the solution was made 100 ml. 20 ml of this
N NaOH solution. Molecular mass of the acid will be 5 (B) 126 g (C) 31.5 g (D) 94.5 g
acid solution required 10 ml (A) 63 g 37.
The equivalent weight of phosphoric acid (H3PO4) in the equation. NaOH + H3PO4 NaH2PO4 + H2O is (A) 59 (B) 49 (C) 25
(D) 98
38.
Density of a 2.05 M solution of acetic acid in water is 1.02 g/ml. The molality of the solution is : (A) 1.14 mol kg–1 (B) 3.28 mol kg–1 (C) 2.28 mol kg–1 (D) 0.44 mol kg–1
39.
Temporary hardness of water is due to (A) Bicarbonates of sodium and potassium (C) Fluorides of calcium and magnesium
(B) Bicarbonates of calcium and magnesium (D) Fluorides of sodium and potassium
40.
What approximate volume of 0.4 M Ba(OH)2 must be added to 50 ml of 0.3 M NaOH to get a solution in which the molarity of the OH– ions is 0.5 M ? (A) 33 ml (B) 66 ml (C) 133 ml (D) 100 ml
41.
An element ‘A’ reacts with oxygen to produce A2O3 .1g of ‘A’ produces 1.1596 g of A2O3 . The atomic mass of element ‘A’ will be (A) 20.70 (B) 66.85 (C) 100.2 (D) 150.4 Solution of NaHSO4 will be -
42.
(A) Acidic 43.
(C) Neutral
(D) None of these
The equivalent mass of MnSO4 becomes half of its molecular mass when it is converted into : (A) MnO4–
44.
(B) Basic
(C) MnO42–
(B) MnO2
(D) Mn2O42–
A solution containing 4.2 g of KOH and Ca(OH)2 is neutralized by an acid. If it consumes 0.1 equivalent of the acid, then% of Ca(OH)2 in mixture is (A) 35%
(B) 65%
(C) 14.7%
(D) 85.3%
Space for rough work
IJSO_ STAGE-I _PRACTICE TEST PAPER-2_PAGE #7
45.
Arrange the following in increasing order of pH NaOH, Na2CO3, NH4OH, CH3COOH, NaCl, HCl (A) HCl < CH3COOH < NaCl < Na2CO3 < NH4OH < NaOH (B) CH3COOH < HCl < NaCl < Na2CO3 < NH4OH < NaOH (C) CH3COOH < HCl < NaCl < NaOH < Na2CO3 < NH4OH (D) HCl < CH3COOH < NaCl < NH4OH < Na2CO3 < NaOH
46.
Five out of twenty plants obtained by selfing a red flowered plant were having white flowers. This is an indication that plant is : (A) Homozygous
47.
48.
(B) Heterozygous
(C) Homogenous
(D) Heterogenous
A pure tall pea plant can be distinguished form a hybrid tall pea plant by : (A) Measuring its height
(B) Gibberellin treatment
(C) Selfing and noting that all progeny are tall
(D) Selfing and noting that all progeny are short
If a heterozygous tall plant is crossed with homozygous dwarf plant, the proportion of dwarf progeny would be: (A) 50%
49.
50.
(B) 25%
(C) 75%
(D) 10%
A nucleoside is : (A) Base + sugar
(B) Base + phosphate
(C) Sugar + phosphate
(D) Base + sugar + phosphate
In crossing self fertilised plants the flowers are first emasculated.Whcih organ of the palnts is removed in this process ? (A) Stigma
51.
(C) Ovules
(D) Sepals
Blood will loose maximum O2 while passing through (A) alveolar Capillaries
52.
(B) Anthers
(B) Arteries
(C) Veins
(D) tissue Capillaries
(C) WBC only
(D) lymphocytes only
Cell formed in bone marrow include (A) RBC only
(B) RBC & WBC
Space for rough work
IJSO_ STAGE-I _PRACTICE TEST PAPER-2_PAGE #8
53.
Which is used to prevent bleeding ? (A) Vitamin A
54.
(B) Vitamin C
(C) Vitamin B12
(D) Vitamin K
Pulmonary artery carries (A) Pure blood to lungs (B) Pure blood to heart (C) impure blood to lungs (D) impure blood to heart
55.
56.
The plants die due to wilting when (A) Available light is reduced to half
(B) Xylem is blocked
(C) A few roots are broken
(D) Phloem is blocked
Glucagon is secreted from which cells of slet of Langerhans (A) – Cells
57.
60.
(D) Both & cells
(B) IAA
(C) GA
(D) None
(C) two neurons
(D) two lymphatics
Synapse is a close proximity of (A) two veins
59.
(C) – Cells
Which of the following is called as stress hormone ? (A) ABA
58.
(B) – Cells
(B) two arteries
Exophthalmic goitre is caused due to (A) hypersecretion of thyrocalcitonin
(B) hyposecretion of thyrocalcitonin
(C) hypersecretion of thyroxine
(D) hyposecretion of thyroxine
If a person happens to take large amount of water, the amount of ADH in blood will (A) Increase
(B) Decrease
(C) First increase then decrease
(D) None of these
Space for rough work
IJSO_ STAGE-I _PRACTICE TEST PAPER-2_PAGE #9
ANSWER KEY IJSO(STAGE-I) PRACTICE TEST PAPER-2 Que s.
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Ans.
B
B
B
C
D
C
B
B
A
D
B
B
B
A
A
Que s.
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Ans.
B
B
D
D
D
A
A
C
B
A
B
A
A
B
A
Que s.
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
Ans.
A
B
C
A
D
B
D
C
B
A
D
A
B
B
A
Que s.
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
Ans.
B
C
A
A
B
D
B
D
C
B
A
A
C
C
B
