IJSO(STAGE-I)
WORK SHOP
TEST PAPER -1
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 each of 3 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.
Time : 1 Hr. Max. Marks : 120
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WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-1_PAGE #1
TEST PAPER-1
1. How many numbers lie between 11 and 1111 which when divided by 9 leave a remainder of 6 and when divide by 21 leave a remainder of 12?
(A) 16 (B) 17 (C) 18 (D) 19
2. Find the HCF of (2315
– 1) and (225–1) is
(A) 5 (B) 2 (C) 31 (D) None of these
3. r r r 1 4 1 r 3 . 3 3 9
= k, then the value of k is
(A) 3 (B) 32 (C) 33 (D) r 3
4. Find the last digit of the expression: 12 + 22 + 32 + 42 + ... + 1002.
(A) 0 (B) 5 (C) 1 (D) 7
5. p,q, r are the decimal numbers and [x] means the greatest integer less than or equal to x and A = [p + q + r] and B = [p]+[q] + [r], then the maximum value of A – B is :
(A) 0 (B) 2 (C) 2.99 (D) None of these
6. (a+1) (b–1) = 625 ; (a b) I+ then the value of a + b is :
(A) a + b 25 (B) a + b 50 (C) a + b 25 (D) a + b 50
7. In a bangle shop, the shopkeeper displays the bangles in the from of a square then he is left with 38 bangles with him. If he wanted to increase the size of square by one unit each side of the square he found that 25 bangles fall short of in completing the square. The actual number of bangles which he had with him in the shop was :
(A) 1690 (B) 999 (C) 538 (D) can not be determine
8. If ab, cd, ba and dc are two digit numbers then the maximum value of (ab×cd)–(ba ×dc) is , where a, b, c, d are distinct non-zero integers :
(A) 7938 (B) 7128 (C) 6930 (D) None of these
9. If uv + vw + wx = 0 for every negative integer u,v, w, x the value of u
× v × w × x is necessarlily be :
(A) 0 (B) less than zero (C) even (D) odd
10. When (1!)1! + (2!)2! + (3!)3! + ... + (100!)100! is divided by 5, the remainder obtained is :
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11. In the given network of four resistances, the equivalent resistance is
(A) 20 (B) 5.4 (C) 12 (D) 4.5
12. Find the equivalent resistance between terminals A and B. Each resistor is of resistance R.
(A) 1.5 R (B) 2.5 R (C) 2.0 R (D) 1 R
13. The equivalent resistance between the points A and B is
(A) 9 R 5 (B) 3 R 2 (C) R (D) None of these
14. Find current in the branch CD of the circuit (in ampere).
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15. A circuit shown in figure consists two ideal batteries connected in series through two resistances. Find the value of current in the circuit.
R1 a b c d R2 (A) 0.5 A (B) 0.6 A (C) 0.7 A (D) 0.4 A
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. 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 P
1 is removed. The
acceleration of the central charge is : P1 P2 P3 P4 P5 O [Given OP1 = OP2 = OP3 = OP4 = OP5 1 m ; 0 4 1 = 9 × 10 9 in SI units] (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
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18. 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) 5 R n (B) 5n2 R (C) 5 R n2 (D) 2 R n2
19. In the circuit shown:
Find the potential difference between points A and C.
(A) 2 V (B) 3.5 V (C) 5 V (D) 6.5 V
20. The lengths of three wires of same metal and same thickness are in the ratio 1 : 2 : 3. If we join them in parallel and then connect to battery, what will be the ratios of current in them ?
(A) 1 : 2 : 3 (B) 6 : 5 : 4 (C) 6 : 3 : 2 (D) 3 : 2 : 1
21. In Lother Meyer’s curve most electronegative elements or halogens occupied
-(A) peaks (B) ascending positions
(C) descending positions (D) halogens were not shown
22. The properties of the elements are the periodic function of their atomic numbers. This statement was given by
-(A) N. Bohr (B) J.W. Dobereiner (C) D.I. Mendeleev (D) H.G.J. Moseley
23. In the long form of periodic table lanthanides are placed in the
-(A) 2nd period (B) 5th period (C) 6th period (D) 7th period
24. The correct order of second I.E. of C,N,O and F is
-(A) F > O > N > C (B) C > N > O > F (C) O > N > F > C (D) O > F > N > C 25. I.E increases with
-(A) decrease in atomic size. (B) increase in nuclear charge.
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WORK SHOP_IJSO_ STAGE-I _ TEST PAPER-1_PAGE #5
26. M+ +
E. M+2 + e–
The ionisation energy in the above equation is
-(A) I.E.1 (B) I.E.2 (C) I.E.3 (D) None of these
27. The formation of the oxide ion O2–(g) requires first an exothermic and then an endothermic step as shown
below O(g) + e– O–(g) ; Hº = –14.2 KJ/mol O–(g) + e– O2–(g) ; Hº = 844 KJ/mol What does it show ?
(A) O– ion will tend to resist the addition of another electron.
(B) Oxygen is more electronegative. (C) Oxygen has high electron affinity.
(D) O– ion has comparatively larger size than oxygen atom.
28. Largest in size out of Na+, O–2 and K+ is
-(A) Na+ (B) O– 2 (C) K+ (D) all are equal
29. Elements which have zero valency are
-(A) helium and neon (B) oxygen and nitrogen (C) silver and gold (D) iron and zinc 30. Which of the following transitions involves maximum amount of energy ?
(A) M–(g) M (g) (B) M(g) M–(g) (C) M+(g) M2+(g) (D) M2+(g) M3+(g)
31. In an eukaryotic cell most of the hydrolytic enzymes are located. (A) Inside the lysosomes for the digestion of ingested particles
(B) On the chromosomes for splitting of chromatids during cell division. (C) On the outer surface of the plasma membrane for cellular defence
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32. Match list-I with list-II and select the correct answer using the codes given below the lists.
List-I List-II A Pairing of homologous chromosomes Chiasmata B Actual inter change of complex segments between two homologous chromosomes Synaptonemal complex C Protein body formed between paired homologous chromosomes Synapsis D The cross shaped configuration visible at diplotene between homologous chromosomes Crossing over Codes : A B C D (A) 4 3 1 2 (B) 3 4 1 2 (C) 3 4 2 1 (D) 4 3 2 1
33. Ribosome (80S) can be dissociated into two sub units (60S and 40S). The two sub units again can re-form the 80S unit. What is divalent cation in the presence of which such conversions take place?
(A) Mg2+ (B) Ca2+ (C) Fe2+ (D) Cu2+
34. Which of the following cell membrane components serve as recognition signals for interactions between cells?
(A) Recognition proteins (B) Glycolipids or glycoproteins
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35. In which part of the excretory system of mammals you can first use the term urine for fluid it contains ? (A) Bowman’s capsule (B) Loop of Henle (C) Collecting tubule (D) Urinary tubule
36. Glucose is taken back from glomerular filtrate through
(A) Active transport (B) Passive transport
(C) Osmosis (D) Diffusion
37. Meristematic tissues of plants include
(A) mature fruits, tips of stem and root, cork cambium (B) stem and root tips, vascular cambium, cork cambium (C) vascular cambium , cork cambium, tips of mature leaves (D) tips of mature leaves, mature fruits
38. The hardness of the bone tissue is mainly due to the phosphates and carbonates of
(A) calcium and sodium (B) calcium and magnesium
(C) magnesium and sodium (D) magnesium and potassium
39. A simple tissue with both mechanical and physiological functions in young dicotyledonous plants is
(A) Meristematic tissue (B) Parenchyma
(C) Sclerenchyma (D) Collenchyma
40. Characteristics of smooth muscle fibres are :
(A) Spindle-shaped, unbranched, unstriated, uninucleate and involuntary (B) Spindle shaped, unbranched, unstriped, multinucleate and involuntary (C) Cylindrical, unbranched, unstriped, multinucleate and involuntary (D) Cylindrical, unbranched, striated, multinucleate and voluntary
