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Name of the Organisation : Silver Zone
Subject : IOM – International Olympiad of Mathematics
Location : India
Document Type : Sample Question Paper
Website : olympiads.asia

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Silver Zone IOM Sample Question Paper

Syllabus & Sample Questions :
** Number System, Operation on Numbers, Roman Numerals, Factors and multiples, Fraction, Decimals,

Related / Similar Question Papers :
Silver Zone Olympiad iOS Sample Question Paper

** Money, Unitary Method, Geometrical Concepts, Area and Perimeter of Geometrical Figures,
** Graphical Representation of Data, Data handling, Applied Mathematics.
The Actual Question Paper Contains 40 Questions. The Duration of the Test Paper is 60 Minutes

Class –  V

2. The following bar graph shows the height of 6 girls in a class. In a sporting event only those girls can participate who have height of 138 cm. Find how much height the shortest girl given in the graph needs to increase to participate in the competition?
(A) 20 cm (B) 18 cm
(C) 16 cm (D) 14 cm
(E) None of these

3. If 3x means 1 × 2 × 3, thus 3x = 6 and if 4x means 1 × 2 × 3 × 4 , thus 4x = 24 , then 6x is equal to?
(A) 120
(B) 384
(C) 720
(D) 1008
(E) 5040

4. Y is 5 times of X. When Y is divided by 45, the quotient is 278 and the remainder is 35. Find the value of X + Y.
(A) 15054
(B) 12054
(C) 16054
(D) 18054
(E) None of these

5. The desks in a classroom are arranged in straight rows. John is in the third row from the front and the fourth row from the back. He is also third from the left end of a row and fifth from the right. How many desks are in the classroom?
(A) 24
(B) 30
(C) 35
(D) 42
(E) 56

6. How many circles are there in the following figure?
(A) 20
(B) 21
(C) 22
(D) 23
(E) None of these

7. Write the Roman Numeral for 1176.
(A) MXXVI
(B) MLXXVIC
(C) MCILXX
(D) MCLXXVI
(E) None of these

8. (23 = 2 × 2 × 2 and 25 = 2 × 2 × 2 × 2 × 2) If 2x + 3y = 41, where x and y are natural numbers, then the value of x + y is
(A) 9 (B) 8
(C) 7 (D) 6
(E) None of these

9. Price of 15 maths book is $825 and the price of 19 science book is $855. Jack buys 3 maths book and 2 science book, how much he has to pay?
(A) $ 250
(B) $ 260
(C) $ 265
(D) $ 255
(E) None of these

10. In the grid below, I took 2 steps east, 2 steps north, one step east and one step north and reached X. Where did I start?
(A) I
(B) II
(C) III
(D) IV
(E) None of these
1. (C) 2. (B) 3. (C) 4. (A) 5. (D) 6. (B) 7. (D) 8. (C) 9. (D) 10. (B)

Class – X

Syllabus & Sample Questions :
** Number System, Polynomials, Linear Equation, Quadratic Equation, Arithmetic progression,

** Coordinate Geometry, Statistics, Trigonometry, Circles, Triangles, Probability, Sequence and Series,
** Mensuration, Mathematical Reasoning and Logical Ability, Applied Mathematics
The Actual Question Paper Contains 40 Questions. The Duration of the Test Paper is 60 Minutes.

1. If the coefficient of z in the quadratic equation z2 + az + b = 0 is taken as 18 in place of 12 and its roots were found to be – 16 and -2. The roots of the original equation are
(A) -12 and -6
(B) -14 and -4
(C) -8 and -4
(D) -16 and -2
(E) None of these

2. The value of 8+ 8+ 8+……….. is:
(A) 1± 33
(B) 8± 60
(C) 8± 72
(D) 8± 42
(E) None of these

3. Find the length of the median AD of the ABC whose vertices are A(7,-3), B(5,3) and C(3, -1), where D is the mid-point of the side BC.
(A) 6 (B) 9
(C) 10 (D) 5
(E) None of these

4. If sin 2 , then the value of cos2 4 is:
(A) 0 (B) 1
(C) 2 (D) 4
(E) None of these

5. A bag contains 3 white marbles, 4 red marbles and 5 black marbles. One marble is drawn at random from the bag, what is the probability that the marble drawn is neither black nor white?
(A)1/4
(B)1/2
(C)1/3
(D)3/4
(E) None of these

6. The measure of B in the following figure is:
(A) 65° (B) 115°
(C) 120° (D) 125°
(E) None of these

7. If TAIL is coded as VCKN, how is PEACE coded?
(A) RGCEG (B) QFBDF
(C) RDZBD (D) QECEG
(E) None of these

8. A bag contains 12 balls out of which x are red. If three more red balls are put in the bag, the probability of drawing the red balls becomes twice the original probability, then the value of x is
(A) 4 (B) 2
(C) 6 (D) 5
(E) None of these

9. A tree breaks due to storm and the broken part of the tree touches the ground making an angle of 30° with the ground. If the distance between the foot of the tree to the point where the top touches the ground is 8 m, then the height of the tree is
(A) 4 3 m
(B) 8 3 m
(C) 16 3 m
(D) 32 3 m
(E) None of these

10. Peter walks to his office and returns by riding bike which take him 90 minutes. On the other hand, when he goes and returns by his bike, it take him 30 minutes. If he goes and returns by walking with a uniform speed, then find the time taken by him.
(A) 3 hours (B) 1.5 hours
(C) 2 hours (D) 2.5 hours
(E) None of these
1. (C) 2. (A) 3. (D) 4. (B) 5. (C) 6. (D) 7. (A) 8. (B) 9. (B) 10. (D)