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IMO Class 9
Sample Paper 2021-22
 SAMPLE PAPER SYLLABUS 2021-22 CLASS

Total Questions : 50
PATTERN & MARKING SCHEME
9 Time : 1 hr.

(1) Logical (2) Mathematical (3) Everyday (4) Achievers

Section
Reasoning Reasoning Mathematics Section
SOF INTERNATIONAL No. of Questions 15 20 10 5
MATHEMATICS OLYMPIAD Marks per Ques. 1 1 1 3
SYLLABUS
Section – 1 : Verbal and Non-Verbal Reasoning.
Section – 2 : Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Introduction to Euclid’s Geometry, Lines and Angles,
Triangles, Quadrilaterals, Areas of Parallelograms and Triangles, Circles, Constructions, Heron’s Formula, Surface Areas and Volumes, Statistics, Probability.
Section – 3 : The syllabus of this section will be based on the syllabus of Mathematical Reasoning and Quantitative Aptitude.
Section – 4 : Higher Order Thinking Questions - Syllabus as per Section – 2.

LOGICAL REASONING

1. If L denotes ÷, M denotes ×, P denotes + and Q

denotes –, then which of the following options (C) (D)
is correct?
(A) 32 P 8 L 16 Q 4 = – 3 3. Find the missing number, if the same rule is
2
173 followed in all the three figures.
(B) 6 M 18 Q 26 L 13 P 7 = 2 1 4 2 3 3 4 6 7
13
38 693 374 ?
(C) 11 M 34 L 17 Q 8 L 3 =
3
2 2 3 2 1 2
(D) 9 P 9 L 9 Q 9 M 9 = – 71 5 2 1
(A) 937
2. Which of the following options satisfy the same (B) 824
conditions of placement of the dots as in Fig. (X)? (C) 769
(D) 606
4. Complete the given pattern.
Fig.
Fig. (X)
(X) 6, 11, 21, 36, 56, ( ? )
(A) 42
(B) 51
(A) (B)
(C) 81
(D) 91

MATHEMATICAL REASONING

5. What values of a and b make quadrilateral 6. For the quadrilateral shown here, what is
MNOP a parallelogram? the value of ∠a + ∠c?
C
N 21 O (A) 53° c
B 95°
3a–2b
(B) 137°
13 32° D
(C) 180° a
M 4a+b P (D) 233° A

(A) a = 1, b = 5 (B) a = 5, b = 1 16 × 2n +1 − 4 × 2n
7. Simplify :
11 34 34 11 16 × 2n +2 − 2 × 2n +2
(C) a = ,b= (D)
a= ,b=
7 7 7 7 (A) 1 (B) 6/11
(C) 0 (D) 1/2

Sample Paper | Class-9 | 1

8. Find the remainder when p(y) = y3 + y2 + 2y + 3 is 10. What is the value of x ?
divided by y + 2.
(A) 1 (B) 4
(C) –5 (D) 3

9. The ordinate of any point on x-axis is

____________.
(A) 0 (B) 1 (A) 35° (B) 60°
(C) –1 (D) Any number (C) 85° (D) 95°

EVERYDAY MATHEMATICS

11. A right circular cone has radius 5 cm and height 8 (A) ` 80 (B) ` 120
cm. What is the lateral surface area of the cone? (C) ` 30 (D) ` 60
(A) 40p sq. cm 13. Find the area of the given trapezium.
(B) 445p sq. cm 70 cm
(C) 5p 39 sq. cm
(D) 5p 89 sq. cm 30 cm

12. Vi k a s h a s ` ( x 3 + 2 a x + b ) , w i t h t h i s
money he can buy exactly (x – 1) jeans or 20 cm 20 cm
(x + 1) shirts with no money left. How much (A) 2900 cm2 (B) 3000 cm2
money Vikas has, if x = 4? (C) 2100 cm2 (D) 2700 cm2

ACHIEVERS SECTION

14. Select the correct match. 15. The marks scored by some students for a
question in the Science test are shown in the
Let f(x) =
( x − 2)( x − 4)
table given below.
x
(A) f(x) is a - As (x – 2), (x – 4), Marks 0 1 2 3 4 5
polynomial x are polynomials Number of students 3 2 3 5 x 1
(a) If the mode is 4, then write down the
(B) f(x) is an - As it can be written
smallest possible value of x.
equation as ax2 + bx + c
(b) If the mean is 2 1 , then find the value of x.
p 4
(C) f(x) is a - As it is of the form , (a) (b)
q
rational number q ≠ 0 (A) 6 2
(D) f(x) is not a - As the exponents of x (B) 5 2
(C) 6 4
polynomial are not whole numbers.
(D) 6 3

SPACE FOR ROUGH WORK

ANSWERS
1. (D) 2. (D) 3. (D) 4. (C) 5. (B) 6. (D) 7. (D) 8. (C) 9. (A) 10. (C) 11. (D) 12. (D) 13. (D) 14. (D) 15. (A)

2 | Sample Paper | Class-9