CBSE Class 7 Mathematics IMO Olympiad MCQs with Answers Set A

LOGICAL REASONING

Question. Find the missing figure in the given pattern

Answer : C

Question. A cube and its net is given below. Identify the letter on the top of the cube.

A. S
B. T
C. U
D. R
Answer : D

Question. If Armaan is facing South-east of P after turning 135° clockwise, then he was facing at first.

A. North
B. North-west
C. West
D. North-east
Answer : C

Question. If the figures having some characters given below follow the same rule, then find the missing number from the options

A. 1304
B. 2304
C. 2034
D. 1034
Answer : B

Question. Arrange the given below words in the order as in a dictionary.
(i) Mercury (ii) Showroom
(iii) Rice (iv) Petrol
(v) Oranges
A. (i), (v), (iv), (ii), (iii)
B. (i), (iv), (v), (iii), (ii)
C. (i), (v), (iv), (iii), (ii)
D. (ii), (iii), (iv), (v), (i)
Answer : C

Question. Select the figure from the options which is not exactly embedded as one of the part in the given figure.

Answer : C

Question. Which of the following is the correct mirror image of Figure (X), if the mirror is placed vertically to the left?

Answer : B

Question. Count the number of triangles in the given figure.

A. 22
B. 20
C. 19
D. 21
Answer : B

Question. Which of the following options best depicts the given Venn diagram?

A. Plants, Animals, Flowers
B. Pencil, Eraser, Pen
C. Toy cars, Toys, Plastic objects
D. Basketball players, Females, Sportsman
Answer : D

Question. Select the pair which satisfies the same placement of condition of dots.

A. PQ
B. QR
C. PR
D. Can't be determined
Answer : C

Question. Study the given arrangement and answer the question that follows:
W ↑ 2 S I * N 1 L @ = B D 3 6 D H J 9 # 7 P K $ V & 8 4 M
If the symbols and numbers are interchanged serially as they appear in the arrangement such as ↑ with 2, * with 1, @ with 3 and so on, then which element will be the 17th element to the right of the 20th element from the right end in the new arrangement?
A. 8
B. $
C. 4
D. #
Answer : B

Question. If ‘+’ stands for ‘×’, ‘–’ stands for ‘÷’, ‘×’ stands for ‘–’, ÷ stands for ‘+’, then value of P is.
6 – 2 + 8 × 12 ÷ 3 > P
A. 15
B. 18
C. 21
D. 14
Answer : D

Question. Rahul told Anand, "Yesterday I defeated the only brother of the daughter of my grandmother." Whom did Rahul defeat?
A. Son
B. Father
C. Brother
D. Father-in-law
Answer : B

Question. P, Q, R, S, T, V and W are sitting around a circle facing at the centre. V is second to the left of P and second to the right of W. T is third to the right of Q and is not an immediate neighbour of V. S is third to the right of R.
In which of the following groups is the last person sitting between the first and the second persons?
A. RPQ
B. TWS
C. QPR
D. PTR
Answer : D

Question. A piece of paper is folded in such a manner as shown and punched. Select the unfolded form of piece of paper.

Answer : B

MATHEMATICAL REASONING

Question. Priya earned ₹ 25000 in a month. The given graph shows the amount of money saved by Priya in five months. What was the amount of money she spend in five months

A. ₹ 970000
B. ₹ 100000
C. ₹ 107000
D. ₹ 117000
Answer : C

Question. Select the correct match

Answer : B

Question. Which of the following number line represents –1 – 4?

Answer : D

Question. The value of ((243)^1/5)⁴/((32)^1/5)⁴ = ?
A. 3/2
B. (3/2)^-4
C. 1/2⁻⁴ × 3⁻⁴
D. 1/2⁴ × 3⁻⁴
Answer : D

Question. Select the INCORRECT step in simplification of 2(x + 1) = 3(2x – 2)
Step-1 : 2x + 2 = 6x – 6 (open brackets)
Step-2 : 6x – 2x = 2 + 6 (combining like terms)
Step-3 : 4x = 8
Step-4 : x = 2 (multiplying by 4 both sides)
A. Step - 2
B. Step - 4
C. Step - 3
D. Step - 1
Answer : B

Question. Find the area of square PQRS.

A. 19 sq. units
B. 36 sq. units
C. 16 sq. units
D. 25 sq. units
Answer : D

Question. Which of the following options is incorrect ?

A. ∠1 = ∠3
B. ∠1 + ∠4 + ∠5 = 180°
C. ∠8 = ∠6
D. ∠1 + ∠3 = 180°
Answer : D

Question. In two triangles PQR and LMN, PQ = QR, ∠P = ∠M and QR = LN, then which of the following is true? 
A. Triangles are congruent only
B. Triangles are isosceles only
C. Triangles are both congruent and isosceles
D. None of these
Answer : D

Question. The mean of three numbers is 40. All the three numbers are different natural numbers. If lowest is 19, what could be highest possible number of remaining two numbers?
A. 81
B. 40
C. 100
D. 71
Answer : A

Question. Study the below statements carefully and answer the question given below.
(i) The successor of 0 × (–52) is 1 × (–52).
(ii) Integers are closed under division.
(iii) (–20) × (5 – 3) = (–20) × (–2)
(iv) (–2) + (–9) is less than (–9) – (–2).
Which of the following statements is/are correct?
A. Only (i)
B. Both (i) and (iv)
C. Only (iv)
D. Both (i) and (iii)
Answer : C

Question. The three scales below are perfectly balanced if • = 3. What are the values of D and * respectively?

A. 4, 7
B. 6, 3
C. 7, 4
D. 3, 6
Answer : C

Question. Mathematics textbook for Class VII has 320 pages.
The chapter 'Symmetry' runs from page 261 to page 272. The ratio of the number of pages of this chapter to the total number of pages of the book is _______.
A. 11 : 320
B. 3 : 40
C. 3 : 80
D. 272 : 320
Answer : C

Question. In the given figure, all triangles are equilateral and PQ = 12 units. Other triangles have been formed by taking the mid points of the sides. What is the perimeter of the figure?

A. 62.3 units
B. 64.5 units
C. 65.8 units
D. 67.5 units
Answer : D

Question. The number of toffees in 30 gift packs are given as follows:
5, 6, 4, 5, 3, 4, 4, 2, 5, 4, 1, 2, 11, 9, 2, 5, 4, 8, 7, 6, 5, 1, 2, 5, 7, 8, 1, 9, 7, 8
Find the average number of toffees in gift packs.
A. 4
B. 5
C. 6
D. 7
Answer : B

Question. Find the value of ∠1 + ∠2.

A. 150°
B. 60°
C. 130°
D. 110°
Answer : C

Question. A man travelled two fifth of his journey by train, one third by bus, one-fourth by car and the remaining 3 km on foot. What is the length of his journey travelled by train?
A. 75 km
B. 72 km
C. 80 km
D. 85 km
Answer : B

Question. In a school of 100 students, only 2 out of 5 students can participate in a quiz. What is the percentage of students that participate in the quiz?
A. 20%
B. 40%
C. 50%
D. 30%
Answer : B

Question. Choose the correct option for DPQR.
A. PQ – QR > PR
B. PQ + QR < PR
C. PQ – QR < PR
D. PQ + PR < QR
Answer : C

Question. The choices of the fruits of 42 students in a class are as follows:
A, O, B, M, A, G, B, G, A, G,
B, M, A, G, M, A, B, G, M, B,
A, O, M, O, G, B, O, M, G, A,
A, B, M, O, M, G, B, A, M, O, M, O,
where A, B, G, M and O stands for Apple, Banana,
Grapes, Mango and Orange respectively.
Which two fruits are liked by an equal number of students?
A. A and M
B. M and B
C. B and O
D. B and G
Answer : D

Question. Evaluate: 

A. 2.833
B. 0.28
C. 0.000028
D. 0.00028
Answer : A

EVERYDAY MATHeMATICS

Question. A 5 kg bag of rice cost ` 8 per kg. Mr. Mohit bought ` 120 worth of rice. If he repacked the rice into smaller packets each weighing 3/5 kg, how many packets would he get?
A. 15
B. 12
C. 9
D. 25
Answer : D

Question. It takes 17 full specific type of trees to make one tonne of paper. If there are 221 such trees in a forest, then to save 7/13 part of the forest, how much of paper we have to save?
A. 6 tonnes
B. 8 tonnes
C. 7 tonnes
D. 4 tonnes
Answer : C

Question. Garima collected the data regarding weights of students of her class and prepared the following table:

A student is to be selected randomly from her class for some competition. The probability of selection of the student is highest whose weight (in kg) is in the interval.
A. 44-49
B. 56-61
C. 50-55
D. 62-67
Answer : B

Question. In a test Abha gets twice the marks as that of Palak.
Two times Abha's marks and three times Palak's marks make 280. The marks obtained by Abha are.
A. 40
B. 60
C. 80
D. 90
Answer : C

Question. Supriya got ₹ 27480 as her monthly salary and over-time. Her salary exceeds the over-time by ₹ 8000. How much did she earn in a year (except overtime)?
A. ₹ 212880
B. ₹ 156430
C. ₹ 243820
D. ₹ 198460
Answer : A

Question. The lawn in front of Latika's house is 12 m × 8 m, whereas the lawn in front of Nisha's house is 15 m × 5 m. A bamboo fencing is built around both the lawns. How much fencing is required for both?
A. 40 m
B. 80 m
C. 60 m
D. 90 m
Answer : B

Question. Amit purchased 2 kg 200 g potatoes, 250 g rice, 15 kg 300 g wheat, 500 g apples and 2 kg 600 g tomatoes. Find the total weight of his purchases (in kilograms).
A. 25.75 kg
B. 18.65 kg
C. 20.85 kg
D. 15.95 kg
Answer : C

Question. Shivam purchased 42(1/2) litres of juice on Monday and 24(3/4) litres of juice on Tuesday. How many litres of juice did he purchase together in two days?
A. 66(2/3)litres
B. 72(3/4)litres
C. 76(1/4)litres
D. 67(1/4)litres
Answer : D

Question. Temperature of a place at 12:00 noon was 5 °C. Temperature increased by 3 °C in first hour and decreased by 1 °C in the second hour. What was the temperature at 2:00 pm?
A. 5 °C
B. 7 °C
C. 8 °C
D. 6 °C
Answer : B

Question. In a colony of 100 blocks of flats numbering 1 to 100, a school van stops at every sixth block while a school bus stops at every tenth block. On which stops will both of them stop if they start from the entrance of the colony?
A. 30, 60, 90
B. 20, 40, 80
C. 30, 60, 80
D. 40, 80, 100
Answer : A

ACHIEVERS SECTION
 

Question. Sum of two numbers is 45. One is twice the other.
(a) If smaller number is l, find the other number.
(b) Find the equation formed.
(c) Find the numbers.
    (a)               (b)                   (c)
A. 2l         l + 2l = 45             10, 35
B. 2l         l + 2l = 45             15, 30
C. l + 2    45 + l + 2 = l         15, 30
D. l/2       45 + l/2 – l = 0       25, 20
Answer : B

Question. Which of the following statements is correct?
A. The reciprocal of a proper fraction is a proper fraction.
B. The product of two improper fractions is less than both the fractions.
C. To multiply a decimal number by 1000, we move the decimal in the number to the right by three places.
D. Product of two fractions = Product of their denominators/Product of their numerators
Answer : C

Question. There are four containers that are arranged in the ascending order of their heights. If the height of the smallest container given in the figure is expressed as 3/29 x = 16.5 cm. Find the height of I, II and IV container.

           I                     II                  IV
A. 159.5 cm      79.75 cm      39.88 cm
B. 156.5 cm      76.65 cm      19.94 cm
C. 159.5 cm      79.75 cm      19.94 cm
D. 162.75 cm    86.5 cm        22.34 cm
Answer : C

Question. Fill in the blanks.
A __P___ is perfectly straight and extends forever in both directions. A __Q___ is a perfectly flat surface that extends forever in all directions. A __R___ or line segment, is the part of a line between two points.
       P       Q             R
A. Line   Plane       Ray
B. Line   Plane       Segment
C. Line   Ray         Plane
D. Ray   Segment  Plane
Answer : B

Question. Which of the following options hold with respect to given below statements?
Statement 1 : Value of (–85) × 43 + 43 × (–15) = (–85 + (–15)) × 43 = 4300
Statement 2 : If * is a multiply operation for integers p, q and r, then we have p * (q + r) = (p * q) + (p * r)
A. Statement 1 is true and statement 2 is false.
B. Statement 1 is false and statement 2 is true.
C. Both statements 1 and 2 are true.
D. Both statements 1 and 2 are false.
Answer : B