CBSE Class 7 Mathematics IMO Olympiad MCQs with Answers Set I

LOGICAL REASONING

Question. There is a certain relationship between figures (i) and (ii). Establish a similar relationship between figures (iii) and (iv) by selecting a suitable figure from the options that would replace the (?) in figure (iv).

Answer : A

Question. How many squares are there in the given figure?

A. 10
B. 14
C. 17
D. None of these
Answer : A

Question. Find the missing number, if the same rule is followed in all the three figures.

A. 76
B. 56
C. 63
D. 64
Answer : D

Question. In a certain code language, 'EMPLOYEES' is written as 'DLOKOXDDR'. How will 'FURNITURE' be written in the same language?
A. ETQMJSTQB
B. GTPNISTQF
C. ETQMISTQD
D. GTPNISTRE
Answer : C

Question. Choose a box from the options that is similar to the box formed from the given sheet of paper.

Answer : A

Question. Ali walks 10 km towards North. He turns to his right and after walking 2 km, he turns to his left. Finally after walking 6 km, he turns to his left again. In which direction is he moving now?
A. East
B. North-East
C. South
D. West
Answer : D

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

A. Animals, Elephants, Wolves
B. Graduates, Teachers, Human beings
C. Bricks, Houses, Bridges
D. Vehicles, Buses, Cars
Answer : C

Question. A square transparent sheet with a pattern and a dotted line on it is given. Select a figure from the options which shows the given sheet when folded along the dotted line.

Answer : B

Question. If '$' denotes '+', '@' denotes '×', '#' denotes '–' and '*' denotes '÷', then find the value of 12 * 6 @ 4 # 3 $ 6.
A. 12
B. 11
C. 14
D. 10
Answer : B

Question. Select the correct mirror image of the given figure.

Answer : D

Question. Group the given figures into three classes on the basis of their identical properties using each figure only once.

A. 1, 3, 5; 2, 4, 9; 6, 8, 7
B. 2, 5, 7; 6, 8, 9; 1, 3, 4
C. 1, 3, 5; 2, 4, 7; 6, 8, 9
D. 6, 3, 5; 2, 4, 7; 1, 8, 9
Answer : C

Question. Select a figure from the options which will complete the given figure matrix

Answer : B

Question. Select a figure from the options which satisfies the same conditions of placement of dots as in the given figure.

Answer : D

Question. If it is possible to make only one meaningful word with the third, sixth and eighth letters of the word ORDINATE, then the third letter of the word formed is the answer. If no meaningful word is formed, then give 'X' as the answer. If more than one such words can be formed, then give 'Z' as the answer.
A. D
B. Z
C. X
D. A
Answer : B

Question. Reema is sister of Vipin. Sudha is mother of Vipin. Jagdish is father-in-law of Sudha. How is Reema related to Jagdish?
A. Sister
B. Daughter
C. Granddaughter
D. Daughter-in-law
Answer : C

MATHEMATICAL REASONING

Question. If 3/7 of 64% of x/21 is 1280, then the value of x is ______.
A. 98000
B. 64000
C. 8000
D. 4900
Answer : A

Question. Simplify: 2p-8 x 8q-4 /2p-11 x 8q -5
A. 25
B. 26
C. 23
D. 24
Answer : B

Question. In the given figure, if ∠A = 2∠B and ∠ACD = 2∠DCB, then find the measure of ∠DCB + ∠B.

A. 60°
B. 90°
C. 45°
D. 75°
Answer : A

Question. Which of the following options represents the value of P shown on the number line?

A. 6/3 + 1/3 - 1/9 + 4/3
B. − 1/4 − 3/2
C. 1/3 - 6/2 + 4/3 - 1/2
D. 2/3 - 1/3 + 6/3 + 2
Answer : C

Question. In the given figure, ACD is a straight line. AC = CB and BF || DE. Find ∠BAE.

A. 42°
B. 84°
C. 39°
D. None of these
Answer : B

Question. Select a pair of integers whose sum is –51.
A. – 42, 93
B. 1, – 50
C. – 93, 42
D. – 1, –52
Answer : C

Question. A circle with centre at O and radius 5 cm is given. A right angled triangle AOB is inscribed in the circle. 
Find the area of the shaded region. (Take π = 22/7)

A. 132(4/7)cm²
B. 139(4/7)cm²
C. 66(1/14)cm²
D. 153(7/17)cm²
Answer : C

Question. By how much is –12x + 2y greater than the sum of –18x + 6y and 5x – 25y?
A. x + 21y
B. – x – 21y
C. x + 25y
D. x + 36y
Answer : A

Question. By which congruency criterion, ΔQPR ≅ DQPS, if QR = QS, PR ⊥ QA and PS ⊥ QC.

A. SAS
B. RHS
C. ASA
D. SSS
Answer : B

Question. Which of the following statements is CORRECT ?
A. If lengths of any two sides of a triangle are 7 cm and 10 cm, then the length of its third side lies between 3 cm and 17 cm.
B. It is possible to construct a unique triangle, if all its three angles are given.
C. An angle of (7 1/2)° , can’t be constructed using compass and ruler.
D. None of these
Answer : A

Question. Study the given figure (not drawn to scale) carefully and select the correct option.

(i) Perimeter of the complete figure is 198 cm.
(ii) Total area of figure II and III is 4 cm² less than the total area of figure I and IV.
A. Only (i) is true.
B. Only (ii) is true.
C. Both (i) and (ii) are true.
D. Neither (i) nor (ii) is true.
Answer : B

Question. If a : b = 2(1/2) : 2(1/2) and b : c = 1(1/4) : 3(1/2), then find a : b : c.
A. 7 : 6 : 18
B. 5 : 9 : 14
C. 15 : 11 : 14
D. 15 : 10 : 28
Answer : D

Question. Solve for x : 7x+3/4 + 9x+5/8 = 16x-3/16
A. 1/6
B. 5/3
C. − 3/5
D. − 1/6
Answer : D

Question. What is the least number of squares that must be added so that the line AB  becomes the line of symmetry?

A. 4
B. 5
C. 6
D. 7
Answer : C

Question. The sum of two consecutive multiples of 6 is 114.
Find the smaller number.
A. 60
B. 66
C. 54
D. 96
Answer : C

Question. A sum of money at simple interest doubles itself in 5 years 6 months. In how much time will it triple itself at the same rate?
A. 11 years
B. 12 years
C. 16 years
D. None of these
Answer : A

Question. Find the mean of first 7 odd natural numbers.
A. 49
B. 28
C. 21
D. 7
Answer : D

Question. Which of the following figures is the top view of the given figure?

Answer : D

Question. What is the order of rotational symmetry of the given figure?

A. 2
B. 6
C. 4
D. 0 
Answer : B

Question. A bag contains 5 blue gems, 8 red gems and 2 green gems. A gem is drawn at random. What is the probability of getting a blue gem?
A. 1/3
B. 2/3
C. 2/9
D. 5/6
Answer : A

EVERYDAY MATHEMATICS

Question. In Shimla, minimum temperature on Tuesday was 25°C. On Wednesday, it fell by 3°C and due to rainfall on Thursday, it further fell by 4°C. What was the minimum temperature on Thursday?
A. 20°C
B. 18°C
C. 22°C
D. 19°C
Answer : B

Question. Mr Sharma earns ₹ 64000 per month. He gave 2/5 of his salary to his son and 5/8 of the remaining to his daughter and the rest to his wife. Find the share of his wife.
A. ₹ 14400
B. ₹ 24000
C. ₹ 25600
D. ₹ 38400
Answer : A

Question. The grades obtained by 30 students of class VII are as follows:
A+, B+, A, B, A+, B+, A+, B, B, B+, A, A, A+, B, B+, A, A+, B, B, A, A, A+, A+, B, B+, B, B+, A+, A+, A
If a student has been selected at random, then find the probability that he has obtained grade A+.
A. 7/10
B. 7/30
C. 9/10
D. 3/10
Answer : D

Question. Manvi says that she got 16 more marks than 4 times the number of marks scored by Aashi. Form an equation which gives the marks scored by Aashi, if Manvi scored 72 marks.
A. 16x + 4 = 72
B. 16 + 4x = 72
C. 16x + 72 = 4
D. 72 + 4x = 16
Answer : B

Question. A rectangular piece of land is to be sold off in smaller pieces. The total area of the land is 217 sq. miles. The pieces to be cut out are 162 sq. miles in size. How many smaller pieces of the land can be sold at the given size?
A. 215
B. 164
C. 29
D. None of these
Answer : C

Question. Sushma sells an article at a loss of 12%. If she had sold it for ₹ 50.80 more, then she would have earned a profit of 8%. Find the cost price of the article.
A. ₹ 260
B. ₹ 250
C. ₹ 254
D. ₹ 244
Answer : C

Question. A rectangular grassy land is 65 m long and 50 m broad. It is surrounded by 3 m wide path. Find the cost of gravelling the path at ₹ 2.50 per m2.
A. ₹ 1500
B. ₹ 1518
C. ₹ 1815
D. ₹ 1960
Answer : C

Question. The number of students in a school increased by 8% annually. If there are 71280 students in the school, then how many students were there last year?
A. 57640
B. 54000
C. 61320
D. 66000
Answer : D

Question. The ages of Ruchi and Suchi are in the ratio 6 : 1.
The sum of their ages is 56 years. What is the ratio of their ages after 6 years?
A. 27 : 7
B. 26 : 9
C. 25 : 3
D. 29 : 7
Answer : A

Question. In an examination, one should get 36% of the maximum marks to pass. A student obtained 113 marks and is declared fail by 85 marks. The maximum marks are ______.
A. 500
B. 550
C. 640
D. 1008
Answer : B

ACHIEVERS SECTION

Question. State 'T' for true and 'F' for false and select the correct option.
(i) Every natural number is a rational number.
(ii) Every rational number is a fraction.
(iii) Zero is not a rational number.
(iv) The reciprocal of 0 is 1/0.
    (i)     (ii)   (iii)  (iv)
A. F      T      T      F
B. T      T      T      F
C. T      F      F      F
D. T      T      F      F
Answer : C

Question. Match the following.

(P) (Q) (R) (S)
A. (i) (iv) (iii) (ii)
B. (iii) (i) (iv) (ii)
C. (ii) (iii) (i) (iv)
D. (iii) (iv) (i) (ii)
Answer : D

Question. In the given figure (not drawn to scale), if AB || CG || EF, then find
(i) 2z – x
(ii) x + 2y
      (i)   (ii)
A. 40°  220°
B. 60°  200°
C. 50°  200°
D. 40°  200°
Answer : D

Question. Study the following statements carefully and select the correct option.
Statement-I : A hall is 36 m long and 24 m broad. If allowing area of 40 m² for doors and windows, the cost of papering the walls at ₹ 8.40 per square metre is ₹ 4704, then the height of the hall is 5 m.
Statement-II : If the difference between the circumference and diameter of a circle is 154 cm, then the radius of circle is 30.93 cm.
A. Both Statement-I and Statement-II are true.
B. Both Statement-I and Statement-II are false.
C. Statement-I is true but Statement-II is false.
D. Statement-I is false but Statement-II is true.
Answer : C

Question. The given double bar graph shows the sale of mobile phones and cars from 2005 to 2008.

(i) Find the ratio of the total number of mobile phones sold in 2006 and 2008 to the total number of cars sold in 2005 and 2007.
(ii) What is the average number of cars sold from 2005 to 2008?
        (i)           (ii)
A. 8 : 13      72500
B. 13 : 16    72500
C. 8 : 13      97000
D. 16 : 17    89000
Answer : A