CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set M

SECTION I : LOGICAL REASONING

Question. Which set of numbers follows the rule similar to the given set ?
(52, 39, 13)
(A) (48, 44, 10)
(B) (68, 51, 17)
(C) (48, 24, 12)
(D) (71, 57, 19)
Answer : B

Question. How many English alphabets do not change their image, when mirror is placed either vertically left or right ?
(A) 10
(B) 11
(C) 9
(D) 12
Answer : A

Question. Group the given figures into three classes on the basis of identical properties.

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

Question. Find the missing character from among the given alternatives

(A) 19
(B) 23
(C) 25
(D) 31
Answer : D

Question. How many faces does the given figure have ?

(A) 4
(B) 5
(C) 6
(D) 7
Answer : B

Question. What fraction of the children in the given group are girls ?

(A) 15/32
(B) 1/2
(C) 15/34
(D) 1/4
Answer : B

Question. How many onefourths need to be added to 2(1/4) to make 4 ?
(A) 3
(B) 4
(C) 5
(D) 7
Answer : D

Question. Count the number of cubes in the given figure ?

(A) 14
(B) 12
(C) 10
(D) 13
Answer : D

Question. If FASHION is coded as NFOAISH, how will TRITIES be coded in that language ?
(A) STERITI
(B) STERIIT
(C) STERTII
(D) STREIIT
Answer : B

Question. If '÷' means '–' ; '–' means 'x' ; 'x' means '+' and '+' means '÷', then 60 x 20 ÷ 60 + 100 – 40 = ?
(A) 56
(B) 46
(C) 77.6
(D) 60
Answer : A

Question. Find the missing number in the given figure.

(A) 38
(B) 66
(C) 86
(D) 90
Answer : C

Question. Today is Wednesday. The day after 16 days will be ____ .
(A) Wednesday
(B) Thursday
(C) Friday
(D) Saturday
Answer : C

Question. Study the diagram and identify the students who like all singing, dancing and painting.

(A) P, Q, R
(B) U, V, S, T
(C) Only V
(D) U, S, T
Answer : C

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

(A) 21
(B) 22
(C) 20
(D) 23
Answer : B

Question. In the given problem, out of the five figures marked P, Q, R, S and T, four are similar in a certain manner. However one figure is not like the other four. Choose the figure which is different from the rest.

(A) P 
(B) Q
(C) R
(D) S
Answer : B

Question. Choose a figure amongst the option figures, which will continue the given problem figures.

Answer : C

Question. A cubical die has ____ faces, ____ vertices and ____ edges respectively.
(A) 6, 8, 12
(B) 8, 6, 12
(C) 6, 12, 8
(D) 12, 8, 6
Answer : A

Question. A person travels 12 km north, then 15 km east, after that 15 km west and then 18 km south. How far is he from the starting point ?
(A) 6 km
(B) 12 km
(C) 33 km
(D) 60 km
Answer : A

Question. How many numbers lie between 300 and 400 in which 4 comes only one time ?
(A) 18
(B) 19
(C) 17
(D) 20
Answer : A

Question. What comes next in the number pattern given below ?
1, 4, 27, 256, __? __
(A) 3125
(B) 3215
(C) 1235
(D) 1325
Answer : A

SECTION II : MATHEMATICAL REASONING

Question. Raju is 22 years old and Rohit is 19 years old. Write the difference of their ages in Roman system.
(A) III
(B) XXDI
(C) XXXLII
(D) XXXLL
Answer : A

Question. If X : 95 = 51 : 85, then the value of X is ____.
(A) 95
(B) 76
(C) 114
(D) 57
Answer : D

Question. Find ∠k.

(A) 26° 85°
(B) 69°
(C) 85°
(D) 95°
Answer : B

Question. Which of the following options represents the value of P + Q shown by number line.

(A) 6(2/7)
(B) 3(6/7)
(C) 4(6/7)
(D) 3(2/7)
Answer : A

Question. What is the missing number in the box ?
(69 ÷ 3) + 23 x 56 = ⬜ x 3.
(A) 437
(B) 473
(C) 374
(D) 347
Answer : A

DIRECTION (a - b) : The given figure is formed by a circle of diameter 28 cm and an isosceles triangle.
Study the given figure and answer the following questions. (Take π = 22/7)

Question a. Find the difference in area between the two shaded parts.
(A) 84 cm²
(B) 48 cm²
(C) 80 cm²
(D) 40 cm²
Answer : A

Question b. Difference between the unshaded and shaded area of the given figure is _____ .
(A) 364 cm²
(B) 346 cm²
(C) 372 cm²
(D) 380 cm²
Answer : A

Question. In the given figure (not drawn to scale), ABCD is a rhombus and CGEF is a square. Find ∠Y.

(A) 30°
(B) 50°
(C) 60°
(D) 70°
Answer : C

Question. Express 27 minutes as a percentage of 3 hours.
(A) 15%
(B) 20%
(C) 25%
(D) 30%
Answer : A

Question. What is the missing number in the box ?
1/3 : 4/5 = 5 : 
(A) 10
(B) 11
(C) 12
(D) 13
Answer : C

Question. Find the value of (24 – 16) x 8 – 64 ÷ (10 – 2) + 4.
(A) 60
(B) 65
(C) 70
(D) 75
Answer : A

Question. The number 70169803 is divisible by
(A) 2
(B) 3
(C) 9
(D) 11
Answer : D

Question. ___ is the smallest odd composite number.
(A) 3
(B) 7
(C) 9
(D) 1
Answer : C

Question. The _________ of a given whole number is 1 more than the given number.
(A) Predecessor
(B) Successor
(C) Inverse
(D) Identity
Answer : B

Question. Which number is equal to (0.1/0.01+0.01/0.1)?
(A) 10.1
(B) 1.10
(C) 1.01
(D) 10.01
Answer : A

Question. If negative sign precedes a bracket the sign of the terms inside the bracket will ______ when the bracket is removed.
(A) Not change
(B) Change
(C) Remain the same
(D) None of these
Answer : B

Question. Perimeter of the given figure is _____.

(A) 67.32 cm
(B) 68.1 cm
(C) 86.3 cm
(D) 68.3 cm
Answer : D

Question. The simplified value of 2(1/2) + 3(5/7) X 3/13 - 1/2 ÷ 4 is
(A) 188/56
(B) -(181/56)
(C) -3(13/56)
(D) 3(13/56)
Answer : D

Question. L.C.M. of two prime numbers x and y (x > y) is 161. The value of 3y – x is
(A) –2
(B) –1
(C) 1
(D) 2
Answer : A

Question. Find the missing number

(A) 7/6
(B) 6/7
(C) 1
(D) 2
Answer : B

SECTION III : EVERYDAY MATHEMATICS

Question. Rajeev buys goods worth ₹ 6650. He gets a rebate of 6% on it. After getting the rebate, he pays sales tax @ 10%. Find the amount he will have to pay for the goods.
(A) ₹ 6876.10
(B) ₹ 6999.20
(C) ₹ 6654
(D) ₹ 7000
Answer : A

Question. In a quiz programme the ratio of correct answers to incorrect answers is 7 : 4. If 12 incorrect answers are given then the ratio of total number of questions to the correct answers respectively is ____.
(A) 11 : 7
(B) 7 : 11
(C) 9 : 11
(D) 11 : 9
Answer : A

Question. 80 students of the same height stand with both hands stretched all along the sides of a rectangular garden, each student covering a length of 1.75 m. Then the perimeter of the garden is ____ .
(A) 1400 m
(B) 140 m
(C) 14 m
(D) 1400 km
Answer : B

Question. Ravi wrote two digits of a 3–digit number on the blackboard as shown below.
                                        6 ? 6
Find the missing digit if it has 13 and 26 as factors ?
(A) 2
(B) 4
(C) 6
(D) 7
Answer : D

Question. Number of boys in a class are 27 and the girls are 19. Write the total strength of the class.
(A) XLV
(B) XLIV
(C) XLVI
(D) XXI
Answer : C

Question. A tailor has 37.5 metres of cloth and he has to make 8 pieces out of a metre of cloth. How many pieces can he make out of this cloth ?
(A) 320
(B) 360
(C) 400
(D) 300
Answer : D

Question. A student was asked to solve the fraction 

and his answer was 1/4 . By how much was his answer wrong ?
(A) 1
(B) 1/55
(C) 1/220
(D) 47/44
Answer : D

Question. 5 out of 2250 parts of earth is sulphur. What is the percentage of sulphur in earth ?
(A) 11/50
(B) 2/9
(C) 1/45
(D) 2/45
Answer : B

Question. Gaurav obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks ?
(A) 65
(B) 69
(C) 76
(D) 75
Answer : D

Question. A 70 cm long wire is to be cut into two pieces such that one piece will be 2/5 as long as the other.
How many centimetres will the shorter piece be ?
(A) 10
(B) 14
(C) 20
(D) 28
Answer : C