CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set S

MATHEMATICS

Question. Count the number of faces in the given figures.

   (a)       (b)        (c)
A. 4          4           5
B. 5          4           6
C. 4          5           6
D. 5          5           6
Answer : B

Question. Which of the following statements can be represented by the integer – 15?
A. The price of petrol is increased by ₹ 15.
B. A bird is flying at a height of 15 m above the ground.
C. The temperature is decreased by 15° C.
D. None of these
Answer : C

Question. During an annual function, the participants were divided equally among two teams, A and B. The ratio of the number of boys to the number of girls in Team A is 2 : 3 and that in Team B is 3 : 17. What is the ratio of the number of girls to the number of boys participating in the function?
A. 11 : 29
B. 17 : 23
C. 29 : 11
D. 33 : 17
Answer : C

Question. Which of the following statements is CORRECT?
A. An angle whose measure is less than the measure of a right angle is called an acute angle.
B. A perpendicular always bisects a line segment into two equal parts.
C. A quadrilateral is a five sided polygon.
D. All of these
Answer : A

Question. Three sisters leave their home at the same time. The step size of the three girls are 40 cm, 48 cm and 45 cm respectively. What is the minimum distance each should cover so that all can cover same distance in complete steps?
A. 720 m
B. 72 cm
C. 7.2 m
D. 70.2 cm
Answer : C

Question. Which of the following statements is INCORRECT?
A. The area of a rectangular children park is 396 m². It is 18 m wide. If the cost of fencing the park by wire is ₹ 75 per metre, then the total cost of fencing is ₹ 6000.
B. A square and a rectangle have the same area of 81 cm2. The length of the rectangle, if the breadth of the rectangle is one-third of the side of the square is 27 cm. 
C. If 1 cm is equal to 10 mm, then 100 square mm are there in 1 sq. cm.
D. Pawan walks twice around a rectangular field with length 30 m and breadth 25 m. If Neha walks thrice around a square field of side 40 m, then Pawan covers more distance by 260 m.
Answer : D

Question. Sourav travels 12 km 352 m by bus, 6 km 6 m by car and 420 m by walking in order to reach his office. How far is his office from his residence?
A. 187.78 km
B. 18.778 km
C. 19.779 km
D. None of these
Answer : B

Question. The number 7132510 is divisible by ______.
A. 3
B. 9
C. 11
D. 8
Answer : C

Question. Which of the following figures represents 3/4 as shaded fraction?

A. Only (i)
B. Only (ii)
C. Both (i) and (ii)
D. Both (ii) and (iii)
Answer : B

Question. Which of the following is true?
A. (235 + 198) + 498 = 235 + (198 + 498)
B. (1135 × 289) × 312 = 1135 × (289 × 312)
C. Both A and B
D. None of these
Answer : C

Question. Multiplying a negative integer for odd number of times gives ________ result.
A. Negative
B. Positive
C. 1
D. Can't say
Answer : A

Question. Which of the following figures does not have any line of symmetry?

Answer : C

Directions (a - b): The following pictograph shows the number of bikes in five states. Study the pictograph and answer the following questions.

Question a. What is the difference between the number of bikes in Gujarat and the number of bikes in Punjab?
A. 6000
B. 9000
C. 12000
D. 10500
Answer : B

Question b. Find the ratio of the number of bikes in Delhi to the total number of bikes in the five states altogether?
A. 5 : 1
B. 2 : 5
C. 3 : 5
D. 1 : 5
Answer : D

Question. Select the correct option which make the given expression true.

A. <
B. =
C. >
D. Can't be determined
Answer : C

Question. The number 7235164 can be written in International numeration system as _________.
A. Seventy two million thirty thousand one hundred sixty four
B. Seven million two hundred thirty five thousand one hundred sixty four
C. Seventy two lakh thirty five thousand one hundred sixty four
D. None of these
Answer : B

Question. Miara had 20 packets of toffees. She gave 145 toffees to her friends. She was left with 5 packets and 35 toffees. If each packet had x toffees, then the situation describes as
A. 20x + 5x = 145 + 35
B. 20x – 145 = 5x – 35
C. 20x – 5x = 145 – 35
D. 20x – 145 = 5x + 35
Answer : D

Question. Find the number of perpendicular bisector(s) drawn to a line.
A. 1
B. 2
C. 3
D. Infinite
Answer : A

Question. Manish wrote15(1/3) pages of his story on Saturday and 17(7/12) pages on Sunday. How many more pages did he write on Sunday than on Saturday?
A. 2(1/4)
B. 3(1/2)
C.  2(1/12)
D. 3(1/12)
Answer : A

Question. Select the CORRECT option. 

Answer : C

Question. Find the value.
(a) CCL + XXXVIII + CXX – LXVII
(b) CXXIX + LXII – CV + XCV
        (a)                      (b)
A. CCCLXI            CLXXI
B. CCXXLI            CLXXI
C. CCCXLI            CLXXXI
D. CCLXI              CLXI
Answer : C

Question. What is the minimum number of squares that must be shaded so that the line AB becomes a line of symmetry?

A. 7
B. 8
C. 6
D. 10
Answer : A

Question. The difference between the place values of digit 5 in the greatest and the smallest 5-digit number formed by using the digits 2, 1, 5, 7 and 3 (each digit should be used only once) is__________.
A. 6274
B. 6296
C. 4964
D. 4950
Answer : D

Question. Find the values of P, Q and R.

      P         Q          R
A. 12        17        544
B. 13        12        272
C. 15        15        272
D. 13        17        544
Answer : D

Question. Arrange the given steps in CORRECT order of constructing an angle of 120° using ruler and compass.
Step 1 : Draw any line PQ and take a point O on it.
Step 2 : Place the pointer of the compasses at O and draw an arc of convenient radius which cuts the line at A.
Step 3 : Again without disturbing the radius on the compasses and with B as centre, draw an arc which cuts the first arc at C.
Step 4 : Without disturbing radius on compasses, draw an arc with A as centre which cuts the first arc at B.
Step 5 : Join OC, ∠COA is the required angle where measure is 120°.
A. 4-1-2-3-5
B. 2-1-4-3-5
C. 1-2-4-3-5
D. 1-2-3-4-5
Answer : C

Question. The product of two numbers is 414720 and their HCF is 144. Find the LCM of two numbers.
A. 4268
B. 3290
C. 4290
D. 2880
Answer : D

Question. In the given rectangle ABCD, if length is increased by 3x and breadth is decreased by x, then find the new perimeter.

A. (18x + 6) units
B. (9x + 3) units
C. (5x + 6) units
D. (10x + 6) units
Answer : A

Question. There are 312 ducks, hens and pigs in a farm. All 32 pigs were shifted from the farm to another place. Now, the ratio of ducks and hens is 3 : 2. Find the number of ducks and hens respectively in the farm.
A. 140, 140
B. 168, 112
C. 112, 168
D. 160, 120
Answer : B

Question. Which of the following is a possible roman number?
A. XLCVII
B. DCDXLV
C. CDXLV
D. MCMVXI
Answer : C

Question. Find the number of angles formed in the given figure.

A. 5
B. 13
C. 15
D. None of these
Answer : D

Question. A fruit seller placed 18 bananas, 13 oranges and 20 apples in a fruit basket. Niharika bought 132 baskets for a function. What is the total number of fruits she bought?
A. 6732
B. 5672
C. 8692
D. 7652
Answer : A

Question. The hexagonal pyramid has _____ faces, _____ edges and _____ vertices respectively.
A. 6, 12, 6
B. 7, 10, 8
C. 7, 12, 7
D. 6, 10, 8
Answer : C

Question. Puneet's age is three times the age of his son. If the sum of their ages is 56 years, then find the difference between their ages.
A. 28 years
B. 30 years
C. 14 years
D. 20 years
Answer : A

Question. If 24, x, 36, 54 are in proportion, then find the value of x.
A. 12
B. 36
C. 18
D. 26
Answer : B

Question. The choices of the games of 35 children in a society are as follows:
C, B, F, H, C, C, B, H, H, B, F, H, B, B, C, F, C, C, B, H, H, C, B, H, F, F, H, H, C, B, C, F, H, H, B
where C, B, F and H stands for Cricket, Basketball, Football and Hockey respectively.
Which of the following games mostly liked by the children?
A. C
B. F
C. B
D. H
Answer : D

Question. The length and breadth of a rectangle is 32 m and 16 m respectively. If the perimeter of this rectangle is same as the perimeter of an equilateral triangle, then find the side of the equilateral triangle.
A. 16 m
B. 18 m
C. 28 m
D. 32 m
Answer : D

Question. Solve:
(i) A number is multiplied by 4 and decreased by 7, we get 29. Find the number.
(ii) A number x decreased by 3.4 gives 6.6. Find the value of x .
    (i)       (ii)
A. 10        9
B. 9          10
C. 8          8
D. 7          8
Answer : B

Question. Rashi earns ₹ 25,000 per month and saves ₹ 5,000 per month. Find the ratio of her :
(a) Earnings to savings
(b) Earnings to expenditure
     (a)            (b)
A. 5 : 4          5 : 1
B. 4 : 5          1 : 5
C. 5 : 1          5 : 4
D. 4 : 1          5 : 4
Answer : C

Question. A room is 7 m 20 cm long and 5 m 20 cm broad. If square tiles have to be laid in such a way that an exact number of tiles fit in and no tile has to be cut, then what is the greatest length of the side of square tiles?
A. 40 cm
B. 20 cm
C. 30 cm
D. 50 cm
Answer : A

Question. The difference between 478392 and 289150 rounded off to nearest thousand is _______.
A. 189200
B. 189000
C. 189300
D. 190000
Answer : B

Question. Solve for x : 6(2/3) of 7.26 ÷ 045 of x = 8(32/117)
A. 1/13
B. 13(1/9)
C. 13
D. None of these
Answer : C

Question. The predecessor of successor of smallest 7-digit number is _____.
A. 999999
B. 1000001
C. 9999999
D. 1000000
Answer : D

Question. Fill in the blanks.
(i) A square has P lines of symmetry.
(ii) A scalene triangle has Q lines of symmetry.
(iii) A circle has R lines of symmetry.
         P                  Q                   R
A. Two                One             Three
B. Four               Zero             Infinite
C. Three             One             Two
D. Four               One             Two
Answer : B

Question. On a day in Srinagar, the temperature at 7 p.m. was 5 °C but at midnight, on the same day, it dropped to – 4 °C. The fall in temperature was _______
A. 4 °C
B. 9 °C
C. 8 °C
D. 10 °C
Answer : B

Question. If the two numbers are divisible by a number, then their ______ is also divisible by that number.
A. Sum
B. Product
C. Difference
D. All of these
Answer : D

ACHIEVERS SECTION

Question. Simplify : (i) From the sum of x/2 + y/3 + z/4 and 2x/3 + 3y/4 + 4x/5 subtract x/6 + y/12 + z/20.
(ii) 5x – [4x – {(2x – 5) – 3(3x – 4)}]
        (i)                      (ii)
A. x + y + z           7 – 6x
B. x + y – z            6x – 7
C. 2(x + y + z)      7 – 5x
D. 2(x + y – z)       5x – 7
Answer : A

Question. Read the statements carefully and state ‘T’ for true and ‘F’ for false.
(P) A square pyramid has 5 faces, 5 vertices and 8 edges.
(Q) A right angle is 1/3 of a revolution.
(R) Angle made by a minute hand in 45 minutes is 135°.
(S) Triangular prism and rectangular pyramid have same number of faces.
   (P)        (Q)     (R)     (S)
A. F         T         T         F
B. T         F         F         T
C. T         F         T         F
D. F         F         T         T
Answer : B

Question. A rectangular plot of land is 240 m long by 200 m wide. The cost of fencing the plot per metre is ₹ 30. Find
(i) The area of the land.
(ii) The cost of fencing the land when fencing is done four times around the land.
         (i)                           (ii)
A. 56200 m²            ₹ 26400
B. 48000 m²            ₹ 105600
C. 48000 m²            ₹ 13200
D. 56400 m²            ₹ 13200
Answer : B

Question. Study the given number line carefully and match the columns.

     Column-I               Column-II
(a) A + B =                  (1) –3
(b) BD =                     (2) –15/4
(c) D – A =                 (3) 3/5
(d) B/C =                   (4) 81/8
A. (a) → (2); (b) → (1); (c) → (3); (d) → (4)
B. (a) → (3); (b) → (2); (c) → (1); (d) → (4)
C. (a) → (3); (b) → (4); (c) → (1); (d) → (2)
D. (a) → (2); (b) → (4); (c) → (1); (d) → (3)
Answer : D

Question. The given bar graph shows the number of people who like different beverages.

Read the graph carefully and fill in the blanks.
(a) P beverage is liked by the least number of people.
(b) The difference between the number of people who like Green Tea and Black Tea is Q 
(c) If total expenditure for preparing Iced Tea (given on above graph) is ₹ 432, then the cost of one cup of Iced Tea is ₹ R .
          P                    Q             R
A. Iced Tea               6            18
B. Lemon Tea          4            18
C. Green Tea           6            18
D. Green Tea           8            12
Answer : B