CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set T

MATHEMATICS

Question. If 3x = 2k and 5y = 8k, then find the ratio x : y.
A. 12 : 5
B. 7 : 11
C. 5 : 12
D. 11 : 7
Answer : C

Question. Find the value of 888(1/5) + 888(2/5) + 888(3/5) + 888(4/5) .
A. 4442
B. 222(1/5)
C. 342(1/5)
D. 3554
Answer : D

Question. The algebraic expression for the statement “The difference between a number ‘x’ and its three fourth is 70” is _________.
A. x − (x/3)x = 4
B. 70 - (3/4)x = x
C. (3/4)x − x = 70
D. 70 - x = (4/3)x
Answer : C

Question. The ratio of the number of boys and girls of a school with 504 students is 13 : 11. What will be the new ratio of boys to girls, if 12 more girls take admission in the school?
A. 91 : 81
B. 81 : 91
C. 9 : 10
D. 10 : 9
Answer : A

Question. Find the minimum number of squares that must be shaded so that the given figure has a line of symmetry.

A. 2
B. 3
C. 4
D. 5
Answer : B

Question. Find the least number which when decreased by 4 is exactly divisible by 10, 15, 20 and 25.
A. 296
B. 300
C. 304
D. 205
Answer : C

Question. How many unit cubes are added to the solid on the left to obtain the solid on the right?

A. 2
B. 5
C. 4
D. 6
Answer : B

Question. Which of the following options is correct?
A. The successor of largest five digit number is 99998.
B. When we multiply a whole number and the multiplicative identity of whole numbers, we get the number itself.
C. When two negative integers are added, we get a positive integer.
D. None of these
Answer : B

Question. Two vessels contain 104 litres and 91 litres of water respectively. Find the measure of a bucket of maximum capacity which can measure the water of both vessels exactly.
A. 13 litres
B. 7 litres
C. 26 litres
D. 18 litres
Answer : A

Question. The sides of a triangle are in the ratio 2 : 3 : 4. If its perimeter is 54 cm, then find the length of the largest side of the triangle.
A. 15 cm
B. 12 cm
C. 24 cm
D. 18 cm
Answer : C

Question. The number of faces, vertices and edges of the given figure are ______, ______ and ______ respectively.

A. 4, 4, 6
B. 5, 7, 9
C. 5, 6, 9
D. 6, 5, 8
Answer : A

Question. Find the value of (P – Q) + (R × S).

A. 6
B. 1/5
C. 2/5
D. 3/5
Answer : A

Direction (a - b) : The given bar graph shows the different modes of transport used by students to travel to school each day. Study the given bar graph carefully and answer the following questions.

Question. Which of the following is the most popular mode of transport?
A. Bus
B. Car
C. Bike
D. Train
Answer : D

Question. How many less students used bus to travel than cycle?
A. 30
B. 45
C. 50
D. 35
Answer : B

Question. Which of the following should be subtracted from 8x + 2y – 15 to get 5x – 6y – 5?
A. 2x + 8y – 10
B. 3x – 8y + 10
C. 3x + 8y – 10
D. 2x – 5y + 10
Answer : C

Question. Sakush bought 2 shirts costing ₹ 725.25 each and a pair of trouser costing ₹ 999.50. Find the total amount spent by him.
A. ₹ 3449.50
B. ₹ 2450
C. ₹ 1724.75
D. None of these
Answer : B

Question. Find the value of (–21.2) + 126.80 ÷ 8 – 20.2 – (–7) × 0.
A. –20.5
B. 18.20
C. –25.55
D. 17.95
Answer : C

Question. Which of the following figures have equivalent shaded fraction?

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

Question. A marble tile measures 15 cm × 4 cm. How many tiles will be required to cover a wall of size 5 m × 3 m?
A. 2500
B. 1250
C. 150
D. 120
Answer : A

Question. Sakshi has to read a book containing 250 pages. Each page contains an average of 10 lines. How long will she take to read the whole book, if she reads at the rate of 5 lines per minute?
A. 8 hours
B. 8 hours 20 seconds
C. 8 hours 20 minutes
D. 8 hours 12 minutes
Answer : C

Question. An NGO organised a three days program to collect money for education of poor children. If the money collected on the first, second and third day are ₹ 40275.25, ₹ 20265.50 and ₹ 30204 respectively, then find the total money collected on all the three days.
A. ₹ 82520
B. ₹ 79872.25
C. ₹ 90744.75
D. None of these
Answer : C

Question. The number 7265410 is not divisible by _______.
A. 3
B. 6
C. 9
D. All of these
Answer : D

Question. In a school, there are 120 students out of which 75 are girls. Also, there are 12 teachers out of which 8 teachers are male. Find the ratio of the number of boys to the number of male teachers.
A. 45 : 8
B. 75 : 8
C. 8 : 45
D. 8 : 75
Answer : A

Question. The length, breadth and height of a room are 7 m 70 cm, 5 m 50 cm and 4 m 40 cm respectively. Find the greatest length of a tape which can be used to measure the dimensions of the room in exact number of times.
A. 1 m 10 cm
B. 1 m 30 cm
C. 1 m 45 cm
D. 1 m 25 cm
Answer : A

Question. The number 31250123 can be written in International System of Numeration as
A. Thirty one million five hundred one thousand one hundred twenty three
B. Three crore twelve lakh fifty thousand one hundred twenty three
C. Thirty one million two lakh fifty thousand one hundred twenty three
D. None of these
Answer : D

Question. The area of the unshaded region in the given figure is ____.

A. 225 m²
B. 125 m²
C. 144 m²
D. 100 m²
Answer : D

Question. Some trees were planted at equal distances along a straight road. The distance between the first and the fifth tree is 20 m. Find the distance between the third and the eighth tree.
A. 20 m
B. 35 m
C. 45 m
D. 25 m
Answer : D

Question. If the perimeter of the given figure (not drawn to scale) is 30.4 cm, then x + y = _______.

A. 3.5 cm
B. 4.7 cm
C. 4.4 cm
D. 3.2 cm
Answer : B

Question. Which of the following expressions correctly represents the number on the given number line?

A. 5 – 4 + 1
B. 5 – 2 + 1
C. – 5 + 2 + 1
D. – 5 – 2 – 1
Answer : C

Question. Water boils at 212°F or 100°C and freezes at 32°F or 0°C. If the temperature of a particular day is 40°C, then it is equivalent to ______. Use: C = (F - 32) × 5/9
A. 45°F
B. 60°F
C. 104°F
D. 75°F
Answer : C

Question. Sneha is 20 years old. 10 years ago, Tarun was 2x times older than Sneha. What will be their total age after 5 years from now?
A. (20 + x) years old
B. (40 + 30x) years old
C. (40 + 20x) years old
D. (15 + 10x) years old
Answer : C

Question. Kirti and Pankaj have office space of the same size. Kirti’s office is 3/4 full of books and Pankaj’s office is 4/5 full of books. Whose office has less free space and by how much?
A. Kirti, 1/20
B. Pankaj, 1/20
C. Pankaj, 1/25
D. Kirti, 1/25
Answer : B

Question. Which of the following are open curves?

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

Question. Which of the following describes the given triangle (not drawn to scale)?

A. Isosceles, acute
B. Equilateral, acute
C. Scalene, right
D. Equilateral, obtuse
Answer : C

Question. If 61*82 is divisible by 11, then the least value of * is _______.
A. 0
B. 1
C. 2
D. 4
Answer : B

Question. Find the value of x, if 7x – 6 – 18 = 4x + 5 – 11.
A. 6
B. 7
C. 8
D. 9
Answer : A

Question. What direction will Aakash face, if he starts facing North and makes a 3/4 of a revolution clockwise?
A. North-East
B. East
C. West
D. South-West
Answer : C

Question. Which of the following options is correct?
A. 2102 – (–1250) < (284) – (–1206)
B. 3029 – 5 – 1028 > 4268 – 320
C. 1269 + (–1000) < 2184 + (–2000)
D. –777 + (–1050) < 555 – 890
Answer : D

Question. Arrange the following steps of constructing an angle of 120°.
Step-1 : Again with C as centre, without changing the radius, draw one more arc. Both arcs intersect at D.
Step-2 : Draw a ray OD with O as initial point through the point D.
Now, measure ∠DOA = 120°.
Step-3 : Draw a ray OA.
Step-4 : Now, without changing the radius, keeping B as centre, draw an arc. Both the arcs intersect at a point C.
Step-5 : With O as centre, draw an arc cutting OA at B.
A. Step-3, Step-4, Step-5, Step-1, Step-2
B. Step-3, Step-5, Step-4, Step-1, Step-2
C. Step-3, Step-4, Step-5, Step-2, Step-1
D. Step-2, Step-1, Step-4, Step-5, Step-3
Answer : B

Question. Find the share of A, B and C respectively, if ₹ 4340 is divided in A, B, C in the ratio 1/2 : 1/3 : 1/5.
A. ₹ 2100, ₹ 1400, ₹ 840
B. ₹ 1400, ₹ 2100, ₹ 840
C. ₹ 840, ₹ 2100, ₹ 1400
D. ₹ 1400, ₹ 840, ₹ 2100
Answer : A

Question. Study the given figure carefully and answer the following question.

Which of the following statements are true?
P. 2/3 of the stars are shaded.
Q. 3/5 of the circles are crossed.
R. 5/13 of the total shapes are shaded.
A. Only P
B. Both Q and R
C. Both P and R
D. P, Q and R
Answer : B

Question. How many more triangular units must be unshaded so that 3/4 of the given figure is unshaded?

A. 7
B. 9
C. 12
D. 20
Answer : B

Question. Ashmit buys 25 laptops and 10 printers for his office.
If a laptop costs ₹ 21240 and a printer costs ₹ 5490, then find the total money spent by him.
A. ₹ 654250
B. ₹ 725000
C. ₹ 585900
D. ₹ 476200
Answer : C

Question. How many right angles does the minute hand form from 3 a.m. to 6 a.m.?
A. 12
B. 8
C. 3
D. 4
Answer : A

Question. The given data shows the number of boys in classes V to X of a school.

What is the difference between the number of boys in class VI and class IX?
A. |
B. ||||
C. ||
D. |||
Answer : A

ACHIEVERS SECTION

Question. Read the following statements carefully and select the correct option.
Statement-I : A number for which sum of all its factors is equal to the twice of the number is called a perfect number.
Statement-II : If a number is divisible by another number, then it is divisible by each of the factors of that number.
A. Both Statement-I and Statement-II are true.
B. Statement-I is true but Statement-II is false.
C. Statement-I is false but Statement-II is true.
D. Both Statement-I and Statement-II are false.
Answer : A

Question. The given table shows the number of pizzas sold by a shop in a particular week. If n = 50, then how many more pizzas did the shop sell on Saturday and Sunday together than on Monday?

A. 86
B. 146
C. 174
D. 92
Answer : B

Question. Match the statements given in Column-I with their corresponding equations given in Column-II and select the correct option.

A. (i) → (q); (ii) → (p); (iii) → (r)
B. (i) → (q); (ii) → (r); (iii) → (p)
C. (i) → (p); (ii) → (r); (iii) → (q)
D. (i) → (p); (ii) → (q); (iii) → (r)
Answer : B

Question. State ‘T’ for true and ‘F’ for false and select the correct option.
(i) Fractions can never be reduced to lowest form.

(iii) The set of fractions 13/35, 7/15, 11/21 are arranged in descending order.
   (i)          (ii)      (iii)
A. T           F        F
B. T           T        F
C. F          T        F
D. F          F        T
Answer : C

Question. A rectangular sheet of paper is folded as shown below.

Find:
(i) The area of the rectangular piece of paper if unfolded.
(ii) The perimeter of rectangular piece of paper if unfolded.
         (i)                     (ii)
A. 200 cm²           60 cm
B. 800 cm²           120 cm
C. 800 cm²           60 cm
D. 400 cm²           120 cm
Answer : B