CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set R

MATHEMATICS

Question. The figure below is made up of 4 overlapping squares. Find the perimeter and the area of the figure.

   Perimeter           Area
A. 117 cm²            60 cm
B. 60 cm               117 cm²
C. 60 cm²             117 cm
D. 117 cm             60 cm²
Answer : B

Question. If 3 is a factor of x and 72 is a multiple of x, then which of the following cannot be the value of x?
A. 6
B. 12
C. 8
D. 18
Answer : C

Question. Arrange the following fractions in descending order.

A. Q, P, R, S, T
B. T, S, R, P, Q
C. S, T, P, R, Q
D. Q, R, P, T, S
Answer : A

Question. Find the difference between the greatest and the smallest 9-digit number formed by using the given digits (Use each digit at least once).

A. 500,998,889
B. 588,998,779
C. 599,980,851
D. 599,988,051
Answer : C

Question. Find the sum of P, Q, R and S.

A. 8
B. 10
C. 4
D. 6
Answer : A

Question. What is the difference between the place value of 4 and 3 in 146.306?
A. 38
B. 39.7
C. 35.7
D. 36.5
Answer : B

Question. Nisha made a mistake when multiplying the two fractions 7/9 and 6/13 and got the result 1 more than the actual correct result. Find the result obtained by Nisha.
A. 46/39
B. 53/39
C. 43/39
D. 54/39 
Answer : B

Question. Which number sentence is shown by the given number line?

A. –8 + 10 – 5
B. – 2 + 8 – 3
C. –8 + 2 + 3
D. 2 – 3 – 8
Answer : A

Question. Which of the following situations best describes for (6 × 10) + (6 × 9)?
A. If cost of 10 notebooks is ₹ 6 and cost of 6 notebooks is ₹ 9, then find the total cost.
B. Sam and Trishu work for 10 and 9 days respectively. If both earns ₹ 6, find the total amount they earn.
C. If cost of 6 pens and 9 erasers are ₹ 10 each and ₹ 6 each, then find the total cost.
D. None of these
Answer : C

Question. Three mugs contains 1401 mL, 1434 mL and 1464 mL of water respectively. Find the maximum capacity of the mug that can exactly measure the water of the three mugs?
A. 7 mL
B. 3 mL
C. 1 mL
D. 5 mL
Answer : B

Question. Find the pair of equivalent fraction of shaded parts.

A. (a) and (e)
B. (b) and (e)
C. (a) and (c)
D. None of these
Answer : A

Question. The given pie chart shows how Latika spent her monthly salary after saving 25% of it.
What percentage of Latika’s salary was spent on Entertainment?

A. (75/8)%
B. 9%
C. 12%
D. (73/4)%
Answer : A

Question. The given figure is made up of 4 squares, each of side 4 cm. Find the area of the shaded triangle.

A. 18 cm²
B. 24 cm²
C. 18 cm
D. 6 cm²
Answer : B

Question. Mrs Kapoor had x eggs. She used 10 eggs to bake a cake and half of total number of eggs gave to her neighbour. How many eggs are left with her ?
A. (10-x/2)
B. (x/2-10)
C. (10 – x)
D. (x – 10)
Answer : B

Question. There are two numbers. One is 5 times the other.
They have 6 common factors. Three of the common factors are 1, 4, 12.
(a) What are the other common factors?
(b) What are the numbers?
       (a)                   (b)
A. 2, 3, 6          12 and 60
B. 3, 6, 9          18 and 90
C. 2, 3, 5          15 and 75
D. 2, 7, 6          14 and 70
Answer : A

Question. Pooja has a number of ₹ 500 and ₹ 2000 notes in the ratio of 10 : 7. The total value of all the notes is ₹ 38,000. What is the total value of ₹ 500 notes?
A. ₹ 10,000
B. ₹ 28,000
C. ₹ 14,000
D. ₹ 16,000
Answer : A

Question. If x/y = 5/4, then the value of (4/7+2x-y/2x+y) is
A. 1
B. 1/7
C. 2/7
D. 3/7
Answer : A

Question. Find the value of P and Q.
(i) 125 cm : 20 m : : ₹ P : 64000 paise
(ii) 4 L : 2000 mL : : ₹ 400 : Q paise
     P                      Q
A. 40                  20000
B. 100                10000
C. 200                4000
D. 400                2000
Answer : A

Question. Find the value of

in decimal form.
A. 4.05
B. 4.5
C. 40.5
D. 40.05
Answer : A

Question. Neha has to type a 10 page document. Each page contains an average of 960 words. How long will she take to type the whole document if she type at the rate of 50 words per minute?
A. 3 hours
B. 3 hours 20 seconds
C. 3 hours 20 minutes
D. 3 hours 12 minutes
Answer : D

Question. Find the value of (2x²/8+5x-8)x(x²/4+2x-4) when x = 2.
A. 3
B. 4
C. 5
D. –2
Answer : A

Question. Sanchi mixes 100 mL of fruit juice and 250 mL of water to prepare 5 cups of fruit punch. Which of the following shows the right proportion of fruit juice and water, if she makes 12 cups of fruit punch?
   Fruit Juice             Water
A. 360 mL                 600 mL
B. 600 mL                 240 mL
C. 200 mL                 500 mL
D. 240 mL                 600 mL
Answer : D

Question. Arun sold (4k + 1) tickets on Monday. He sold (k + 1) more tickets on Tuesday than on Monday. If the total cost of tickets sold on Monday and Tuesday is ₹ R, then cost of each ticket is ₹ ______.
A. 9k+3/3
B. 3(3k +1)/R
C. R/9k + 3
D. 3(3k+1)×R/3
Answer : C

Question. The admission fee to the dance class is ₹ 4500.
The admission fee to the music class is ₹ 3500. If 10 students take the admission in dance class and 5 students take the admission in music class, then total admission fee collected is________.
A. ₹ 62,500
B. ₹ 8,000
C. ₹ 45,000
D. ₹ 35,000
Answer : A

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

A. 7
B. 5
C. 6
D. 8
Answer : C

Question. Which of following solid object has two triangular and three rectangular faces?

Answer : A

Question. Which of the following statements is correct?
A. 216546 is divisible by 3 and 9 both.
B. 216546 is divisible by 2 but not divisible by 3.
C. 216546 is divisible by both 2 and 3 but not divisible by 6.
D. 216546 is divisible by 3 but not by 4.
Answer : D

Question. 55/3216 is equal to

Answer : B

Question. The approximate value of 0.3333 × 0.25 × 0.499 × 0.125 × 24 is______.
A. 1/8
B. 3/4
C. 3/8
D. 2/5
Answer : A

Question. Find the area of the given figure.

A. 28.25 cm²
B. 44.25 cm²
C. 41.35 cm²
D. None of these
Answer : D

Question. Which of the following number line correctly represents –8 + 2?

Answer : A

Question. Garima bought following items to prepare Manchurian.
Items Onion Cabbage Flour Carrot Capsicum Bread crumps Weight 1.2 kg ? 500 g 2.3 kg 1.5 kg 250 g 

If she bought 10 kg weight, then how much cabbage she bought?
A. 4.25 kg
B. 3.50 kg
C. 3.75 kg
D. 4.75 kg
Answer : A

(Direction a - b) : The graph shows the different types of food enjoyed by some children during picnic.

Question. How many more children like pizza and parantha together than of burger and parantha together?
A. 5
B. 4
C. 6
D. 7
Answer : A

Question. What fraction of the total children like sandwich?
A. 4/69
B. 14/69
C. 22/68
D. 8/79
Answer : D

Question. Water boils at 212°F or 100°C and freeze at 32°F or 0°C. If the temperature of a particular day is 25°C, then it is equivalent to :
A. 77°F
B. 62°F
C. 112°F
D. 92°F
Answer : A

Question. The number of digits in numbers 20 millions and 23 crores will be respectively______.
A. 8 and 9
B. 9 and 8
C. 7 and 8
D. 8 and 7
Answer : A

Question. Find the value of 45 + 3{34 −18 −14} ÷ 3 [17 + 3 × 4 – (2 × 7)] + 20 – 2(5 – 4) × {3 – (5 – 3)}.
A. 65
B. 46
C. 35
D. 26
Answer : A

Question. When a group of students were formed into groups of 5 or 6, one student was left out on both occasions.
When they were grouped as groups of 7, nobody was left out. What is the least number of students in the group?
A. 91
B. 85
C. 84
D. 63
Answer : A

Question. By how much is the difference of 166.2 and 902.5 less than their sum?
A. 332.4
B. 323.4
C. 331.2
D. 333.4
Answer : A

Question. The rent of an apartment for 3 months is ₹ 5700.
What is the rent of the apartment for two years?
A. ₹ 50,000
B. ₹ 45,600
C. ₹ 57,000
D. ₹ 1,71,000
Answer : B

Question. Following are the steps of construction of an angle of 120°. Identify the wrong step.
(i) Draw a ray AB.
(ii) With A as centre and a convenient radius, draw an arc to intersect AB at X.
(iii) With X as the centre, draw an arc with the same radius to intersect the above arc at C.
(iv) With C as centre, again draw an arc to intersect the first arc at D.
(v) Draw ray AC. ∠CAB is the required angle of measure 120°.
A. (iii) and (v) only
B. (iv) only
C. (i) and (iv) only
D. (v) only
Answer : D

Question. The figure below is made up of a square ABCD and two semicircles. Find the perimeter of the shaded part. (Take π = 3.14)

A. 10.28 cm
B. 26.56 cm
C. 20.56 cm
D. 21.56 cm
Answer : C

Question. If today is Friday, than what day of the week will it be 301 days from now?
A. Saturday
B. Friday
C. Wednesday
D. Thursday
Answer : D

Question. Which of the following is the correct arrangement of ascending order?
A. 323.3, 33.23, 3.332, 3.323, 3.233
B. 3.233, 3.323, 3.332, 33.23, 323.3
C. 3.233, 3.323, 3.332, 323.3, 33.23
D. 323.3, 33.23, 3.332, 3.233, 3.323
Answer : B

Question. Compare and put the sign ‘<’, ‘>’ or ‘=’ in the box.
(i) 5 kL ⬜ 5,000,000 mL
(ii) 2.5 kg ⬜ 2850 g
(i) (ii)
A. > >
B. < <
C. > =
D. = <
Answer : D

ACHIEVERS SECTION

Question. Rectangle P and square Q are put together to make rectangle R. The breadth of rectangle P is half of length of rectangle P. Each side of square Q is equal to the breadth of rectangle P. Also, given that length of rectangle P is 10 cm.
(i) Find the perimeter of rectangle R.
(ii) Find the difference between the area of rectangle P and R.
        P              Q                 R
       (i)                                 (ii)
A. 50 cm                          30 cm²
B. 40 cm                          25 cm²
C. 25 cm                          70 cm²
D. 30 cm                          50 cm²
Answer : B

Question. Find the value of P, Q, R and S.
(i) Largest 7-digit number + 1 = P .
(ii) Ten million = 1 followed by Q zeroes.
(iii) 1 million = 1 followed by R zeroes = S lakhs.
            P               Q         R         S
A. 9999999           6         7         10
B. 10000000         7         6         10
C. 9999999           7         7         1
D. 10000000         6         6         1        
Answer : B

Question. Match the columns.
         Column I                   Column II
P. 3x + 15 = 5x + 5             (i) x = 40
Q. 4x+1/7 = 3x5-5              (ii) x = – 8
R. 5(x – 1) + 3 = 2(x + 11) (iii) x = 5
S. 2(x – 2) – 1 = 4(x + 2) + 3 (iv) x = 8
A. P → (i), Q → (ii), R → (iii), S → (iv)
B. P → (iii), Q → (i), R → (iv), S → (ii)
C. P → (iii), Q → (iv), R → (i), S → (ii)
D. P → (i), Q → (iii), R → (iv), S → (ii)
Answer : B

Question. 46a7b2 is a 6-digit number in which a and b are two digits. This number is divisible by 9. Find the
(i) Least value of a + b.
(ii) Maximum value of a + b.
     (i)         (ii)
A. 8          17
B. 9          18
C. 8          18
D. 8          15
Answer : A

Question. Read the statements carefully and state ‘T’ for true and ‘F’ for false.
(i) The amount of interest earned is proportional to the principal, if the rate and time period are the same.
(ii) In ratio, the first term is known as consequent and the second term is known as antecedent.
     (i)         (ii)
A. T            F
B. F           T
C. T           T
D. F           F
Answer : A