CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set A

LOGICAL REASONING

Question. P, Q, R, S and T are five friends sitting around a pentagonal park facing O as shown below.

If P and T interchange their positions & Q and R interchange their positions, then which of the following is true?
A. R is to the left of P.
B. Q is second to the right of R.
C. T is second to the left of P.
D. S is to the right of T.
Answer : C

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

A. 3
B. 4
C. 5
D. None of these
Answer : C

Question. Arrange the following words in the sequence in which they occur in the dictionary.
1. Select 2. Seldom
3. Send 4. Selfish
5. Seller
A. 1, 2, 4, 5, 3
B. 2, 1, 5, 4, 3
C. 2, 1, 4, 5, 3
D. 2, 5, 4, 1, 3
Answer : C

Question. Using the below table, identify the correct expression.

A. 17 Q 8 S 9 P 18 R 2 = 46
B. 18 S 30 R 6 Q 5 P 0 = 85
C. 27 Q 10 R 5 S 4 P 3 = –32
D. All of these
Answer : B

Question. Find the missing character in the given pattern.

A. 164
B. 324
C. 224
D. 364
Answer : B

Question. If F = 6 and LAMB = 7, then HOTEL = _____.
A. 72
B. 60
C. 12
D. 18
Answer : C

Question. Find the missing figure so that the series formed by problem figures is continued.

Answer : B

Question. P, Q, R and S are playing cards. P, R and Q, S are partners. If Q is in the North of S and P is in the West of R, then the position of R with respect of S is ____.
A. North-East
B. North-West
C. South
D. North
Answer : A

Question. Select the correct mirror image of given below combination, if the mirror is placed vertically to the left?

Answer : A

Question. Given below is the generation tree of X. He has ____ great grandsons

A. 7
B. 0
C. 4
D. 14
Answer : B

Question. Identify the shape which is not exactly embedded in Figure (X).

Answer : A

Question. Given below is a set of three figures X, Y, Z showing a sequence of folding of a piece of paper. Fig. (Z) shows the manner in which the paper has been cut. 
Select the figure from the options which shows the unfolded form of the paper.

Answer : B

Question. Count the number of quadrilaterals of same size used to draw the given figure.

A. 9
B. 8
C. 10
D. 18
Answer : A

Question. What is the sum of numbers which belongs to only two figures in the given Venn diagram?

A. 23
B. 28
C. 26
D. 27
Answer : A

Question. If

Answer : D

MATHEMATICAL REASONING

Question. The difference between place values of digit 5 in 456.385 is _____.
A. 49995
B. 499.95
C. 49.995
D. 49.999
Answer : C

Question. Find the least number which on adding 9 to it becomes exactly divisible by 15, 25, 30 and 45.
A. 410
B. 450
C. 380
D. 441
Answer : D

Question. Which of the following square(s) must be shaded so that given figure is symmetric along both lines LM and AB?

A. R and S
B. P only
C. Q and P
D. Q only
Answer : C

Question. ABCD and PQRS are two squares of same dimensions. Find the area of shaded part.

A. 49 cm
B. 49 cm²
C. 196 cm²
D. 196 cm
Answer : C

Question. If 7/9 of a number is 63, then 1/3 of the number is ______.
A. 21
B. 27
C. 49
D. 42
Answer : B

21. Priya had ₹ 50. After buying 5 identical pens, she has ₹ y left. The cost of 1 pen in terms of y is ____.
A. ₹ (50-5/y)
B. ₹ (50 - y/5)
C. ₹ (50 − 5y)
D. ₹ (50y/5)
Answer : A

Question. The given square PQRS is made up of 4 smaller squares. What is the ratio of the area of the shaded part to the area of the unshaded part?

A. 2 : 3
B. 1 : 3
C. 1 : 4
D. 3 : 1
Answer : B

Question. The given table shows the temperature of a country for 7 consecutive hours.

Calculate the difference between the highest and the lowest temperature of the country over the 7-hour period.
A. 17 °C
B. 29 °C
C. 21 °C
D. 25 °C
Answer : B

Question. Find the value of CXVI + XIII + VI + CCLXV – XVI.
A. CD
B. CCCLXXXIV
C. CCCLXXXV
D. M
Answer : B

Question. Find the missing number.

A. 32 3/8
B. 111
C. 115
D. 119
Answer : D

Question. Estimate the following by rounding off each number to nearest hundreds.
78203 – 16407
A. 61700
B. 62000
C. 61800
D. 61500
Answer : C

Question. When we multiply a whole number and the multiplicative identity of whole numbers, then we get _____.
A. The number itself
B. The multiplicative identity
C. 0
D. Negative of that number
Answer : A

Question. Which of the following statements is incorrect?
A. Two parallel line segments will always intersect.
B. All equilateral triangles are isosceles.
C. Measure of straight angle is twice that of right angle.
D. The diameter of a circle is double of its radius.
Answer : A

Question. Ali will be 6y years old in 6 years time. How old was Ali 4y years ago?
A. 6y – 6
B. 10y – 6
C. 2y – 6
D. 2y + 6
Answer : C

Question. Express the given expression in the standard form.
0.0001289 – 0.0000000274 × 1293 + 0.0000419032
A. 1.35375 × 10–2
B. 1.53357 × 10–4
C. 1.35375 × 104
D. 1.35375 × 10–4
Answer : D

Question. Prateek, Divyanshu and Manish jog daily in the morning around a rectangular park. They take 3 minutes, 10 minutes and 5 minutes respectively to take one complete round. In one morning, all of them start at the same time from the same point and jog in the same direction for an hour.
(a) After how many minutes will all three of them meet again?
(b) How many times will they meet together during the 1 hour period?
            (a)          (b)
A. 20 minutes 3 times
B. 25 minutes 2 times
C. 30 minutes 2 times
D. 60 minutes 1 time
Answer : C

Question. Which of the following numbers is divisible by 11?
A. 1011011
B. 1111111
C. 22222222
D. 3333333
Answer : C

Question. 35% of a number is 189. What is 25% of the number?
A. 315
B. 135
C. 540
D. 125
Answer : B

Question. If P and Q represents the prime digits, then find the value of P and Q respectively.

A. 3, 3
B. 7, 5
C. 1, 5
D. 7, 3
Answer : D

Question. Which of the following figures satisfy the given conditions?
Fig. (i) Faces : 4 Fig. (ii) Faces : 5
          Edges : 6            Edges : 9
          Vertices : 4         Vertices : 6

Answer : C

EVERYDAY MATHeMATICS

Question. There are 45 cookies in a box. 27 of them have raisins while the rest are plain. What is the ratio of the number of plain cookies to that of raisin cookies in the box?
A. 2 : 3
B. 3 : 2
C. 3 : 5
D. 5 : 3
Answer : A

Question. An unknown number of apples were distributed amongst Garima and Amit in the ratio 5 : 7. If Amit got 84 apples, then the difference between the number of apples received by Garima and Amit is _____.
A. 46
B. 32
C. 20
D. 24
Answer : D

Question. Maya has the equal number of 20 paise and 50 paise coins. The total value of the coins is ₹ 16.10. If she spent five 50 paise coins, how many 50 paise coins did she have left?
A. 18
B. 23
C. 28
D. 46
Answer : A

Question. Sanchi distributed the equal number of sweets and the equal number of biscuits to each of her classmates at her birthday party. She gave out 220 sweets and 300 biscuits in total. Find the largest possible number of classmates at the party.
A. 10
B. 20
C. 30
D. 25
Answer : B

Question. Latika's monthly salary was ₹ 30525. She spent ₹ 1800 and saved the rest. How much did she save in a year?
A. ₹ 344700
B. ₹ 315975
C. ₹ 248960
D. ₹ 212840
Answer : A

Question. Mr. Kapoor left his office at 15:45 to attend a 3-hour seminar in Delhi. He took 2 hours 20 minutes to drive there but was 25 minutes late for the seminar. At what time did the seminar end?
A. 21 : 05
B. 22 : 10
C. 21 : 30
D. 20 : 40
Answer : 

Question. A bottle is 3/4 full of water. The water in the bottle can fill 5 glasses. If the water in the bottle is poured out to fill 3 glasses, find the fraction of the water left in bottle.
A. 9/10
B. 3/5
C. 9/20
D. 3/10
Answer : D

Question. Mini has some pencils. If she gives 3 pencils to each pupil, she will have 20 pencils left. If she gives 4 pencils to each pupil, she will have none left. How many pencils does she have?
A. 40
B. 60
C. 80
D. 120
Answer : C

Question. Sanya bought two dozen similar pens. She gave the cashier two ₹ 100 notes and received ₹ 13.60 as change. How much did each pen cost?
A. ₹ 7.77
B. ₹ 6.76
C. ₹ 5.87
D. ₹ 8.46
Answer : A

Question. Megha and Beena shared 272 beads. If Megha has thrice as many beads as Beena, how many beads does Megha have?
A. 68
B. 204
C. 104
D. 202
Answer : B

ACHIEVERS SECTION

Question. In a farm, there were 3c cows, 5p pigs and 11d ducks.
Express in terms of c, d and p, the total number of legs of the remaining animals if 3 cows, 2 pigs and 4 ducks were sold.
A. 20c + 22p + 12d – 28
B. 20c + 20p + 22d – 28
C. 20c + 15p + 20d – 32
D. 12c + 20p + 22d – 28
Answer : D

Question. In the number line shown below, PQ = QR = RS. Find the approximate value of Q, R and Q + R.

      Q         R    Q + R
A. 2.9      2.7      5.8
B. 2.6      2.8      5.4
C. 2.7      2.8      5.5
D. 2.7      2.9      5.6
Answer : D

Question. Figure P is made up of six identical squares. Two squares were removed from figure P to form figure Q.
The perimeter of figure P is 240 cm. What is the perimeter of figure Q?

A. 220 cm
B. 180 cm
C. 200 cm
D. 160 cm
Answer : C

Question. Fill in the blanks.
Any drawing (straight or non-straight) done without lifting the pencil may be a   P.  A   Q   is the one that does not cross itself. A curve is said to be    R  , if its ends are joined. A   S   is a simple closed curve made up of line segments.
         P                Q                      R             S
A. Curve       Open curve       Closed       Line
B. Line         Curve                 Open         Line
C. Curve      Simple curve     Closed       Polygon
D. Curve      Closed curve     Open         Circles
Answer : C

Question. Which of the following options hold?
Statement-1 : If the HCF of two numbers is one of the number, then their LCM is the other number.
Statement-2 : The LCM of two numbers is greater than the larger of the numbers.
A. Statement-1 is true and Statement-2 is false.
B. Statement-1 is false and Statement-2 is true.
C. Both the Statements are true.
D. Both the Statements are false
Answer : A