CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set L

LOGICAL REASONING

Question. I am standing at the centre of a circular field. I go down south to the edge of the field and then turning left I walk along the boundary of the field equal to three-eighths of its length. Then I turn west and go right across to the opposite point on the boundary.
In which direction I am from the starting point?

A. North west
B. North
C. South-west
D. West
Answer : C

Question. Select the venn diagrams which represents the relation amongst the following
"Whole numbers, Integers, Decimal numbers"?

Answer : C

Question. Select a figure from amongst the options which will continue the same series as established by the five problem figures.

Answer : C

Question. There is a definite relationship between figures (i) and
(ii). Establish a similar relationship between figures
(iii) and (iv) by selecting a suitable figure from the options that would replace the question mark (?) in figure (iv).

Answer : B

Question. In the following question, a set of figures carrying certain characters, is given. Assuming that the characters in each set follow a similar pattern, find the missing character.

A. 21
B. 25
C. 35
D. 45
Answer : B

Question. If 3 is subtracted from the middle digit of each of the following numbers and then the positions of the digits are reversed, then which of the following will be the last digit of the middle number after they are arranged in descending order?
589, 362, 554, 371, 442
A. 1
B. 2
C. 3
D. 4
Answer : C

Question. Which would be the proper order of the following (in ascending order)?
(a) Trillion
(b) Thousand
(c) Billion
(d) Hundred
(e) Million
A. a, b, d, c, e
B. a, e, c, b, d
C. d, b, c, e, a
D. d, b, e, c, a
Answer : D

Question. The minimum number of straight lines required to make the given figure is ________.

A. 20
B. 25
C. 27
D. 19
Answer : C

Question. Select the figure from the options which will continue the same series as established by the problem figures.

Answer : D

Question. Select the correct mirror image of Figure (X).

Answer : C

Question. Select the figure from the options in which the given shape (X) is exactly embedded as one of its part.

Answer : D

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

A. 28
B. 29
C. 30
D. 31
Answer : A

Question. Some symbols are represented by letters as shown below :
  +    –    ×     ÷    =    >      <
B    G    E    C    D    A     F
Then, which of the following expressions is true?
A. 18 C 3 D 6 B 8 C 4 G 12
B. 18 A 3 E 6 B 8 G 4 B 12
C. 18 C 3 G 6 B 8 B 4 D 12
D. 18 F 3 B 6 E 8 G 4 E 12
Answer : C

Question. Which of the following options completes the figure matrix?

Answer : D

Question. The given question consists of a set of three figures X, Y and Z showing a sequence of folding of a piece of paper. Figure (Z) shows the manner in which the folded paper has been cut. Choose a figure which would most closely resemble the unfolded form of sheet of paper.

Answer : A

Question. Select a figure from the given options which do not satisfies the same conditions of placement of dots as in Figure (X).

Answer : D

Question. Which of the following options will complete the given figure pattern?

Answer : D

Question. Select a figure from the options which will exactly make up the key figure (X).

Answer : A

Question. A meaningful word starting with A is made from the first, the second, the fourth, the fifth and the sixth letters of the word CONTRACT. Which of the following is the middle letter of that word?
A. C
B. O
C. R
D. T
Answer : D

Question. If the first and second digits in the sequence 5981327438 are interchanged, also the third and fourth digits, the fifth and sixth digits and so on, which digit would be the seventh counting to your left?
A. 1
B. 4
C. 7
D. 8
Answer : B

MATHEMATICAL REASONING

Question. Which of the following represents the number line for operation 0 – (–2) – (–3)?

Answer : B

Question. Which of the following statements is true?
A. 1 is a prime number.
B. 1 is neither a prime nor a composite number.
C. A prime number will not have the number itself as one of its factors.
D. A composite number will have only two factors.
Answer : B

Question. Select the correct match of fractions of the unshaded part.

Answer : D

Question. The diagram below shows a list of decimals.
I. 53.760 II. 4.016
III. 2.63 IV. 0.06
Which are the highest and lowest decimals respectively?
A. I and II
B. II and III
C. III and IV
D. I and IV
Answer : D

Question. Factory W produces x units of mobile phones in y days. What are represented by W, x and y?
        W                     x                 y
A. object           unknown       object
B. object           object           unknown
C. object           unknown      unknown
D. unknown      object           unknown
Answer : C

Question. What is the area of the shaded part in the figure below?

A. 16 cm²
B. 24 cm²
C. 32 cm²
D. 48 cm²
Answer : C

Question. The given graph shows the sale of story books in a bookshop for the first 6 months.
In which month was the sale of story books 125% of the sale of books in June?

A. February
B. March
C. April
D. May
Answer : B

Question. The given figure is formed by three squares. A, B, C and D are the mid-points of the sides of the big square. W, X, Y and Z are the mid-points of the sides of the medium square. The big square is of side 16 cm. Find the unshaded area.

A. 16 cm²
B. 46 cm²
C. 64 cm²
D. 72 cm²
Answer : C

Question. What is the difference in place value between the digits 8 and 6 in the numeral 8962321?
A. 7994000
B. 7904000
C. 7960000
D. 7940000
Answer : D

Question. The line graph shows the weights of a beaker when empty and when different marbles are placed in it.
What is the total weight of marbles A, B and C?

A. 700 g
B. 800 g
C. 400 g
D. 500 g
Answer : A

Question. Arrange the following numbers in ascending order.
0.9898, 0.8899, 0.9889, 0.8989
A. 0.9898, 0.9889, 0.8989, 0.8899
B. 0.8899, 0.8989, 0.9898, 0.9889
C. 0.8899, 0.8989, 0.9889, 0.9898
D. 0.8989, 0.8899, 0.9889, 0.9898
Answer : C

Question. The given figure shows 4 bars of different lengths.
What is the length of the longest bar?

A. 7.8 cm
B. 8.2 cm
C. 8 cm
D. 8.1 cm
Answer : B

Question. What is the ratio of the shaded area to the unshaded area?
A. 5:7
B. 3:4
C. 7:10
D. 7:3
Answer : D

Question. The given figure is made up of 10 squares of the same size. The perimeter of the figure is 80 cm. Find the area of the figure.

A. 250 cm²
B. 220 cm²
C. 25 cm²
D. 600 cm²
Answer : A

Question. How many of the following letters have at least one line of symmetry?
OLYPLIAD
A. 3
B. 4
C. 5
D. 6
Answer : D

EVERYDAY MATHEMATICS

Question. 2500 metres of cotton cloth was made into 20 rolls of 30 m each and 25 rolls of 20 m each. Find the length of the remaining cloth in metres and how many rolls of 70 m can be made with the remaining cloth?
A. 700 m, 10
B. 1400 m, 20
C. 2100 m, 30
D. None of these
Answer : B

Question. Vishal jogged round a rectangular field 4 times. If the rectangular field was 135 m long and 78 m wide,
how far did Vishal jog?
A. 426 m
B. 852 m
C. 1278 m
D. 1704 m
Answer : D

Question. A total of 500 pieces of sweets is to be divided among Radha, Ahmed and Krishna respectively in the ratio of 3 : 8 : 14. How many pieces of sweets will Radha get?
A. 60
B. 80
C. 160
D. 280
Answer : A

Question. Aunt A, Aunt B and Uncle C divided 11.775 kg of wheat flour equally among themselves. Aunt A used all her wheat flour equally to bake 5 chocolate cakes.
How much wheat flour did each cake need?
A. 750 g
B. 780 g
C. 785 g
D. 500 g
Answer : C

Question. Arun has ₹ 125 in his savings account. He withdraws a cheque of ₹ 117, makes a deposit of ₹ 45 and then withdraws another cheque for ₹ 69. Find the amount left in his account. (write the amount as an integer).
A. ₹ (–16)
B. ₹ (16)
C. ₹ (30)
D. ₹ (–30)
Answer : A

Question. A 29-inch colour TV set costs ₹ 532565 and a 21-inch model costs ₹ 318675. How much more does the bigger TV set cost (In ₹)?
A. Two lakhs thirteen thousand seven hundred and ninety
B. Two lakhs thirteen thousand eight hundred and ninety
C. One lakh thirteen thousand nine hundred and ninety
D. Two lakhs twelve thousand eight hundred and ninety
Answer : B

Question. A shopkeeper bought 50 kg of sugar. He sold 1/4 of the sugar. Find the weight of sugar that was left.
A. 37.5 kg
B. 37500 g
C. 50 × 3/4 kg
D. All of these
Answer : D

Question. Goods weighing 132.95 kg were loaded in a lorry at the first station. At the second station goods weighing 34.980 kg were loaded. At the third station, goods weighing 98.85 kg were downloaded. What is the weight of the goods left?
A. 69.080 kg
B. 69.80 kg
C. 59.080 kg
D. 57.650 kg
Answer : A

Question. A piece of cloth 4 m in width and 5 m in length has to be covered by square block prints. If each side of the square block is 0.2 m in length, how many such squares can be printed on the cloth?
A. 700
B. 690
C. 806
D. 500
Answer : D

Question. Vineet measured the lengths of two bugs he found.
The cricket was three-fourths of a unit long. The ant was one-eighth of a unit long. How much longer was the cricket than the ant?
A. 3/8
B. 5/8
C. 2/7
D. 11/7
Answer : B

ACHIEVERS SECTION

Question. Study the two statements carefully.
Statement 1 : A natural number is divisible by 11 if the difference of the sum of digits at the alternative place (starting from unit’s place) is divisible by 11.
Statement 2 : 19487171 is divisible by 11.
Which of the following options hold?
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 : C

Question. Which of the following statements is incorrect ?
A. The symbol X can be subtracted from L, M and C only.
B. V, L and D are never repeated.
C. V, L and D are never subtracted.
D. I or V is written to the left of L or C.
Answer : D

Question. Match the column I and column II.

A. (i) → a; (ii) → c; (iii) → d; (iv) → b
B. (i) → c; (ii) → a; (iii) → d; (iv) → b
C. (i) → d; (ii) → c; (iii) → b; (iv) → a
D. (i) → b; (ii) → d; (iii) → a; (iv) → c
Answer : B

Question. Fill in the blank.
The highest common factor (HCF) of __________ given numbers is the highest (or greatest) number of their common factors.
A. Two
B. One
C. Two or more
D. Zero
Answer : C

Question. Which of the following statements is INCORRECT?
A. 5 hours is 1/6 of a day.
B. Addition and multiplication are commutative for whole numbers.
C. A triangle having all three unequal sides is called scalene triangle.
D. A number with 4 or more digits is divisible by 8, if the number formed by last three digits is divisible by 8.
Answer : A