CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set B

LOGICAL REASONING

Question. In a joint family, there are father, mother, 4 married sons and three unmarried daughters. Of the sons, two have 2 daughters each, and two have a son and a daughter each. How many female members are there in the family?
A. 15
B. 12
C. 14
D. 11
Answer : C

Question. Read the information given below and answer the question that follows.
P * Q means P and Q are of the same age;
P – Q means Q is younger than P;
P + Q means P is younger than Q.
Shreya * Meena – Priti means
A. Priti is the youngest.
B. Priti is the oldest.
C. Shreya is younger than Priti.
D. None of these
Answer : A

Question. There is a certain relationship between figures (P) and (R). Establish the similar relationship between figures (Q) and (S) & find the missing figure.

Answer : B

Question. There is a certain rule followed in figures (i), (ii) and (iii). Identify the rule and find the missing number

A. 190
B. 820
C. 729
D. 150
Answer : C

Question. In the word MATHEMATICAL, if the first and third letters, the fourth and the sixth letters, the seventh and the ninth letters & the tenth and the twelfth letters were interchanged, then which of the following would be the seventh letter from the left end?
A. M
B. A
C. H
D. I
Answer : D

Question. If R is denoted by N, D is denoted by T, I is denoted by U, O is denoted by I, E is denoted by R, T is denoted by O, U is denoted by D, N is denoted by C and C is denoted by E, then how will the word ‘INTRODUCE’ be written?
A. UCONIDTER
B. UCONITDER
C. UCONTIDER
D. UCOINTDER
Answer : B

Question. The given diagram shows four persons stationed at the four corners of a square piece of plot. B starts crossing the field diagonally. After walking half the distance, he turns right, walks some distance and turns left. Which direction is B facing now?

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

Question. The given three figures (X), (Y) & (Z) shows a sequence of folding of a piece of paper. Figure (Z) shows the manner in which the folded paper has been cut. Identify the unfolded form of piece of paper.

Answer : C

Question. How many dots lie opposite to the face having four dots, when the given net of cube is folded?

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

Question. Select the correct mirror-image of Figure (X), if the mirror is placed vertically to the right.

Answer : B

Question. Which of the following options will exactly make up the Figure (X)?

Answer : A

Question. Select the figure amongst the options, which when placed in the blank space of Figure (X), would complete the pattern.

Answer : A

Question. Choose the figure which is different from the rest of the three.

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

Question. Which of the following figures will continue the same series as established by the five problem figures.

Answer : D

Question. Find the next term in the series given below.
3F, 6G, 11I, 18L, ?
A. 21O
B. 25N
C. 27P
D. 27Q
Answer : C

MATHEMATICAL REASONING

Question. Estimate the sum (21497 + 47807) to the nearest thousand.
A. 59000
B. 79000
C. 69000
D. 89000
Answer : C

Question. The value of XVI + CCCVII =
A. CCXXIII
B. CCCXIV
C. CCCXXIII
D. CCCXXV
Answer : C

Question. The largest number which divides 38, 46 and 62 leaving remainder 2, 4 and 6 respectively is .
A. 4
B. 2
C. 3
D. 1
Answer : B

Question. The weight of three boys are 11(3/4)kg, 14(1/5)kg and 16(1/2)kg. Total weight of the three boys is .
A. 41(9/20)kg
B. 43(9/20)kg
C. 42(9/20)kg
D. 44(9/20)kg
Answer : C

Question. Subtract 29.375 from the sum of 85.75 and 5.9.
A. 62.275
B. 63.275
C. 64.275
D. 65.275
Answer : A

Question. To balance the scale, write the missing fraction.

A. 11/24
B. 10/24
C. 5/24
D. 1/24
Answer : A

Question. Arrange the following in ascending order.
P : Eight thousand six hundred fifty two
Q : Ninety six thousand seven hundred forty one
R : Fifty nine thousand nine hundred eighty six
S : Eighty two thousand nine hundred six
A. P, Q, R, S
B. Q, S, R, P
C. P, R, S, Q
D. P, R, Q, S
Answer : C

Question. Mihika makes 8 gift packs containing chocolates for Diwali. She puts 12 vanilla chocolates, 14 milk chocolates and 8 nut chocolates in each pack. With the help of which property, can you calculate the total number of chocolates in 8 packs?
A. Commutative property
B. Associative property
C. Distributive property
D. None of these
Answer : C

Question. The breadth of a rectangle is w cm and the length is 5 times as long as its breadth. What is the perimeter of the rectangle?
A. 5w² cm
B. 12w cm
C. (10 + 2w) cm
D. (25 + w²) cm
Answer : B

Question. The pie chart shows the number of students who choose different co-curricular activities in a school. An equal number of students choose Basketball and Volleyball and 96 students choose Table Tennis.

The ratio of the number of students who choose Basketball to those who choose Soccer is 2 : 7.
How many students choose Soccer?
A. 160
B. 158
C. 172
D. 168
Answer : D

Question. Find the difference between the place value of 7 in53 69.70184 and face value of 3 in 536970184.
A. 2.3
B. 2.7
C. 230000
D. 69997
Answer : A

Question. Study the given pattern and find the value of X and Y respectively.

A. 20, 17
B. 25, 19
C. 22, 25
D. 19, 25
Answer : C

Question. If '+' is written as '÷', – is written as '+', '×' is written as '–' and '÷' is written as '×', then what is the value of 6 – 4 of 7 + [20 + {5 – (3 – 2)}]?
A. 16
B. 20
C. 28
D. 32
Answer : B

Question. How many parts should be shaded in the Figure Q to make it the same fraction as the unshaded part in the Figure P?

A. 3
B. 4
C. 8
D. 12
Answer : D

Question. Which of the following have at least two lines of symmetry?

A. Only P
B. Both P and Q
C. Both Q and R
D. P, Q, R and S
Answer : D

Question. Which of the following numbers are divisible by 3?
A. 700458
B. 2345162
C. 6594832
D. 7145221
Answer : A

Question. Given below number line represents............

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

Question. In the Gobi Desert, temperature of –60° F was recorded but in Sahara Desert on the same day it was 186° F. What is the difference between these two temperatures?
A. 246° C
B. 126° F
C. 126° C
D. 246° F
Answer : D

Question. The star is formed from 12 identical equilateral triangles. The perimeter of star is 72 cm. What is the perimeter of shaded hexagon?

A. 42 cm
B. 36 cm
C. 48 cm
D. 30 cm
Answer : B

Question. Find the fraction of curved lines to the total number of lines in the given figure.

A. 6/13
B. 8/13
C. 7/13
D. 5/13
Answer : C

EVERYDAY MATHeMATICS

Question. Your mother says "To calculate your pocket money, multiply your age by itself and then double it". If your age is x years, write an algebraic expression representing your pocket money. How much do you get as pocket money if your age is 11 years.
A. 4x, ₹ 44
B. 4x2, ₹ 484
C. 2x2, ₹ 242
D. 3x2, ₹ 363
Answer : C

Question. A and B take time in ratio 2 : 3 to complete a work. If they do the work together, they finish it in 10 days. What part of work was done by A?
A. (3/5)th
B. (1/5)th
C. (2/5)th
D. (4/5)th
Answer : C

Question. A square shaped floor tiles has length of 25 cm each.
How many tiles will be needed for a rectangular lawn 12 m long and 10 m wide? Find the total cost at the rate of ₹ 8 per tile.
A. 1560, ₹ 12,480
B. 1430, ₹ 11,440
C. 2120, ₹ 16,960
D. 1920, ₹ 15,360
Answer : D

Question. Shalini spent ₹ 835.75 on buying clothes, ₹ 309.15 on buying fruits and vegetables, ₹ 168.90 on buying sweets and ₹ 60.50 on transport. She had 3 five hundred rupee notes in her purse. How much money was left with her?
A. ₹ 142.35
B. ₹ 125.70
C. ₹ 132.80
D. ₹ 115.70
Answer : B

Question. A wheel barrow can hold kg, if four rocks weighs 6(1/8)kg, 8(1/2)kg, 4(3/4)kg and 7(1/7)kg are to be loaded
into the wheel barrow.
A. 26(7/8)
B. 24(3/8)
C. 26(1/8)
D. 24(7/8)
Answer : A

Question. A vessel has 5 litres 120 millilitres of mango shake.
How many glasses each of 40 ml capacity, can be filled with it?
A. 122
B. 130
C. 118
D. 128
Answer : D

Question. Rajan sold a cycle at a loss of ₹ 300. If he had sold it at ₹ 3000 he would have made a profit of ₹ 600. At what price did he sell the cycle?
A. ₹ 2400
B. ₹ 2000
C. ₹ 2100
D. ₹ 2500
Answer : C

Question. Eight copies of a book cost ₹ 523.60. What is the cost of a copy of the book?
A. ₹ 60.40
B. ₹ 65.45
C. ₹ 60.45
D. ₹ 65.40
Answer : B

Question. A man spends 4/15 of his monthly income on house rent, 1/2 on food and 1/5 on other items. He saves ₹ 800 in the end. What was his monthly income?
A. ₹ 24,000
B. ₹ 22,000
C. ₹ 25,000
D. ₹ 20,000
Answer : A

Question. The capacity of a drum is 50 L and that of a bucket is 8(3/4) L. If 5 buckets of water is poured into the drum, what fraction of the drum remains empty?
A. 1/4
B. 1/2
C. 3/4
D. 1/8
Answer : D

ACHIEVERS SECTION

Question. Fill in the blanks:
(i) The opposite sides of a parallelogram are ____P___ and ____Q___.
(ii) A quadrilateral having only one pair of opposite sides parallel is called a ____R___.
(iii) A parallelogram having all the sides equal is called a ____S___.
        P               Q                      R                     S
A. Equal     Parallel            Rectangle         Rhombus
B. Equal     Non-parallel     Trapezium        Kite
C. Equal     Parallel            Trapezium        Rhombus
D. Equal     Parallel            Trapezium        Kite
Answer : C

Question. In a maths quiz, there are 20 questions. If all questions are answered correctly, a student's score will be 20; if all questions are answered incorrectly a student's, score will be –20. Part way through this quiz Varun has a score of 2. What will his new score be, if he
(a) answers 2 of the next 5 questions correctly and 3 of them incorrectly?
(b) answers 4 of the next 5 questions incorrectly and 1 of them correctly?
     (a)       (b)
A. 2           1
B. –2       –1
C. 1         –1
D. 1           0
Answer : C

Question. Which of the following statements is INCORRECT?
A. –2 < –1, since –2 lies on the left of –1 in the number line.
B. –1 > – 4, since –1 lies on the right of – 4 in the number line.
C. – 4 > –5, since –5 lies on the left of – 4 in the number line.
D. –3 > –5, since –5 lies on the right of –3 in the number line
Answer : D

Question. Match the columns

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

Question. Study the statements given below and choose the correct answer.
Statement-1 : Numbers having more than two factors are known as composite numbers.
Statement-2 : A number for which sum of all its factors is equal to twice the number is called a perfect number.
A. Statement-1 is true and statement-2 is false.
B. Statement-1 is false and statement-2 is true.
C. Both statements are true.
D. Both statements are false.
Answer : C