CBSE Class 6 Mathematics IMO Olympiad MCQs with Answers Set K

LOGICAL REASONING

Question. Two positions of a dice marked (A, B, C, D, E, F) are shown below. Which letter will be on the face opposite to the face with A?

A. E
B. D
C. B
D. C
Answer : B

Question. Identify the two figures which are out of position/place and requires interchanging of position to put the entire series in order.

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

Question. If the first three letters of the word 'anthropologist S' are written in reverse order, followed by the next four letters written in reverse order, followed by next eight letters written in reverse order, which letter will come exactly in the middle?
A. T
B. H
C. S
D. O
Answer : C

Question. If 687 + 509 = 560897, then 619 + 703 = ?
A. 760931
B. 760891
C. 760139
D. 760193
Answer : C

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

Answer : C

Question. Ritesh is son of Varun. Sarika, Varun's sister has a son Rahul and a daughter Riya. Sahil is the maternal uncle of Rahul. How is Ritesh related to Rahul?
A. Nephew
B. Cousin
C. Uncle
D. Father
Answer : B

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

Answer : A

Question. Which of the following Venn diagrams correctly depicts the relationship among "Yak, Zebra, Bear"?

Answer : C

Question. Which of the following options will complete the pattern in Figure (X)?

Answer : C

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

A. 24
B. 28
C. 26
D. 30
Answer : B

Question. Find the missing number in the number pattern given below.

A. 810
B. 892
C. 576
D. 816
Answer : A

Question. Which of the following cubes cannot be formed using the net?

Answer : C

Question. How many flowers will be there in Pattern 6?

A. 51
B. 76
C. 45
D. 38
Answer : A

Question. Consider the figures X and Y showing a sheet of paper folded and punched in figure Z. Select the figure, which will most closely resemble the unfolded form of figure Z.

Answer : D

Question. Which of the following diagrams satisfies the condition of placement of dot as in the given Figure (X)?

Answer : B

Question. Minimum number of straight lines required to draw the given figure is ______.

A. 19
B. 17
C. 18
D. 16
Answer : D

Question. In the given series, how many pairs of alternate numbers have a difference of 2?
6 4 1 2 2 8 7 4 2 1 5 3 8 6 2 1 7 1 4 1 3 2 8 6
A. One
B. Two
C. Three
D. Four
Answer : B

Question. In the given question, a series of small letters which follows a pattern where some letters are missing is given. Find the missing letters so that a proper sequence of letters are formed. ab __ __ __ b __ bbaa __
A. abaab
B. abbab
C. baaab
D. babba
Answer : C

Question. Select the figure from the options that will replace the question mark(?) in problem figure and continue the pattern.

Answer : B

Question. If 3 × 6 = 18; 4 × 7 = 22; 9 × 1 = 20, then 5 × 2 = ?
A. 7
B. 10
C. 14
D. 3
Answer : C

MATHEMATICAL REASONING

Question. Select the correct match.
A. LXV = 75
B. LXIX = 79
C. XCVIII = 98
D. LXXX = 90
Answer : C

Question. Express the number of storybooks that Mohit read in December as a fraction of the total number of storybooks read in four months.

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

Question. Which of the following numbers is completely divisible by 3?
A. 297149
B. 1790184
C. 6392105
D. 901352
Answer : B

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. 150 cm²
C. 280 cm²
D. 190 cm²
Answer : A

Question. Which of the following figures has/have at least one line of symmetry ?

A. I and II
B. I and III
C. II and III
D. I , II and III
Answer : B

Question. What must be added to the product of 2(4/7) and 3 to make 21(5/14)?
A. 13(9/12)
B. 12(9/14)
C. 13(9/14)
D. 15(11/14)
Answer : C

Question. 2/3 of the books in a box are English books, 1/4 are Maths books and the rest are Science books. What fraction of the books are Science books?
A. 2/3 - 1/4
B. 2/3 x 1/4
C. 1 - (2/3 + 1/4)
D. 1 - (2/3 - 1/4)
Answer : C

Question. Priya drove from town P to town Q. She took 14 hours 35 minutes for the journey. The clock shows the time she arrived at Town Q in the afternoon.
When did she set off from Town P?

A. 2 : 10 am
B. 4 : 45 pm
C. 4 : 45 am
D. 2 : 45 am
Answer : A

Question. The ratio of the volume of water in Bottle P to the volume of water in Bottle Q is 3 : 4. Rajeev drank 40 mL of the water from Bottle P and the ratio then became 13 : 20. How much water was there in bottle
P at first?
A. 60 mL
B. 80 mL
C. 300 mL
D. 400 mL
Answer : C

Question. Machine P can shred 12 sheets of paper in 15 seconds. Machine Q can shred 18 sheets of paper in 20 seconds.
Which machine can shred more sheets of paper in one minute and by how many more?
A. Machine P, 6 sheets
B. Machine Q, 6 sheets
C. Machine P, 8 sheets
D. Machine Q, 8 sheets
Answer : B

Question. Fill in the blanks:
Every natural number has a _____ except _____ and has a _____.
A. Successor, 0, predecessor
B. Successor, 1, predecessor
C. Predecessor, 0, successor
D. Predecessor, 1, successor
Answer : D

Question. Which of the following diagrams correctly describes the factors of 15 and 12?

Answer : C

Question. Select the incorrect match

Answer : D

Question. Which of the following statements is correct?
A. 14 tenths 4 thousandths = 0.144
B. 2 tenths 13 hundredths = 0.213
C. 4 hundredths 2 tenths = 0.024
D. 7 tenths 17 hundredths = 0.87
Answer : D

Question. The fractional number corresponding to the given number "9 tens + 5 ones + 3 tenths + 7 hundredths" is ______.
A. 9437/100
B. 9537/100
C. 9000/100
D. 9637/100
Answer : B

EVERYDAY MATHEMATICS

Question. 45% of Garima's savings is the same as 25% of Latika's savings. What is the ratio of Garima's savings to Latika's savings?
A. 5 : 9
B. 9 : 5
C. 9 : 20
D. 1 : 4
Answer : A

Question. On Monday, there were thrice as many peanuts in Sack X as Sack Y. On Tuesday, 3952 peanuts in Sack X were sold. Now there were thrice as many peanuts in Sack Y as Sack X. How many peanuts were there in Sack X at first?
A. 4644
B. 6644
C. 4446
D. 4466
Answer : C

Question. Zarrin collected 1346 eggs. 38 of them were broken. 
She sold the rest at ₹ 8 each. What was the total collection from her sale of the eggs?
A. 16084
B. 10684
C. 10195
D. 10464
Answer : D

Question. Beena bought 12 kg of sugar. After filling 11 containers of the same size, she had 3.2 kg left. How much sugar was there in each container?
A. 0.5 kg
B. 0.6 kg
C. 0.7 kg
D. 0.8 kg
Answer : D

Question. Cost of a toffee is 50 paise and cost of a chocolate is ₹ 10, then the ratio of the cost of toffee to the cost of a chocolate is _______.
A. 5 : 1
B. 1 : 20
C. 1 : 5
D. 20 : 1
Answer : B

Question. Dinesh joined 2 squares of area 81 cm² and 36 cm² together. What is the perimeter of the new figure now?
A. 45 cm
B. 48 cm
C. 54 cm
D. 60 cm
Answer : B

Question. Mayank is 1(2/5) times as tall as Vansh. If Mayank is 38 cm taller than Vansh, what is Mayank's height?
A. 133 cm
B. 123 cm
C. 95 cm
D. 129 cm
Answer : A

Question. Three boys and four girls shared 198 sweets. Each girl received twice as many sweets as each boy.
How many sweets did each girl receive?
A. 36
B. 18
C. 24
D. 30
Answer : A

Question. Meeku fenced up a square area. He used 100 poles on each side of the square. How many poles did he use altogether?
A. 400
B. 398
C. 394
D. 396
Answer : D

Question. Mrs. Khan had m eggs. She used 5 eggs to bake a cake and gave 6 eggs to her neighbour. How many eggs had she left?
A. (m + 11) eggs
B. (11 – m ) eggs
C. (m – 11) eggs
D. (11 + m) eggs
Answer : C

ACHIEVERS SECTION                                                             

Question. Find P, Q, R and S respectively.
A square pyramid has P base,
Faces : Q
Edges : R
Corners : S
A. Square, 4, 10, 5
B. Rectangle, 5, 10, 5
C. Square, 5, 8, 5
D. Rectangle, 6, 10, 5
Answer : C

Question. Which of the following is true?
Statement I : A fraction is said to be in the simplest (or lowest) form if its numerator and denominator have no common factor except 1.
Statement II : Simplest form of 686/1715 is 3/5.
A. Statement I and statement II both are true.
B. Statement I is false and statement II is true.
C. Statement I is true and statement II is false.
D. Statement I and statement II both are false.
Answer : C

Question. Fill in the blank:
A ____ of a circle is a region in the interior of the circle enclosed by an arc and a chord.
A. Sector
B. Radius
C. Segment
D. Area
Answer : C

Question. Find the correct match.

     P       Q      R         S
A. 12     74     15       207
B. 12     15     74       270
C. 12     74     15       270
D. 42     15     270     74
Answer : C

Question. Match the Column-I with Column-II. 
If a, b, c, are whole numbers, then

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