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IMO Grade-6 2013-Paper

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Logical Reasoning:

1. 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

2. 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

3. If the first three letters of the word ‘ANTHROPOLOGISTS’ are written in reserve

order, followed by the next four letters 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

4. If 687 + 509 = 560897, then 619 + 703 = ?

(a) 760931

(b) 760891

(c) 760139

(d) 760193



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

its part.

(a)

(b)

(c)

(d)

6. 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

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

(a)

(b)

(c)

(d)



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8. Which of the following Venn diagrams correctly depicts the relationship among “Yak,

Zebra, Bear”?

(a)

(b)

(c)

(d)

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

(a)

(b)

(c)

(d)

10. 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



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

(a) 810

(b) 892

(c) 576

(d) 816

12. Which of the following cubes CANNOT be formed using the net?

(a)

(b)

(c)

(d)

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

(a) 51

(b) 76

(c) 45

(d) 38

14. Consider the figure 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.

(a)

(b)

(c)

(d)



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15. Which of the following diagrams satisfies the condition of placement of dot as in the

given Figure (X)?

(a)

(b)

(c)

(d)

16. Minimum number of straight lines required to draw the given figure is _______.

(a) 19

(b) 17

(c) 18

(d) 16

17. In the given series, how many pairs of alternate numbers have a difference of 2?

(a) One

(b) Two

Three(c)

(d) Four

18. 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



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19. Select the figure from the options that will replace the question mark(?) in problem

figure and continue the pattern.

(a)

(b)

(c)

(d)

20. If 3 6 18;4 7 22;9 1 20, then 5 2 ?

(a) 7

(b) 10

(c) 14

(d) 3

Mathematical Reasoning

21. Select the correct match.

(a) LXV = 75

(b) LXIX = 79

(c) XCVIII = 98

(d) LXXX = 90

22. 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



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23. Which of the following is completely divisible by 3?

(a) 297149

(b) 1790184

(c) 6392105

(d) 901352

24. 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 2cm

(b) 150 2cm

(c) 280 2cm

(d) 190 2cm

25. 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

26. What must be added to the product of 4

27

and 3 to make 5

2114

?

(a) 9

1312

(b) 9

1214

(c) 9

1314

(d) 11

1514



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27. 2

3of the book 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 1

3 4

(b) 2 1

3 4

(c) 2 1

13 4

(d) 2 1

13 4

28. Priya drawn from town P to town Q. She took 14 hours 35 minutes for the journey.

Yhe clock shows the time she arrived at Town Q in the afternoon. When did she off

from Town P?

(a) 2 : 10 am

(b) 4 : 45 pm

(c) 4 : 45 am

(d) 2 : 45 am

29. 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 water from Bottle P and ratio then became 13 : 2. How much

water was there in bottle P at first?

(a) 60 ml.

(b) 80 ml.

(c) 300 ml.

(d) 400 ml.

30. 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



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31. 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

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

(a)

(b)

(c)

(d)

33. Select the INCORRECT match.

(a) One pair of parallel side - Trapezium

(b) Parallelogram with 4 right angles - Rectangle

(c) Parallelogram with 4 sides of equal length - Rhombus

(d) A rhombus with 4 right angles - Kite

34. Which of the following statements is correct?

(a) 14 tenths 4 thousands = 0.144

(b) 2 tenths 13 hundredths = 0.213

(c) 4 hundredths 2 tenths = 0.024

(d) 7 tenths 17 hundredths = 0.87

35. 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



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Everyday Mathematics

36. 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

37. 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 were there

in Sack X at first?

(a) 4644

(b) 6644

(c) 4446

(d) 4466

38. Zarrin collected 1346 eggs. 38 of them were broken. She sold the rest at Rs. 8 each.

What was the total collection from her sale of the eggs?

(a) 16084

(b) 10684

(c) 10195

(d) 10464

39. 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

40. Cost of a toffee is 50 paise and cost of a chocolate is Rs. 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

41. Dinesh joined 2 squares of area 81 2cm and 36

2cm together. What is the perimeter of

the new figure now?

(a) 45 cm

(b) 48 cm

(c) 54 cm

(d) 60 cm



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42. Mayank is 2

15

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

43. Three boys and four girls shared 198 sweets. Each girl received twice as many as each

boy. How many sweets did each girl receive?

(a) 36

(b) 18

(c) 24

(d) 30

44. 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

45. Mr. 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

Achievers Section

46. 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



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47. 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.

48. 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

49. Find the correct match.

Length of rectangle

(cm)

Breadth of rectangle

(cm)

Area

2cm

Perimeter

(cm)

25 P 300 Q

18 R A 66

P Q R S

(a) 12 74 15 207

(b) 12 15 74 270

(c) 12 74 15 270

(d) 42 15 270 74

50. Match the Column –I with Column-II.

If a, b, c are whole numbers, then

Column –I Column –II

(i) a + b = b + a (a) Distributivity of multiplication

(ii) (a + b) + c = a + (b + C) (b) Commutativity under addition

(iii) a b c a b a c (c) Associativity of addition

(d) Commutativity under multiplication

(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

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