Question paper is based on the basic general knowledge of the student's

about mathematics subjects. We are assessing only general things which

student's have covered previously.

You will have to bring your colour's on the day of the olympiad.

Answers are required to write by pen only.

No negative marking is applicable.

GENERAL INSTRUCTIONS:

1 17KMO-5-6

For any two equivalent fractions and which of the following is true?

a = p b = q a q = p b a p = b q

If two fractions have same numerators, the one with a greater denominator is

greater smaller equal any of these

In a class of 40 students some like to play cricket, others like tennis and the rest love to swim. If number of students liking cricket and tennis are shown as and , then those who love to swim shall be represented by

The given figure is rotated a full rotation on the axis shown. The 3-D solid obtained by the above rotation would be a

Cone Cylinder Cone a top a cylinder Cylinder a top a cone

What should be added to 9000000 to make a crore?

A thousand Ten thousand Lakh Ten lakh

A square has an area 25 square cm. A rectangle has length double the side of square and breadthhalf the side of the square. Then which of the following is true?

Area of the rectangle < Area of the square Area of the rectangle > Area of the square

Perimeter of the rectangle < Perimeter of Perimeter of the rectangle > Perimeter of the square the square

Fifty ice-cream lovers tell their choice of ice-cream: 40% love Vanilla, love strawberry and therest love chocolate.The percentage of the lovers of the three flavours are V%, S% and C% respectively. Then,

V% = S% S% < C% S% > C% V% > C%

If 12345679 18 = 222222222, 12345679 27 = 333333333, 12345679 36 = 444444444,12345679 N = 555555555 then number N equals

9 54 90 45

Rita jogs around a park 40m 60m. If each step of Rita is 100 cm long, then in how many stepswill Rita jog 1 rounds of the park?

200 240 300 360

If A = 4096 rounded off the nearest thousands, B = 354 rounded off the nearest hundreds, andC = 42 rounded off the nearest tens then A B C equal

4000 37500 40000 30000

a

b__ p

q__1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

1__5

1__2

Q1. Tick () the right option:

5&6

2MO-5-6

1.

2.

3.

4.

5.

Temperatureincrease

Temperature in the

afternoon

060 F

075 F

082 F

0 12 F

0 25 F

014 F

0 19 F

051 F

098 F

0100 F

Q2. Fill in the blanks:

NumberDivisible By

2 5 10 3 9

306

603

747

1005

2120

Q4. Write the cost price of the items in the following table.

Items Cost Price (Rs.) Profit (Rs.) Loss (Rs.) Selling Price (Rs.)

12 2

__

7.25

__

12

__

4.50

__

2.10

__

16

21.25

14

26.50

Temperature early in

the morning

Q3. Put a () if the number is divisible and () if it is not.

Q5. Convert into seconds :

6 minutes

20 minutes

5 minutes 20 seconds

=

=

=

a.

b.

c.

4 hours

5 hours 10 minutes

=

=

d.

e.

Q6. Convert into hours :

3600 minutes

240 minutes

120 minutes 3600 seconds

=

=

=

a.

b.

c.

2 hours 420 minutes

3 hours 7200 seconds

=

=

d.

e.

10 hours

7 hours 50 minutes

=

=

d.

e.

9 hours 500 minutes

24 hours 50000 seconds

=

=

d.

e.

17K

072 F

0100 F

037 F

079 F

018 F

20.4

14

16.10

14.5

14

360

1200

320

14400

18600

32400

28200

60

4

3

9

5

17 Hours

20 Minutes

3MO-5-6

0 0An angle whose measure is greater than 0 but less than 90 is called an _____________ angle.

0An angle whose measure is 90 is called a __________________ angle.

0 0An angle whose measure is greater than 90 but less than 180 is called an ___________ angle.

0An angle whose measure is 180 is called a ______________ angle.

0 0An angle whose measure is greater than 180 but less than 360 is called a __________ angle.

0An angle whose measure is equal to 360 is called a ____________ angle.

When two rays start from common point and move in different directions an ______________ is

formed. Their common end point is called a _____________________ and the two rays form the

_____________________ of the angles.

An angle of measure ____________________ is complement of itself.

An angle of measure ____________________ is supplement of itself.

The measure of each angle of a rectangle is __________________.

44 as a sum of 2 prime numbers is ________________ + _______________.

Place value of 8 in 68439547 is ________________________.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

Q8. Fill in the blanks:

Q7. The pictograph shows visitors visiting hill stations on a particular day.

How many people visited Mussorie?

How many people visited Shimla?

Where did maximum number of people go?

How many total people visited the four hill stations?

Which two places had same number of visitors?

1.

2.

3.

4.

5.

Hill Station Each represents 100 visitors

Shimla

Darjeeling

Mussorie

Ooty

visitors

and

visitors

visitors

17K

300

600

shimla

1700

Darjeeling Mussorie

acute

right

obtuse

straight

reflex

complete

right angle

1000000

4MO-5-6

ItemSelling PricePer Unit (Rs.)

Quantity Amount (Rs.)

Knife

Soap

Pen stand

Chocolate

Biscuits

Puzzles

35

18

120

18

12

112

2

3

4

6

8

3

Km Station Time

__

145

199

317

389

414

567

705

New Delhi

Mathura

Agra Cantt

Gwalior

Datia

Jhansi

Bina

Bhopal

a

d

a

d

a

d

a

d

a

d

a

d

a

d

a

d

6.15

7.34

7.35

8.12

8.17

9.36

9.39__

__

10.48

10.56__

14.05

__

1. The total time the train takes to reach from New

Delhi to Bhopal is _________ minutes.

2. The half time at Mathura and Jhansi stations

respectively are ________ minutes and ________

minutes.

3. The journey time from Agra Cantt station to Gwalior

station is ________ minutes.

4. The train reaches Bhopal station at _________ pm.

5. The train does not stop at ___________ and

___________ stations enroute.

Q9. Ankit comes to Shoppers store to buy a few items. If the selling price of 1 unit ofeach of the following items are given, how much money did Ankit pay for the number of Items he purchased:

Q10. Given below is the time table of Shatabdi Express running between New Delhi andBhopal.‘a’ stands for arrival and ‘d’ for departure times. Look at the table and answer thequestions given:

17K

70

54

480

108

96

336

470

1 8

87

14.05

Datia

Bina

5

Q13. The corner numbers add up to the number in the centre. Fill in the missing numbers :

Q14. What is the time shown on the clock?

MO-5-6

1. 2. 3.

4. 5. 6.

3.

3.

1575

360

459 384

? 126

359

1143

452

?

444

555

3109

999

?

1704

126

232

434 84

1631

599

686

1012

988

5118

?

1218? ?

5

11__ 7

11__ 1

11__ 6

11__ 3

11__

2

10__ 5

15__ 3

18__ 1

10__ 7

21__

4

17__ 9

10__ 6

12__ 5

20__ 9

9__

10

40__ 13

39__ 8

10__ 9

27__ 7

15__

Q11. Arrange the following fractions in ascending order:

Q12. Arrange the following fractions in descending order:

17K

1/11, 3/11, 5/11, 6/11, 7/11

1/10, 3/18, 2/10, 5/15, 7/21

9/9, 9/10, 6/12, 5/20, 4/17

8/10, 7/15, 13/39, 9/27, 10/40

372

912 262

206 1111

1900

11:35 03:30 08:35 06:00

04:55 09:45 01:55 07:50

6MO-5-6

Q15. Study the problem and complete the table. Write how many least number of given weights are required tomeasure the item shown.

1 kg 500 g 200 g 100 g 50 gItems

15 kg 250 g

300 g

61 kg 500 g

3 kg

5 kg 850 g

1.

2.

3.

4.

5.

Q17. Use the digits to build the greatest number and the smallest number possible. You may repeat the digits.

Digits 4-digit numbers 5-digit numbers

Greatest Smallest Greatest Smallest

2 , 9, 1

8, 3, 5

4, 8, 6

1, 3, 0, 8

4, 9, 6, 2

4, 5, 7, 2

1.

2.

3.

4.

5.

6.

Q18. Tick () the odd one out in the following :

4

5

9

10

14

8

12

18

22

28

10

20

28

33

45

16

25

36

44

56

20

30

63

55

56

28

35

72

66

70

1.

2.

3.

4.

5.

Q16. Classify each of the following angle, given its measure in degrees.

0120

0320

072

045

0180

0160

0140

095

015

17K

obtuse

reflex

acute

acute

straight

obtuse

obtuse

obtuse

acute

9921

8853

8864

8310

9642

7542

1299

3588

4688

0138

2462

2457

99921

88853

88864

88310

99642

77542

12999

35888

46888

01388

24699

24577

7MO-5-6

3

7

__ 3

7

__ 6

7

__ 6

11

__ 2

3

__ 2

4

__ 11

15

__ 3

15

__

20

3

__ 17

4

__3

8

__ 1

6

__2

7

__ 6

10

__3

5

__ 1

6

__

Q21. Compare the following fractions and put > or < in the circles:

Q22. Express as a ratio.

(a) 1 metre to 300 cm

(b) 70 metre to 3 km

(c) 2 kg to 1 kg 500 g

(d) Rs 60 to Rs 80

(e) 2 rupees to 25 paisa

(f) 3 hours 20 min. to 50 min.

(g) 3 days to 2 days 8 hours

(h) 7 kg to 700 g

__________________

__________________

__________________

__________________

__________________

__________________

__________________

__________________

Q23. Convert appropriately:

(a)

(b)

(c)

(d)

(e)

Rs. 037 = ________Paisa

3.05 m = ________ mm

8 km 8 cm 8 mm =________ cm

15.607 kl =________ l

4785 p =________ Rupees

(f)

(g)

(h)

(i)

(j)

8 p = ________ Rupees

700 cm 5 mm = ________ m

8 g =________ kg

Rs 300.45 =________ Paisa

3 m 4 cm 5 mm =________ mm

17K

Q20. Label the following angles acute, obtuse, reflex, straight or right angles:

Ans. : Ans. : Ans. : Ans. : Ans. :

Q19. Give the size of each missing angle:

0100

050030035

035

090

060

060

Ans. : Ans. : Ans. : Ans. :060 0

55 0115

030

obtuse right straight acute acute

= > > >

> > > >

8MO-5-6

42 rupees 65 paise

80 paise

1506 metres

500 metres

48 km 5 m

1.

2.

3.

4.

5.

=

=

=

=

=

Rs.

Rs.

km

km

km

2 km 567 m

14 km 23 m

350 g

1 kg 25 g

560 l

6.

7.

8.

9.

10.

=

=

=

=

=

km

km

kg

kg

ml

Q

A

O

PL

S B

Arms of the angle __________ , _________.

Vertex of the angle ____________.

Points in the interior of the angle ________ , _______.

Points in the exterior of the angle _______ , _______.

Type of angle (AOB) _____________.

1.

2.

3.

4.

5.

Which is the most popular activity?

What fraction of students have chosen this activity?

What fraction of students have chosen

art? music? dance?

Find the number of students who have chosen

dance music

art basketball

1.

2.

3.

4.

Ans.

Ans.

group of some prime numbers

group of some even numbers

group of some odd numbers

group of some factors of 24

group of some multiples of 7

(2, 4, 6, 8, 10, 12, 14)

(7, 14, 21, 28, 35, 42)

(1, 2, 3, 4, 6, 8, 12, 24)

(2, 3, 5, 7, 11, 13, 17, 19)

(1, 3, 5, 7, 9, 11, 13, 15)

Q24. Express the following as decimals:

Q25. An angle AOB is drawn for you. Look at the figure and answer the following:

Q26. The circle graph given below shows the activities chosen by 40 students of Class 5. Look at the graph to answer these questions:

Basketball

Art

Mus

ic

Dance

Q27. Match the following:

17K

9MO-5-6

Q30. Match the Hindu-Arabic numerals correctly with Roman Numerals.

Column I Column II

DCCXII

LXXIII

CCVI

X

DLVII

1.

2.

3.

4.

5.

206

712

557

73

10

Q31. Find the prime factors of the following.

42

54

72

121

196

=

=

=

=

=

36

68

96

144

200

=

=

=

=

=

2 x 3 x 7

Q28. Name the solids and count the number of faces and vertices each of these have.

Solid Name Number of faces

Number of vertices

Q32. Read the given graph and answer the following:

1. The number of students with shoe size 3 is ____________ .

2. The least number of students wear ____________ shoe size.

3. The number of students with shoe size 5 is ____________ .

The different shoe sizes of class 6

Shoe Size

Fre

qu

en

cy

8

6

4

2

0

Q29. Solve the following using the properties you have learned:

(a) 25 x 64 x 10 x 4

(b) 42 (64 + 36)

(c) 73 + 68 + 27 + 32

(d) 75 x 125 x 8

(e) 108 x 72 + 72 x 8

(f) 82 + 110 + 8

(g) 89 x 7 + 89 x 3

(h) 15 x 42 + 42 x 5

17K

Q33. Write the number of sides in each shape.

a.

b.

O c.

d.

e.

f.

g.

h.

cuboid

triangular prism

cube

triangular pyramid

square pyramid

6

5

6

4

5

8

9

8

4

5

2 x 3 x 3 x 3

2 x 2 x 2 x 3 x 3

11 x 11

2 x 2 x 7 x 7

2 x 2 x 3 x 3

2 x 2 x 17

2 x 2 x 2 x 2 x 2 x 3

2 x 2 x 2 x 2 x 3 x 3

2 x 2 x 2 x 5 x 5

8

0

2

10MO-5-6

Q34. Say whether the following statements are True or False.

All squares are quadrilaterals.

A triangle is a polygon.

A polygon is made up of line segments.

All quadrilaterals are rectangles.

All closed curves from polygons.

All chords pass through the centre of a circle.

The circumference of a circle is its length.

Since 7 3 = 21, 21 is a multiple of both 7 and 3.

2, 4, 6, 8, 12 are all multiples of 4.

Perimeter of a rectangle is product of its length and width.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Q35. Fill in the blanks.

The point where two sides of a square meet is called the ___________________.

In a rectangle, the ________________ sides have the same length.

A triangle has ___________________ vertices.

A ____________________ has 6 faces, all of which are squares of the same size.

A sphere has _________________ curved face.

If we join any 2 points of a circle we get ___________________.

If the diameter of a circle is 6 cm, its radius is _____________________.

The radius of a circle is 12 cm. Its diameter is ______________________.

Two instruments used for comparing line segments are _____________ and ____________.

We can draw ________________ number of chords of a circle.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

Q36. Put a tick () on the simple closed curves.

17K

True

False

True

True

False

False

True

True

False

False

corner or vertex

opposite

cube

one

chore

3cm

24cm

scale divider

infinite

three

11MO-5-6

Q37. The bar graph shown below details the sale of an ice-cream seller on a particular day. From the bar graph, answer the following questions.

__

__

__

__

__

__12

10

8

6

4

2

Orangebar

Chocobar

Mango duet

Pistachiocup

Strawberrycup

Num

ber

of ic

e-c

ream

s so

ld

How many orange bar ice-creams were sold?

Which ice-cream flavour had the least sale?

Which ice-cream flavour had the maximum sale?

Of which ice-cream flavour were 6 units sold?

How many ice-creams were sold in all?

1.

2.

3.

4.

5.

Q38. Observe the number patterns and fill in the empty boxes.

4 9 16 25 36

6 8 12 18

160 200 240

25 30 35

310 290 270

1.

2.

3.

4.

5.

Q39. Find the answers.

8 l 315 ml 122 l 260 ml

17 l 5 ml 75 l 270 ml

10 l 200 ml 3 l 120 ml

520 l 36 ml 29 l 9 ml

1.

2.

3.

4.

=

=

=

=

l

l

l

l

ml

ml

ml

ml

17K

8

strawberry cup

choco bar

pistachio cup

28

49

26 36 48 62

280 320 360 400 440

40 45 50 55

250 230 210 190 170

64 81

130

92

7

491

515

275

80

27

12MO-5-6

Q41. Fill in the table appropriately.

11

13

15

17

19

Q42. What fraction does the shaded part represent in each of the following.

1 2 3 4 5 6 7 8 9 10X

Ans. Ans. Ans.

Ans. Ans. Ans.

1

2

__

17K

Q40. Colour by given numbers.

16 = red

15 = green

14 = blue

13 = yellow

12= grey

11 = brown

11

13

15

17

19

22

26

30

34

38

33

39

45

51

57

44

52

60

68

76

55

65

75

85

95

66

78

90

102

114

77

91

105

119

133

88

104

120

136

152

99

117

135

153

171

110

130

150

170

190

4

8

__ 1

3

__

3

4

__2

6

__5

8

__