#### Model Exam Question paper

6th Standard

Reg.No. :
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Maths

Time : 01:30:00 Hrs
Total Marks : 75

Part A

10 x 1 = 10
1. The difference between the successor and the predecessor of 99999 is

(a)

90000

(b)

1

(c)

2

(d)

99001

2. The value of ‘x’ in the circle is

(a)

6

(b)

8

(c)

21

(d)

22

3. An equivalent ratio of 4 : 7 is

(a)

1 : 3

(b)

8 : 15

(c)

14 : 8

(d)

12 : 21

4. In this Figure, which is not the correct way of naming an angle?

(a)

∠Y

(b)

∠ZXY

(c)

∠ZYX

(d)

∠XYZ

5. The plural form of ‘datum’ is

(a)

datum

(b)

datums

(c)

data

(d)

datas

6. The factors of a number are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80. What is the number?

(a)

80

(b)

100

(c)

128

(d)

160

7. 9 m 4 cm is equal to ____________

(a)

94 cm

(b)

904 cm

(c)

9.4 cm

(d)

0.94 cm

8. There is no profit or loss when

(a)

C.P. = S.P.

(b)

C.P > S.P.

(c)

C.P < S.P.

(d)

M.P. = Discount

9. Which of the following correctly describes the given triangle?

(a)

It is a right isosceles triangle.

(b)

It is an acute isosceles triangle.

(c)

It is an obtuse isosceles triangle.

(d)

It is an obtuse scalene triangle.

10. Which of the following can be the sides of an isosceles triangle?

(a)

6cm, 3cm, 3cm

(b)

5cm, 2cm, 2cm

(c)

6cm, 6cm,7cm

(d)

4cm, 4cm, 8cm

11. Part B

10 x 2 = 20
12. Observe the commas and write down the place value of 7. 567,456,345

13. Mullaikodi has 25 bags of apples. In each bag there are 9 apples. She shares them equally amongst her 6 friends. How many apples do each get? Are there any apples left over?

14. A car covers a distance of 125 km in 5 kg of LP Gas. How much distance will it cover in 3 kg of LP Gas?

15. Find the type of lines marked in thick lines (Parallel, intersecting or perpendicular).

16. The traffic lights at three different road junctions change after every 40 seconds, 60 seconds and 72 seconds respectively. If they changed simultaneously together at 8 a.m at the junctions, at what time will they simultaneously change together again?

17. Maran walks 1.5 km every day to reach the school while Mahizhan walks 1400 m. Who walks more distance and by how much?

18. A vegetable vendor buys 10 kg of tomatoes per day at Rs 10 per kg, for the first three days of a week. 1 kg of tomatoes got smashed on everyday for those 3 days. For the remaining 4 days of the week he buys 15 kg of tomatoes daily at Rs 8 per kg. If for entire week he sells tomatoes at Rs 20 per kg, then find his profit or loss for the week.

19. Two sides of the triangle are given in the table. Find the third side of the triangle.

 Sl. No. Side – 1 Side - 2 The length of the third side(any three measures) i. 7 cm 4 cm ii. 8 cm 8 cm iii. 7.5 cm 3.5 cm iv. 10 cm 14 cm
20. Part C

5 x 3 = 15
21. The teacher forms groups of five students in a class. How many students will be there in ‘p’ groups?

22. From the figure name a pair of (i) complementary angles (ii) supplementary angles

23. Change the following into 24 hour format
(i) 3.15 a.m
(ii) 12.35 p.m
(iii) 12.00 noon
(iv) 12.00 midnight

24. Check whether the Tree diagrams are equal or not.

25. Part D

6 x 5 = 30

Name of the Star Diameter (in miles)
Sun 864730
Sirius 1556500
Canopus 25941900
Alpha Centauri 1037700
Arcturus 19888800
Vega 2594200

(i) Write the Canopus star’s diameter in words, in the Indian and the International System.
(ii) Write the sum of the place values of 5 in Sirius star’s diameter in the Indian System.
(iii) Eight hundred sixty four million seven hundred thirty. Write this in standard form of Indian System.
(iv) Write the diameter in words of Arcturus star in the International System.
(v) Write the difference of the diameters of Canopus and Arcturus stars in the Indian and the International Systems.

27. A piece of wire is ‘12s’ cm long. What will be the length of the side, if it is formed as
(i) an equilateral triangle
(ii) a square?

28. Thirumagal's mother wears a bracelet made of 35 red beads and 30 blue beads. Thirumalgal wants to make smaller bracelets using the same two coloured beads in the same ratio. In how many different ways can she make the bracelets?

29. The following bar graph shows the number of people visited Mahabalipuram over a period of 5
months.

Use the graph to answer the following questions
(a) How many people visited Mahabalipuram in April?
(b) How many more people visited Mahabalipuram in May than in January?
(c) In which month, were there as many visitors as on March?
(d) In which month were there 1500 more visitors than in January?
(e) How many visitors were there in 5 months?

30. Using the numbers from 1 to 9
(i) Can you form a magic triangle?
(ii) How many magic triangles can be formed?
(iii) What are the sums of the sides of the magic triangle?

31. Convert the following numerical expressions into Tree diagrams.
(i) 8 + (6 $\times$ 2)
(ii) 9 − (2 $\times$ 3)
(iii) (3 $\times$ 5) − (4 $\div$ 2)
(iv) [(2 $\times$ 4)+2 $\times$ (8 $\div$ 2)
(v) [(6 +4) $\times$ 7] $\div$ [2 $\times$ (10 −5)]
(vi) [(4 $\times$ 3) $\div$ 2] + [8 $\times$ (5 − 3)]