#### Half Yearly Model Question Paper 1

6th Standard

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Maths

Answer ALL Questions from all parts.

Time : 02:30:00 Hrs
Total Marks : 100

Part A

15 x 1 = 15
1. 1 billion is equal to ___________

(a)

100 crore

(b)

100 million

(c)

100 lakh

(d)

10000 lakh

2. The difference between the successor and the predecessor of 99999 is

(a)

90000

(b)

1

(c)

2

(d)

99001

3. The estimated difference of 167826 and 2765 rounded off to the nearest thousand is

(a)

180000

(b)

165000

(c)

140000

(d)

155000

4. Which of the following is not true?

(a)

(4237 + 5498) + 3439 = 4237 + (5498 + 3439)

(b)

(4237 $\times$ 5498) $\times$ 3439= 4237 $\times$ (5498 $\times$ 3439)

(c)

4237 + 5498 $\times$ 3439 = (4237 + 5498) $\times$ 3439

(d)

4237 $\times$ (5498 + 3439) = (4237 $\times$ 5498) + (4237 $\times$ 3439)

5. ‘6y’ means

(a)

6 + y

(b)

6 − y

(c)

6 × y

(d)

$\frac{6}{y}$

6. The value of ‘y’ in y + 7 = 13 is

(a)

y = 5

(b)

y = 6

(c)

y = 7

(d)

y = 8

7. The length and breadth of a window are in 1m and 70 cm respectively. The ratio of the length to the breadth is ____________.

(a)

1: 7

(b)

7: 1

(c)

7: 10

(d)

10: 7

8. If 2 : 3 and 4: ___ are equivalent ratios, then the missing term is

(a)

6

(b)

2

(c)

4

(d)

3

9. A line is denoted as

(a)

AB

(b)

$\overleftarrow { AB }$

(c)

$\overrightarrow { AB }$

(d)

$\overleftrightarrow { AB }$

10. In this Figure, ∠AYZ = 45°. If point ‘A’ is shifted to point ‘B’ along the ray, then the measure of ∠BYZ is ___________
.

(a)

more than 45°

(b)

45°

(c)

Less than 45°

(d)

90°

11. The representation of ‘one picture to many objects’ in a Pictograph is called__________.

(a)

Tally mark

(b)

Pictoword

(c)

Scaling

(d)

Frequency

12. Which is the greatest? 0.007 g, 70 mg, 0.07 cg

(a)

0.07 cg

(b)

0.007 g

(c)

70 mg

(d)

all are equal

13. What time will it be 5 hours after 22:35 hours?

(a)

2:30 hours

(b)

3:35 hours

(c)

4:35 hours

(d)

5:35 hours

14. Which of the following is not possible?

(a)

An obtuse isosceles triangle

(b)

An acute isosceles triangle

(c)

An obtuse equilateral triangle

(d)

An acute equilateral triangle

15. 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

16. Part B

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

18. Simplify : 24 + 2 $\times$ 8 ÷ 2 + 1

19. 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?

20. Find the HCF and the LCM of the numbers 154, 198 and 286.

21. Manimegalai purchased a house for Rs 25,52,500 and spent Rs 2,28,350 for its repair. She sold it for Rs 30,52,000. Find her gain or loss.

22. If one angle of an isosceles triangle is 70°, then find the possibilities for the other two angles.

23. Part C

10 x 3 = 30
24. Identify the value of the shapes and figures in the table given below the verify their addition horizontally and vertically

25. Divide the numbers given below in the required ratio. 27 in the ratio 4 : 5

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

27. How many triangles are there in the given figures?

28. Convert into indicated units:
(i) 10 l and 50 ml into ml
(ii) 4 km and 300 m into m
(iii) 300 mg into g

29. Raghu buys a chair for Rs 3000. He wants to sell it at a profit of Rs 500 after making a discount of Rs 300. What is the M.P. of the chair?

30. Muthu has a car worth Rs 8,50,000 and he wants to sell it at a profit of Rs 25,000. What should be the selling price of the car?

31. In one year, a paper company had sold 6,25,610 notebooks out of a stock of 7,50,800 notebooks. Find the number of notebooks left unsold.

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

33. Part D

7 x 5 = 35
34. The amount deposited by a Gold merchant in his bank account in the month of January is Rs 17,53,740 and in the month of February is Rs 15,34,300. Estimate the sum and difference of the amount deposited to the nearest thousand.

35. A Music concert is taking place in a stadium. A total of 7,689 chairs are to be put in rows of 90.
(i) How many rows will there be?
(ii) Will there be any chairs left over?

36. Complete the following pattern.
9 − 1 =
98 − 21 =
987 − 32 =
9876 − 432 =
98765 − 54321 =
What comes next?

37. The ingredients required for the preparation of Ragi Kali, a healthy dish of Tamilnadu is given below.

 Ingredients Quantity Ragi flour 4 cups Raw rice broken 1 cup Water 8 cups Sesame oil 15 ml Salt 10 mg

(a) If one cup of ragi flour is used then, what would be the amount of raw rice required?
(b) If 16 cups of water is used, then how much of ragi flour should be used?
(c) Which of these ingredients cannot be expressed as a ratio? Why?

38. The following are the marks obtained by 30 students in a class test out of 20 in Mathematics subject.
11 12 13 12 12 15 16 17 18 12
20 13 13 14 14 14 15 15 15 15
16 16 16 15 14 13 12 11 19 17
Prepare a table using Tally Marks.

39. The lengths (in the nearest centimetre) of 30 drumsticks are given as follows.

Draw the bar graph showing the same information.

40. Convert the following questions into tree diagrams:
(i) The number of people who visited a library in the last 5 months were 1210, 2100, 2550, 3160 and 3310. Draw the tree diagram of the total number of people who had used the library for the 5 months.
(ii) Ram had a bank deposit of Rs.7,55,250 and he had withdrawn Rs.5,34,500 for educational purpose. Find the amount left in his account. Draw a tree diagram for this.
(iii) In a cycle factory, 1,600 bicycles were manufactured on a day. Draw tree diagram to find the number of bicycles produced in 20 days.
(iv) A company with 30 employees decided to distribute Rs.90,000 as a special bonus equally among its employees. Draw tree diagram to show how much will each receive?