#### Half Yearly Model Question Paper 2

6th Standard

Reg.No. :
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Maths

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

Part A

15 x 1 = 15
1. The Arabian Sea has an area of 1491000 square miles. This area lies between which two numbers?

(a)

1489000 and 1492540

(b)

1489000 and 1490540

(c)

1490000 and 1490100

(d)

1480000 and 1490000

2. 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)

3. The value of ‘x’ in the circle is

(a)

6

(b)

8

(c)

21

(d)

22

4. The ratio of the number of sides of a triangle to the number of sides of a rectangle is

(a)

4 : 3

(b)

3: 4

(c)

3: 5

(d)

3: 2

5. The number of line segments in

(a)

1

(b)

2

(c)

3

(d)

4

6. A set of non-collinear points in the figure are _________.

(a)

A, F, C

(b)

B, F, D

(c)

E, F, G

(d)

A, D, C

7. The tally marks for the number 7 in standard form is_____________.

(a)

7

(b)

(c)

(d)

8. A bar graph cannot be drawn using_____________.

(a)

Horizontal bars only

(b)

Vertical bars only

(c)

Both horizontal bars and vertical bars

(d)

Either horizontal bars or vertical bars.

9. The sum of the factors of 27 is

(a)

28

(b)

37

(c)

40

(d)

31

10. The number 87846 is divisible by

(a)

2 only

(b)

3 only

(c)

11 only

(d)

all of these

11. 9 m 4 cm is equal to ____________

(a)

94 cm

(b)

904 cm

(c)

9.4 cm

(d)

0.94 cm

12. 2 days = ____________ hours.

(a)

38

(b)

48

(c)

28

(d)

40

13. Discount = M.P. - _____________

(a)

Profit

(b)

S.P.

(c)

Loss

(d)

C.P.

14. If two sides of a triangle are 5 cm and 9 cm, then the third side is ______________

(a)

5 cm

(b)

3 cm

(c)

4 cm

(d)

14 cm

15. 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.

16. Part B

Fill in the blanks

15 x 1 = 15
17. Fill in the blanks with > or < or =.
48792 _____ 48972

()

<

18. If A’s age is ‘n’ years now, 7 years ago A’s age was_____________.

()

n - 7

19. Ratio of 5 km 400 m to 6 km = __________.

()

9: 10

20. _____: 24 : : 3 : 8

()

9

21. Observe the diagram and fill in the blanks.‘A’, ‘O’ and ‘B’ are _________ points.

()

Collinear

22. Observe the diagram and fill in the blanks. ‘A’, ‘B’ and ‘C’ are _________ points.

()

Non-Collinear

23. (i) 'A' , 'O' and 'B' are______________ points
(ii) 'A', 'O' and 'C' are ____________ points
(iii) 'A' 'B' and, 'C' are_________ points
(iv) _________ is the point of concurrency

()

(i) collinear points
(ii) non collinear points
(iii) end points / non collinear points.
(iv) 0 is the point of concurrency.

24. If represents 100 balls then  represents___________balls.

()

150

25. The data can be arranged in a tabular form using ______ marks

()

tally

26. Tally marks  I represents _______

()

6

27. The number of distinct prime factors of the smallest 4 digit number is ___________

()

2

28. 450 ml $\times$ 5 = _______ l ________ ml

()

2 l 250 ml

29. The sum of three angles of a triangle is ___________.

()

180°

30. Part C

10 x 2 = 20
31. Write the following numbers in the International System by using commas. 7345671

32. Express the following verbal statement to algebraic statement.
4 less to 9 times of ‘y’.

33. Complete the table.

 Feet 1 2 3 ? Inch 12 24 ? 72
34. Construct a line segment using ruler and compass.$\overline{AB} = 7.5 cm$

35. There are 1000 students in a school. Data regarding the mode of transport of the students is given below. Draw a pictograph to represent the data.

 Mode of Travel On Foot Bicycle Scooter Bus Car Number of Students 350 300 150 100 100
36. Find the HCF and the LCM of the numbers 154, 198 and 286.

37. Convert 526 ml into l

38. Put mark in the circles which adds upto the given measure.

 1 1 Kg 500 g 50 g 100 g 200 g 250 g 2 1 m 10 cm 30 cm 40 cm 25 cm 5 cm 3 1 l 200 ml 100 ml 50 ml 500 ml 200 ml
39. Classify the following triangles based on its sides and angles.

40. Part D

5 x 3 = 15
41. Draw the next two patterns and complete the table.

 Shapes 1st Pattern 2nd Pattern 3rd Pattern 4th Pattern 5th Pattern Squares 1 2 3 Circles 1 2 3 Triangles 2 4 6
42. From the given figure, name the
(i) parallel lines
(ii) intersecting lines
(iii) points of intersection.

43. A farmer ploughed the paddy field for 3 hours 35 minutes. How many minutes did he plough?

44. 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.

45. Part E

7 x 5 = 35

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.

47. 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?

48. 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?

49. The following Pictograph shows the number of students playing different games in a school.

(i) Which is the most popular game among the students?
(ii) Find the number of students playing Kabaddi.
(iii) Which two games are played by equal number of students?
(iv) What is the difference between the number of students playing Kho-Kho and Hockey?
(v) Which is the least popular game among the students?

50. The bar graph illustrates the results of a survey conducted on vehicles crossing over a Toll Plaza in one hour.

Observe the bar graph carefully and fill up the following table.

 Vehicles Vans Buses Cars Others Total vehicles Number of Vehicles 30 45
51. Prepare a bill for the following purchases at Aavin sales counter in Coimbatore on 25-06-2018 bearing the Bill number 160.
1. 5 packets Milk Khoa of 100 gm @ Rs 40 each
2. 5 packets of Butter Milk @ Rs 8 each
3. 6 packets Milk of 500ml @ Rs 25 each
4. 5 packets Ghee of 100gm @ Rs 40 each

52. Two angles of the triangles are given. Find the third angle.
(i) 80°, 60°
(ii) 75°, 35°
(iii) 52°, 68°
(iv) 50°, 90°
(v) 120°, 30°
(vi) 55°, 85°