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#### Half Yearly Model Question Paper 3

6th Standard

Reg.No. :
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Maths

Do not write anything on question paper

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

Part A

30 x 1 = 30
1. The successor of 10 million is

(a)

1000001

(b)

10000001

(c)

9999999

(d)

100001

2. The chart below shows the number of newspapers sold as per Indian Readership Survey in 2018. Which could be the missing number in the table?

Name of the Newspaper Ranking Sold (in Lakh)
A 1 70
B 2 50
C 3 ?
D 4 10
(a)

8

(b)

52

(c)

77

(d)

26

3. Use BODMAS and put the correct operator in the box. 2 $\Box$ 6 - 12 $\div$ (4 + 2) = 10

(a)

+

(b)

-

(c)

$\times$

(d)

$\div$

4. The number 9785764 is rounded off to the nearest lakh as

(a)

9800000

(b)

9786000

(c)

9795600

(d)

9795000

5. The product of a non-zero whole number and its successor is always

(a)

an even number

(b)

an odd number

(c)

zero

(d)

none of these

6. 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)

7. ‘6y’ means

(a)

6 + y

(b)

6 − y

(c)

6 × y

(d)

$\frac{6}{y}$

8. The number of days in ‘w’ weeks is

(a)

30 + w

(b)

30w

(c)

7 + w

(d)

7w

9. The value of ‘c’ for which $\frac{3c}{4}$ gives 18 is

(a)

c = 15

(b)

c = 21

(c)

c = 24

(d)

c = 27

10. The ratio of 1 m to 50 cm is __________.

(a)

1: 50

(b)

50: 1

(c)

2: 1

(d)

1: 2

11. If Azhagan is 50 years old and his son is 10 years old then the simplest ratio between the age of Azhagan to his son is

(a)

10: 50

(b)

50: 10

(c)

5: 1

(d)

1: 5

12. Which is not an equivalent ratio of ${16\over 24}$ ?

(a)

$6\over 9$

(b)

$12\over 18$

(c)

$10\over 15$

(d)

$20\over 28$

13. If a barbie doll costs Rs 90, then the cost of 3 such dolls is Rs ___________.

(a)

260

(b)

270

(c)

30

(d)

93

14. The equivalent fraction of $\frac { 1 }{ 7 }$ is _____________

(a)

$\frac { 2 }{ 15 }$

(b)

$\frac { 1 }{ 49 }$

(c)

$\frac { 7 }{ 49 }$

(d)

$\frac { 100 }{ 7 }$

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

(a)

∠Y

(b)

∠ZXY

(c)

∠ZYX

(d)

∠XYZ

16. A point of concurrency in the figure is _________.

(a)

E

(b)

F

(c)

G

(d)

H

17. The tally marks represents the number count

(a)

5

(b)

8

(c)

9

(d)

10

18. 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.

19. Which of the following numbers is not a prime?

(a)

53

(b)

92

(c)

97

(d)

71

20. If the number 6354 * 97 is divisible by 9, then the value * is

(a)

2

(b)

4

(c)

6

(d)

7

21. The HCF of two numbers is 2 and their LCM is 154. If the difference between the numbers is 8, then the sum is

(a)

26

(b)

36

(c)

46

(d)

56

22. 1006 g is equal to _________

(a)

1 kg 6 g

(b)

10 kg 6 g

(c)

100 kg 6 g

(d)

1 kg 600 g

23. 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

24. 2 ½ years is equal to ______________ months.

(a)

25

(b)

30

(c)

24

(d)

5

25. Discount is subtracted from ____________ to get S.P.

(a)

M.P.

(b)

C.P.

(c)

Loss

(d)

Profit

26. 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

27. The given triangle is ___________

(a)

a right angled triangle

(b)

an equilateral triangle

(c)

a scalene triangle

(d)

an obtuse angled triangle

28. If all angles of a triangle are less than a right angle, then it is called ______________.

(a)

an obtuse angled triangle

(b)

a right angled triangle

(c)

an isosceles right angled triangle

(d)

an acute angled triangle

29. An equilateral triangle is

(a)

an obtuse angled triangle

(b)

a right angled triangle

(c)

an acute angled triangle

(d)

a scalene triangle

30. 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

31. Part B

10 x 2 = 20
32. Of the numbers 1386787215, 137698890, 86720560, which one is the largest? Which one is the smallest?

33. Madhavi and Anbu bought two tables for Rs 750 and Rs 900 respectively. What is the ratio of the prices of tables bought by Anbu and Madhavi?

34. Pick out the Right angles from the given figures.

35. Write the alternate name of the angle <XYZ in the given figure.

36. 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
37. Find the prime factorisation of each number by factor tree method and division method.
a) 60  b) 128  c) 144  d) 198  e) 420  f) 999

38. Pradeep travels 4 km and 350 m to reach to the market, while Kandan travels 6 km and 200 m to reach to the same market from their houses. How much distance does Kandan travel more than Pradeep?

39. Wheat is being sold at Rs 1550 per bag of 25 kg at a profit of Rs 150. Find the cost price of the wheat bag.

40. A football team gains 3 and 4 points for successive 2 days and loses 5 points on the third day. Find the total points scored by the team and also represent this in tree diagram.

41. Part C

5 x 3 = 15
42. Express the following algebraic statement to verbal statement.
5n − 12

43. Write the mean and extreme terms in the following ratios and check whether they are in proportion.
(i) 78 litres is to 130 litre and 12 bottles is to 20 bottles
(ii) 400 gm is to 50 gm and 25 rupees is to 625 rupees

44. From the given figure
(i) identify the parallel lines
(ii) identify the intersecting lines
(iii) name the points of intersection.

45. A book seller has 175 English books, 245 Science books and 385 Mathematics books. He wants to sell the books in a box, subject-wise in equal numbers. What will be the greatest number of the boxes required? Also find the number of books for each subject in a box.

46. Convert into a Tree diagram (10$\times$9) − (8$\times$2) + 3

47. Part D

7 x 5 = 35
48. The rectangles made of identical square blocks with varying lengths but having only two square blocks as width are given below.

(i) How many small size squares are there in each of the rectangles P, Q, R and S?
(ii) Fill in the boxes.

 Rectangle P Q R S T Number of small size squares along the breadth 2 2 ? 2 2 Number of squares along the length 1 4 3 ? x Total number of squares in rectangle ? 8 ? 10 ?
49. The America’s famous Golden Gate bridge is 6480 ft long with 756 ft tall towers. A model of this bridge exhibited in a fair is 60 ft long with 7 ft tall towers. Is the model in proportion to the original bridge?

50. Study the above Bar graph and answer the following questions.
(i) Which activity is followed by maximum number of students?
(ii) How many students in all, spend their time on solving puzzles?
(iv) The activity followed by minimum number of students is__________.
(v) The number of students who took part in reading comics is_______________.

51. 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?

52. 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

53. 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)]