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#### Term 1 Model Question Paper

8th Standard EM

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Maths

Time : 02:00:00 Hrs
Total Marks : 60
4 x 1 = 4
1. The number which is subtracted from $\frac { -6 }{ 11 }$ to get $\frac { 8 }{ 9 }$

(a)

$\frac { 34 }{ 99 }$

(b)

$\frac { -142 }{ 99 }$

(c)

$\frac { 142 }{ 99 }$

(d)

$\frac { -34 }{ 99 }$

2. If the area of a rectangle is 48m2n3 and whose length is 82mn then, its breadth is______

(a)

6mm

(b)

8m2n

(c)

7m2n2

(d)

6m2n2

3. If ΔABC～ΔPQR in which ∠A = 53o and ∠Q = 77o, then R is

(a)

50°

(b)

50°

(c)

70°

(d)

80°

4. How many 2 digit numbers contain the number 7?

(a)

10

(b)

18

(c)

19

(d)

20

5. 3 x 1 = 3
6. A line segment which joins any two points on a circle is a _________.

()

chord

7. The meeting point of more than two edges is called as ______.

()

Vertex

8. Expand the following
(m -10)(m + 5)=______

()

(m - 10)(m + 5) =  m2+ (-10+ 5)m + (-10)(5) = m2 - 5m -50

9. 4 x 1 = 4
10. 0 is the smallest rational number

(a) True
(b) False
11. The rational numbers that are equal to their additive inverses are 0 and –1.

(a) True
(b) False
12. The multiplicative inverse exists for all rational numbers

(a) True
(b) False
13. 8x3y÷4x2=2xy

(a) True
(b) False
14. 4 x 1 = 4
15. $\frac { 1 }{ 0 }$

16. (1)

Triangular Prism

17. Area of the sector of a circle

18. (2)

$=\frac { { \theta }^{ 0 } }{ { 360 }^{ 0 } } \times { \pi r }^{ 2 }$

19. (3)

does not exist

20. (4)

Cylinder

8 x 2 = 16
21. Find the rational numbers for the points marked on the number line.

22. Mangalam buys a water jug of capacity $3\frac { 4 }{ 5 }$ litres. If she buys another jug which is $2\frac { 2 }{ 3 }$ times as large as the smaller jug, how many liters can the larger one hold?

23. Simplify: $\\ \\ \\ \frac { 1 }{ 8 } \left( \frac { 1 }{ 6 } -\frac { 1 }{ 4 } \right) .$

24. Find the area of a sector whose perimeter is 64 cm and length of the arc is 44 cm.

25. Find the perimeter and area of the combined figures given below. $\left( \pi =\frac { 22 }{ 7 } \right)$

26. Find the area of the combined figure given, formed by joining a semicircle
of diameter 6 cm with a triangle of base 6 cm and height 9 cm. ( π = 3.14 )

27. Which 3-D shapes do the following nets represent? Draw them.

28. Guna has fixed a single door of 3 feet wide in his room where as Nathan has fixed a double door, each 1$\frac{1}{2}$ feet wide in his room. From the closed state, if each of the single and double doors can open up to 120, whose door requires a minimum area?

29. 3 x 3 = 9
30. Reduce to the standard form
$\frac { -18 }{ -42 }$

31. Expand (y-5)3

32. Find the unknowns in the following figures

33. 4 x 5 = 20
34. Find the perimeter and area of the given Fig.2.27. $\left( \pi =\frac { 22 }{ 7 } \right)$

35. Find the area of the shaded region in the figure.

36. Factorise : x2+8x+16

37. Factorize
(x+1)2-(x-2)2