#### Term 2 Algebra Model Question Paper

8th Standard EM

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Maths

Time : 00:45:00 Hrs
Total Marks : 40
5 x 1 = 5
1. (a) $\frac { x }{ 2 }$=10     (i) x = 4
(b) 20= 6x – 4   (ii) x = 1
(c) 2x – 5 = 3 – x  (iii) x = 20
(d) 7x – 4 – 8x = 20  (iv) x =$\frac { 8 }{ 3 }$
(e) $\frac { 4 }{ 11 }$- x = $\frac { -7 }{ 11 }$   (v) x = –24

(a)

(i),(ii), (iv) ,(iii),(v)

(b)

(iii), (iv) , (i) ,(ii), (v)

(c)

(iii),(i) ,(iv), (v), (ii)

(d)

(iii) , (i) , (v) ,(iv) ,(ii)

2. Sum of a number and its half is 30 then the number is______.

(a)

15

(b)

20

(c)

25

(d)

40

3. The exterior angle of a triangle is 120° and one of its interior opposite angle 58°, then the other opposite interior angle is________.

(a)

62°

(b)

72°

(c)

78°

(d)

68°

4. What sum of money will earn `500 as simple interest in 1 year at 5% per annum?

(a)

50000

(b)

30000

(c)

10000

(d)

5000

5. The product of LCM and HCF of two numbers is 24. If one of the number is 6, then the other number is ________.

(a)

6

(b)

2

(c)

4

(d)

8

6. 5 x 2 = 10
7. The sum of three consecutive odd numbers is 75. Which is the largest among them?

8. The length of a rectangle is $\frac { 1 }{ 3 }$ of its breadth. If its perimeter is 64m, then find the length and breadth of the rectangle.

9. A number consists of two digits whose sum is 9. If 27 is subtracted from the original number, its digits are interchanged. Find the original number.

10. Plot the following points in a graph sheet.
A(5,2), B( − 7, − 3), C( − 2,4), D( − 1, − 1), E(0, − 5), F(2,0), G(7, − 4), H( − 4,0), I(2,3), J(8, − 4), K(0,7).

11. If the points P(5, 3) Q(−3, 3) R(−3, −4) and S form a rectangle, then find the coordinate of S.

12. 5 x 3 = 15
13. Solve the equation: x − 7 = 6

14. Solve $\frac { 4y }{ 3 } -7=\frac { 2 }{ 5 } y$

15. Relation between Quantity and Cost
The following table gives the quantity of milk and its cost.

 Quantity of milk 5 10 15 20 Cost of milk 150 300 450 600

Plot the graph.

16. Relation between Principal and Simple Interest:
A bank gives 10% simple interest on deposits made by Senior citizens. Illustrate by a graph the relation between the deposit and the interest gained. Use the graph to compute
(i) The annual interest obtainable for investment of Rs.450;
(ii) The amount a Senior citizen has to invest to get an annual simple interest of Rs.80.

17. Relation between Time and Distance:
A train runs constantly at a speed of 80km/hr. Draw a time – distance graph for this situation. Also find the
(i) time – taken to cover 240 km.
(ii) distance covered in 5 ½ hours.

18. 2 x 5 = 10
19. The length of a rectangular field exceeds its breadth by 9 metres. If the perimeter of the field is 154m, find the length and breadth of the field.

20. mother is five times as old as her daughter. After 2 years, the mother will be four times as old as her daughter. What are their present ages?