Math question collection

class 8-math
Group"A"(1×8)=8
1. a. Write down the set notation represented by shaded region.





b. Find the value of ‘x’ if AB //CD , < AMN = 2x and < CNM = 3x.






2. a. “Every fraction is a rational number”. Is it true?
b. Find the ratio of 77 weeks to 35 weeks.

3. a. Find the value of 75% of 8litres.
b. Find the image of A(-4, 7) when it is reflected in Y-axis.

4. a. Write down a set of first 6 whole numbers.
b. Write down the formula to calculate area of a quadrilateral.

Group"B"(2×18) = 36

5. a. Add : 1435 + 3145 + 1005
b. Find the square root of 2.25

6. a. Divide : a4 + a2b2 + b4 by a2 + ab + b2
b. Simplify :(54/128)-1/3
c. In the given figure, that lines AB and EC are parallel.




7. If 20, 100 and y are in continued proportion, find the value of y.

8. a. Factorize : 3a2-5a-8
b. Factorize: x3 – 15x2 + 56x
c. Simplify: (4√6+3√7) (4√6-3√7)
d. Rationalize the denominator: 5√3/(2√7-2√3)
e. Simplify: 4x2-25/ (2x2-x-10)
f. Find median from the given data:
11, 11, 12, 13, 16, 24, 11

9. a. From the adjoining figure, find the value of y.



b. From the adjoining figure, find the measure of


c. In the given figure,MNO and ABC are congruent. Find the value of ‘x’ and ‘y’.






d. In the given figure, MEN ~ MN//DF, MN=15cm, DF =
25cm, EF = 40cm. find NF.






e. Find the interior angle of a regular octagon.
f. The length of a rectangular field is 9cm.If the perimeter of the field is
34cm, find its breadth.

Group"C"(4×14) = 56
10. If U = {1, 2, 3, …….10} , A = { 1, 2, 3} , B = { 3, 6, 9}. Prove that (AB)' =A'B'
11. A cubical water task can hold 64l of water. Find the length of the tank.
12. Simplify : (xb/xc)1/bc . (xc/xa)1/ca . (xa/xb)1/ab
13. Find the H.C.F : y2-4, y3- 8, y2-5y+6
14. If the angles of a triangle are in the ratio 2:3:5, find the angles.
15. Verify experimentally that base angles of an isosceles triangle are equal. (Three figures are necessary).
16. Two numbers are in the ratio 2:3. If 6 is subtracted to each number the new ratio becomes 17:27, find the numbers.
17. Girish and Shirish can do a piece of work in 8days and 12days respectively. If they work together, in how many days would they finish the work?
18. If 20 men can finish a piece of work in 30 days, how many men should be added to finish the work in 24days?
19. Barma’s monthly income is Rs. 15000. His expenditure is as follows :
a. Food = 40% b. Education = 15% c. Clothing = 20%
d. Miscellaneous = 10%, Find his saving per month.
20. Draw a PQR with vertices P(1,3), Q(4,1) and R(3,5) on a graph paper. Find the co-ordinates of images P', Q' and R' .When PQR is rotated through 900 clockwise about the origin. Draw the image on the same graph paper.
21. In the given figure, AB = CD and AB // CD , Prove that AD = DO and CO = BO.
22. In the figure alongside, ii. DE2 = DF.DM
23. Calculate the mean from the table given below;
Class interval 0-10 10-20 20-30 30-40 40-50
Frequency 3 8 12 7 2


Best of Luck