Mathematics class 8

TEST-1

Q 1. Name the parallelogram in which all sides are equal but no angle is 90°.

Q 2. Name the parallelogram in which each angle is 90°but no adjacent sides be equal.

Q 3. Name the parallelogram in which all sides are equal and each angle is 90°.

Q 4. Name the quadrilateral in which one pair of opposite sides are parallel.

Q 5.Write the square root of 102030201.

Q 6. Write the cube of 27.

Q 7. Write the square root of 123454321.

Q 8. Write the cube root of 24389.

Q 9. Write the coefficient of -3x².

Q 10. complete the formulae.
(a) (a+b)² = ......
(b) (a- b)² = .......
(c) a² - b² = .......

Q 11. Expand the following.
(a) (2y+1)² = ......
(b) (5m- 2)² = .......
(c) (1/2m - 1)² = .......

Q 12. Factorise the following.
(a) 2x² +13x -7
(b) x² - 3x -10

Q 13. Factorise .
(a) x² - (4-y)²
(b) X⁴ - 16

TEST-2

Q 1.Write the diagonal property of a square.

Q 2.Write the diagonal property of a rectangle.

Q 3.Write the diagonal property of a rhombus.

Q 4.Write the diagonal property of a parallelogram.

Q 5.Write the square root of 10000200001.

Q 6.Write the square of 66667.

Q 7.Write the square root of 444444888889.

Q 8.Write the square of 1000001.

Q 9.Write the square root of 12345654321.

Q 10.Write the cube root of 1000000.

Q 11.Write the first 10 prime numbers.

Q 12.Write the sum of coefficients of x and y in the expression -8x + 9y + 10z.

Q 13.Write the number of terms in the expression xyz + y.

Q 14. Solve the equation:
5x - 10/3 = 1/2

Q 15.Evaluate:
7⁰ − 6 × 9⁰ + 8

Q 16.Find the value of m.
(1/5)²ᵐ⁻⁴ = (1/25)³⁻ᵐ

TEST-3

Q.No.	Questions
1.	Solve the following equations: (i) 2y - 3 = 1/2 (ii) 5y/6 + 3/4 = -y + 8 (iii) (3x-5)/4 + (2-x)/6 - 1/3 = x/2 (iv) 7(m - 9) - (8- 3m ) + 5 = 3 - (m +5)
2.	Write the additive inverse of (A) -5/7 (B) 2/9
3.	Write the multiplicative inverse of (a) -1 (b) 6/7 (c) -2/5
4.	Simplify : 2/3 + 5/6 - 7/2
5.	Express 100 as the sum of odd numbers.
6.	Fill in the blanks: (i) 52 + (...)2 + (...)2 = 312 (ii) (...)2 + 82 + 562 = (...)2 (iii) 62 + 72 + (...)2 = (...)2
7.	Find the sum of the squares of the first 21 odd numbers.
8.	What will be the square of 111111 ?
9.	(10001)2= .....

TEST - 4

1. Write five rational numbers between 1/2 and 2/3 .
2. Find the reciprocal of: a) 8
   b) 2/5
3. Verify whether rational numbers are closed under multiplication.
4. The sum of three consecutive integers is 51. Find the integers.
5. Twice a number added to 9 gives 31. Find the number.
6. How many diagonals does a pentagon have?
7. State whether True or False: a) A rectangle is a parallelogram
   b) All rhombuses are squares
8. Find the sum of interior angles of a hexagon.
9. Name the quadrilateral whose diagonals are equal and bisect each other.
10. Find the mean of: 12, 15, 18, 20, 25
11. Find the probability of getting: a) An even number on a dice
    b) A head when a coin is tossed
12. Find the square of: a) 35
    b) 0.6
13. Find the square root of: a) 144
    b) 729
14. Find the smallest number by which 180 must be multiplied to get a perfect square.
15. Find the cube of 7.
16. Find the cube root of 512.
17. Is 10648 a perfect cube? Justify.
18. Find the area of a rectangle whose length is 8 cm and breadth is 5 cm.
19. Find the perimeter of a square with side 6 cm.
20. Find the area of a trapezium with parallel sides 10 cm and 14 cm and height 6 cm.