CBSE Class 8 Mathematics Practice Paper 2020-21
Class-VIII
Time- 2:30 Hour
Maximum Marks-80
All questions are compulsory.
A- Multiple choice questions-(10)
1- Which of the following is the square of even number?
a) 9
b) 36
c) 169
2- Which of the following is the perfect square a number?
a) 256
b) 362
c) 168
3- Which of the following is a unit place digit in a square of 258?
a) 2
b) 8
c) 4
4- The cube of (-4) is-
a) -16
b) 64
c) -64
5- The reversed number of 396 is-
a) 693
b) 936
c) 369
6- Which of the following is divisible by 6?
a) 193
b) 150
c) 635
7- Multiply of (-2x X 3y) is-
a) 6x
b) -6xy
c) 6xy
8- Divide 12x by 36 is-
a) 1/3
b) 3x
c) x/3
9- The HCF Of 3x and 12 is
a) 3
b) 3x
c) 12
10- (a-b) (a+b)=_______
a) (a-b)2
b) b2-a2
c) a2-b2
B. Fill in the blanks- 8
1- (a+b)2=a2+b2+_______
2- Generalized form of 96=_______
3- The next two numbers in 29, 25, 21, 17, 13,____,_____
4- The next two numbers in 1,3,9,27, 81,_____,_____
5- 300 angle is obtained by bisecting the ______angle.
6- The compliment of 850
7- 750 is the supplementary angle of________.
8- Profit %= (profit x 100) /________.
C. Very short answer type questions- 20
1- If 21x 5 is a multiple of 9, where x is a digit, what is the value of x?
2- Add- yx-yz, zy-zy, xz-xy
3- Subtract- (-5x3+x-11)-(6x3+x2-2x)
4- Find the area of a rectangle with the length and breadth respectively 5a2b, 5 b
5- Express 81 as the sum of first n odd numbers.
6- Find square root of 1156 by using long division method.
7- Find cube root of 5832 by prime factorization.
8- Regroup and factorize (ax-2b+bx-2).
9- Solve equation by using elimination method: 8y+3=27+2y.
10- Construct a quadrilateral ABCD where AB=3 cm, BC=4 cm, CD= 5 cm, AC= 6.5 cm and BD=7.5 cm.
D. Short answer type questions.(Do any 6) 18
1- Using suitable identities evaluate (49)2
2- If (x – )=10, find the value of (x2 + )
3- Factorise x2+3x-10
4- Factorise and divide (5x2-25x+20)÷ (x-4)
5- Using cross multiplication method solve this: =
6- The sum of the digits of a two digit number is 14. If the number formed in reversing the digits is less than the original lumber by 18. Find original number.
7- The cost of a chocolate is Rs. (2x + y). Tina bought 2(x + 2y) chocolates. Find the total amount paid by her in terms of x.
E. Long answer type questions (Do any 6) 24
1- In a school, number of boys are 160 more than the girls. If there are 45 girls in the school, find the number of girls in the school.
2- What is the single discount equivalent to two successive discounts of 50% and 50%.
3- Construct a rhombus PQRS. Given that PQ= 8 cm and / Q=750
4- Construct a square PQRS, the measure of whose one side is 7.6 cm.
5- The denominator of a rational number is less than its denominator than 5. If 5 is added to the numerator the new number becomes 11/6. Find the original rational number.
6- The area of a rectangle is 2x2-9x+10. If its breadth is (x-2) then find its length.
7- A positive number is 3 times another number. If 3 is added to the smaller number the difference between new number and greater becomes 31. What are the numbers?