# Class 10 Mathematics Unit Test Model Paper

PERIODIC TEST-I (2021-22)
CLASS – X
MATHEMATICS
M.M: 20
Instruction- All questions are compulsory.

Q. 1 Choose the correct option (Multiple Choice Questions). 1 × 2 = 2

i) The number 1.732 is

a) an irrational number

b) a rational number

c) an integer

d) a whole number

ii) Which of the following is a true statement?

a) x2+ 5x – 3 is a linear polynomial.

b) x2 + 4x – 1 is a binomial.

c) x + 1 is a monomial.

d) 5 x2 is a monomial.

Q. 2 Very Short Answer Questions. 1 × 3 = 3

i) Find the zeroes of the quadratic polynomial x2 – 2x – 8.

ii) Find a quadratic polynomial with 2 and – 15 as the sum and product of its zeroes respectively.

iii) 5 pencils and 7 pens together cost ₹ 50, whereas 7 pencils and 5 pens together cost ₹ 46.Represent this situation algebraically

Q. 3 Short Answer Questions Type-I 2 × 2 = 4

i) Find the LCM and HCF of 26 and 91 and verify that LCM × HCF = Product of the two numbers.

ii) Find the value of ‘k’ for which the system of equation x + 2y – 3 = 0 and 5x + ky + 7 = 0 has no solution.

Q. 4 Short Answer Questions Type-II 3 × 2 = 6

i) Prove that 3 + 2 is irrational.

ii) Ritu can row downstream 20 km in 2 hours, and upstream 4 km in 2 hours. Find her speed of rowing in still water and the speed of the current.

Q. 5 Long Answer question. 5 × 1 = 5

i) Obtain all other zeroes of 3x4 + 6x3 – 2 x2 – 10x – 5, if two of its zeroes are √5/3 and -√5/3 .