Class 10 maths unit test 1 periodic test 1 question paper |

periodic test 1 question paper class 10 math

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###
XYZ SCHOOL

### PERIODIC TEST -1
EXAMINATION-(2022-23)

### SUBJECT: MATHEMATICS MAX. MARKS : 10

**CLASS : X DURATION : 1 HRS**

### General Instructions:

(i).
**All **questions are compulsory.

(ii). This question paper contains
11** **questions divided into three Sections
A, B and C.

(iii). **Section A **comprises of 04 questions of **1/2
mark **each. **Section B **comprises
of 06 questions of **1 marks **each. **Section C **comprises of 01 question of **2 marks **.

# __SECTION__ __–__ __A__

**Questions 1 to 4 carry 1/2 mark each.**

1.
If
two positive integers a and b are written as a = x^{5}y^{3} and
b = xy^{2 }; x, y are prime numbers, then HCF (a, b) is

(A)xy (B)xy^{2} (C)x^{3}y^{3} (D)x^{2}y^{2}

2.
The
least number that is divisible by all the numbers from 1 to 10 (both inclusive)
is

(A)10 (B)100 (C)504 (D)2520

3.
The
product of a non-zero rational and an irrational number is:

(A)
always
irrational (B) always rational (C) rational or irrational (D) one

4.
The
zeroes of the quadratic polynomial x^{2} + 99x + 127 are

(A)
both positive (B) both
negative (C) one positive and one negative

(D) both equal

# __SECTION__ __–__ __B__

__ __Questions 5 to 8 carry 1 mark each.

__Questions 5 to 8 carry 1 mark each.__

5.
The
numbers 525 and 3000 are both divisible only by 3, 5, 15, 25 and 75. What is
HCF (525, 3000)? Justify your answer

6.
Prove
that root(7)*+
5* is
irrational.

7.
Find
the zeroes of the following quadratic polynomial and verify the relationship
between the zeroes and the coefficients: 5t ^{2} + 12t + 7.

8. Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively: root(3) and 1/3.

9.
Half
the perimeter of a rectangular garden, whose length is 4 m more than its width,
is 36 m. Find the dimensions of the garden.

10. Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx + 3.

__SECTION__ __–__ __C__

** Question 11 carry
2 marks**

11.
Solve the following pair of linear equations
by the elimination method: 3x-5y-4=0 , 9x =

# 2y +7

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