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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 = x5y3 and
b = xy2 ; x, y are prime numbers, then HCF (a, b) is
(A)xy (B)xy2 (C)x3y3 (D)x2y2
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 x2 + 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.
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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