Class 10 PT I Question Paper 2024-25 Maths

PERIODIC TEST
QUESTION PAPER
Question Paper for CBSE Board, KV Schools,
State Board following NCERT Syllabus

PT 1 | PT 2

Question Paper based on NCERT Syllabus
CBSE Board Question Paper / KV Schools Question Paper

PERIODIC TEST-1 (2024-2025)
CLASS-10 (MATHS)
T:Marks:40 Time:-90 minutes
INSTRUCTIONS:-

1. All questions are compulsory

2.This question paper have 19questions which is divided into 3 section

3. Section – A have 10 questions of 1 mark each. Section- B have 2 CCT

questions of 4 marks each , and 2 assertion and reason based questions of 1 mark

4. Section –C have 6 questions. 2 questions of 2 marks each , 2 questions of 3 marks
each and 2 questions of 5 marks each.

S.NO SECTION-A (10X1=10) MARKS
1 Which of the following numbers can be written as a non-terminating but 1
recurring decimal? (a) 9 (b) 43 /8 (c) √6
(d) 5 /12
2 If √x is irrational number, then x is 1
(a) rational (b)irrational (c)0 (d) real
3 (-2-√ 3)(-2+√ 3) when simplified is . 1
(a) positive and irrational(b) negative and irrational
(c) negative and irrational (d)negative and irrational
4 If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and -3, then 1
(a) a = -7, b = -1 (b) a = 5, b = -1(c) a = 2, b = -6 (d) a= 0, b = -6
5 A quadratic polynomial, whose zeores are -4 and -5, is 1
(a) x²-9x + 20(b) x² + 9x + 20(c) x²-9x- 20 (d) x² + 9x- 20
6 If 1 is one of the zeroes of the polynomial x² + x + k, then the value of k is: 1
(a) 2 (b) -2 (c) 4(d) -4
7 A pair of linear equations a1x + b1y + c1 = 0; a2x + b2y + c2 = 0 is said to be 1
inconsistent, if

8 What will be the nature of the graph lines of the equations x+3y-2 and 2x-y+5? 1
(a) Parallel(b) Coincident (c) Intersecting(d) Perpendicular to each other
9 What will be the value of k, if the lines given by x+ky+3 and 2x+(k+2)y+6 are 1
coincident?
(a) 4 (b) 2 (c) 6 (d) 8
10 What will be the value of k, if the lines given by (5+k)x-3y+15 and (k-1)x-y+19 1
are parallel?
(a) 5 (b) 4 (c) 6 (d)7

SECTION –B (CCT)
11. A Mathematics Exhibition is being conducted in your School and one of your
friends is making a model of a factor tree. He has some difficulty and asks for
your help in completing a quiz for the audience

(a) What will be the value of x? 1
a) 15005 b) 13915 c) 56920 d) 17429
(b) What will be the value of y? 1
a) 23 b) 22 c) 11 d) 19
(c) What will be the value of z? 1
a) 22 b) 23 c) 17 d) 19
(d) According to Fundamental Theorem of Arithmetic 13915 is a 1
a) Composite number b) Prime number
c) Neither prime nor composite d) Even number
12. The scissors which is so common in our daily life use, its blades represent the
graph of linear equations

Let the blades of a scissor are represented by the system of linear equations:x +
3y = 6 and 2x – 3y = 12

(a) The pivot point (point of intersection) of the blades represented by the linear 1
equation x + 3y = 6 and 2x – 3y=12 of the scissor is
(a) (2,3) (b)(6,0) (c)(3,2)(d) (2, 6)
(b) The points at which linear equations x + 3y = 6 and 2x – 3y=12 intersect y–axis 1
respectivelyare
(a)(0,2)and(0,6) (b)(0,2)and(6,0)
(c)(0,2)and(0,–4) (d) (2, 0) and (0, –4)

(c) The number of solution of the system of linear equations x + 2y – 8 = 0 and 1
2x+4y=16is(a)0 (b)1 (c)2 (d) infinitely many

(d) If (1, 2) is the solution of linear equations ax + y = 3 and 2x + by = 12, then 1
values of a and b are respectively
(a)(1,5) (b)(2,3) (c)(–1,5 ) (d) (3, 5)

13. Directions: In the following questions, a statement of assertion (A) is followed
by a statement of reason (R). Mark the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct
explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct
explanation of assertion (A).
(C) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
(a) Assertion: x2+7x+12 has no real zeroes. 1

Reason: A quadratic polynomial can have at the most two zeroes.
(b) Assertion: (2 − √3) is one zero of the quadratic polynomial then other zero will 1
be (2 + √3)

Reason: Irrational zeroes (roots) always occurs in pairs.
SECTION –C
14. Find the HCF and LCM of 6, 72 and 120, using the prime factorisation method. 2
15. Find a quadratic polynomial, the sum and product of whose zeroes are – 3 and 2
2, respectively
16. Find the zeroes of the following quadratic polynomials and verify the 3
relationship between the zeroes and the coefficients. (i) 4u2 + 8u (ii) t 2 – 15
17. On comparing the ratios a1/a2, b1/b2 and c1/c2 , find out whether the lines 3
representing the following pairs of linear equations intersect at a point, are
parallel or coincident:
(i) 5x – 4y + 8 = 0, 7x + 6y – 9 = 0 (ii) 9x + 3y + 12 = 0 , 18x + 6y + 24 = 0
(iii) 6x – 3y + 10 = 0 , x – y + 9 = 0
18. Form the pair of linear equations for the following problems and find their 5
solution by substitution method.
A fraction becomes 9/11 , if 2 is added to both the numerator and the
denominator. If, 3 is added to both the numerator and the denominator it
becomes 5/6 . Find the fraction.
19. Prove that √5 is irrational. 5

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