Class 9 PT I Question Paper 2025-26 Maths

PERIODIC TEST
QUESTION
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PERIODIC TEST – 1 (2025-26)
CLASS – IX MATHEMATICS
T.T.: 01:30 Hrs. M.M.: 40 Marks
____________________________________________________________________________________
GENERAL INSTRUCTIONS:-
1.​ All questions are compulsory.
2.​ The Question Paper contains 20 questions divided into four Sections A, B, C, & D.
3.​ SECTION-A contains 10 questions of 1 mark each.
4.​ SECTION-B contains 3 questions of 2 marks each.
5.​ SECTION-C contains 4 Questions of 3 marks each.
6.​ SECTION –D contains 3 Question of 4 marks.
SECTION – A (1 marks each)
1
Q1. On rationalizing the denominator of is
2+ 3

(a)​2- 3 ​ (b) 2+ 3 ​ (c) 3 -2 ​ ​ (d) -2- 3 .
2

Q2. The Value of 32 5 ….
(a) 2 ​ ​ (b) 4 ​ (c) 16 ​ (d) 14
Q3. If x > 0 and y < 0 then the point (x , y) lie in quadrant
(a) II ​​ (b) I ​ (c) IV ​ ​ (d) III
3
Q4. If (x – 2) is a factor of 𝑥 – 3x +5a then the value of a is:
2 −2
(a) 1 ​​ (b) –1 ​ (c) 5 ​ ​ (d) 5

Q5. Which one is an example of monomial?
(a) 2 ​ ​ (b) x+y ​ ​ (c) x+y+z​ ​ (d) 2x+y-2x
Q6. Abscissa of a point is positive in
(a)​ I and II Quadrants ​ (b) I and IV Quadrants ​ ​
(c) I Quadrant only ​ ​ (d) II Quadrant only
Q7. Zero of the polynomial p(x) = 2x + 5 is………..
−2 −5 2 5
(a) 5
​ ​ (b) 2
(c) 5 ​ (d) 2 .

Q8. The ordinate of every point on the x-axis is
a)​ ( 0 ,Y)​ ​ ​ b) any rational Number​ c) 0​ ​ d) any real number

Q9. A rational number between ½ & ¾ is
a)​ 2/5​ ​ ​ b) 5/8​​ ​ c) 4/3​ ​ ​ d) 1/4
Q10. Which is an irrational number
(a) 0.6 ​ ​ (b) 2.565656… (c) 1.717117111… (D) None of these.
1

SECTION – B (2 marks each)
𝑝
Q11. Show that 0.3535353……. can be expressed in the form of 𝑞 where p and q are integer

and q≠ 0.
2
Q12. Expand the following: (4𝑎 − 𝑏 + 2𝑐)
Q13. Factorise 9x2 + 6xy + y2 using appropriate identities.

SECTION – C (3 marks each)
2+√3
Q14. Rationalize the denominator 2−√3
.

Q15. The three vertices of a square PQRS are P(3,2),Q(-2,2) and S(-3,3). Plot these points on
a graph paper and hence, find the co-ordinates of C. Also write the Quadrant in which
C lies.
Q16. Factorize the following: 64a3-27b3-144a2b+108ab2

Q17. Draw √5 OR 9. 3 on number line

SECTION – D (4 marks each)
3 2
Q18. (a) Factories 𝑥 +13𝑥 +32x+20
3−1
Q19. If = a-b 3, find the value of a & b.
3+1

Q20. Mrs. Rakhi lives in an undeveloped area where there is no facility of proper education.
But one thing is available in that area i.e., network. Since she was very keen to take
education, so she decided to complete her education through e-learning. One day she
was studying number system, where she learnt about rational numbers, irrational
numbers and decimal numbers, etc.

On the basis of the above information, solve the following questions:
a)​ Convert the rational number 2/15 into decimal number.

b)​ Write one irrational number between 2.365 and 3.125.
c)​ If x+√2=3, then find the value of 1/x.
d)​ Find the product of two irrational numbers (7+3√2) and (7−3√2).

2

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