Class 10 PT I Question Paper 2025-26 Maths

PERIODIC TEST
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Periodic Test 1 Question Paper 2025-26
-- AGLASEM --

PERIODIC TEST –I
CLASS-10 (MATHS )
SESSION -2025-26
Time:90 min
T.Mark :- 40

INSTRUCTION:- ​

1.​ ALL QUESTIONS ARE COMPULSORY.
2.​ ATTEMPT QUESTION ACCORDING TO SECTIONS.
3.​ USE OF CALCULATOR IS NOT PERMITTED.

S.NO SECTION –A (4X1=4) MARK
1 Find the HCF of 30 and 42 . 1
2. Write the degree of the polynomial 2x3 - 3x2 + 4 . 1
3. Find the value of k such that the pair of equations 3x+ky =12 and 1
6x +10y =24 has no solution.
4. What is the value of p(x) if p(x) = x2-5x+6 and x=2? 1
​ SECTION –B (4X2=8)

5. Find the LCM and HCF of 48 and 60 and verify the relation 2
a x b = LCM x HCF
6. A quadratic polynomial has zeroes 5 and -2 .write the polynomial 2
and find the sum of its zeroes.
7. Solve the pair of equations. 2
2x+3y=12
4x+6y=24
What do you observe about the solution ? what does it represent
graphically?
8. If α and β are the zeroes of x2+4x+3 , find the value of α2+β2 2
SECTION –C (4X3=12)
9. The product of zeroes of a quadratic polynomial is 4 times their sum. 3
If one of the zeroes is 2, find the polynomial.
10. Solve the following pair of equations using substitution or 3
elimination method.
1 1 5 1 1 1
𝑥
+𝑦 =6 , 𝑥
--𝑦 = 6
11. A two –digit number is such that the product of its digits is 18. When 3
63 is subtracted from the number, the digits interchange their places.
Find the number.
12. Draw the graphs of the equations 2x+y=6 and 4x-y =5 on same graph 3
paper. Find the point of intersection
SECTION-D COMPETENCY BASED QUESTIONS (4X4=16 )
13. The product of two consecutive positive integers is 306. Form a 4
quadratic equation and solve it.
14. The difference between two numbers is 4. The difference of their 4

4
reciprocals is 21 . find the numbers
15. Find the zeroes of the quadratic equation 2x2+x -4 =0 using quadratic 4
formula
16. The altitude of a right triangle is 7 cm less than its base. If the 4
hypotenuse is 13 cm, find the other two sides.

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