ZEBAR SCHOOL FOR CHILDREN
CLASS IX – MATHEMATICS (2024 – 2025)
Revision Worksheet-PT1
Name: _______________________ Section: ____ Roll No.: ____ Date: ______
• Choose the correct option.
3
1. The smallest rational number by which 7 should be multiplied so that its decimal expansion
terminates after one place of decimal, is:
7 3 7 1
(a) 3 (b) 70 (c) 30 (d) 30
2. Two complementary angles are such that two times the measure of one is equal to three times
the measure of the other. The measure of the smaller angle is:
(a) 45° (b) 30° (c) 36° (d) 55°
3. If the point (3 , a - 3) is on x axis, then the value of a is:
(a) 3 (b) 0 (c) -3 (d)1
4. Which of the following is a solution for the equation 2x – 5y = 16?
(a) (2, 6) (b) (3, 5) (c) (8, 0) (d) (7, 2)
−1
−1 4
1 −2 3
5. The value of m for which [{(72 ) } ] = 7𝑚 , is:
1 1
(a) 3 (b) 4 (c) −3 (d) 2
6. Which of the following is a rational number?
4 √1250 √24
(a) √9 (b) (c) √8 (d)
√8 √8
7. Which of the following is the equation of a line passing through (1, –1)?
(a) 𝑥 − 𝑦 = 0 (b) 𝑥 + 𝑦 = 0 (c) 𝑥 = 2𝑦 (d) 𝑦 = 2𝑥
8. In the equation 5x – 7y = 35, if y = 5, then 2x – y is:
(a) 0 (b) 15 (c) 23 (d) 14
9. If lines AB and CD intersect each other at O, then which of the following statements are false?
(a) ∠AOC and ∠BOD are adjacent angles.
(b) ∠AOD and ∠BOD are supplementary angles.
(c) ∠AOC and ∠BOC form a linear pair.
(d) ∠AOD and ∠BOC is a pair of vertically opposite angles.
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.
Class IX / Mathematics / PT – 1 Revision worksheet / 2024-2025 Page 1 of 3
10. Assertion: There are infinitely many rational numbers between any two integers.
Reason: The square of an irrational number is always a rational number.
11. Assertion: AB∥ CD, ∠BAO= 60° and ∠OCD= 110°, then ∠AOC= 50°.
Reason: If two parallel lines are intersected by a transversal, then each pair of alternate
interior angles are equal.
12. Cost of a book exceeds twice the cost of a geometry box by ₹10. Form a linear equation to
represent this. Find its three solutions.
13. A point M(-a, b) is in the second quadrant . If the sign of a and b are interchanged, then in
which quadrant will it lie?
14. If an angle is half of its complementary angle then find both the angles.
2
15. (a) Simplify: (√5 − √3)
−1
256 𝑥16 4
(b) Simplify: ( 81 𝑦 4 )
16. Simplify:
4 3 5
(i) √81 − 8√216 + 15 √32 + √225
3 4 8 −12 32 6
(ii) (5) (5) (5)
1 1
83 ×163
(iii) −1
32 3
17. Find the measure of an angle which is 32° less than its supplement.
18. Two complementary angles are in ratio of 4:5. Find the angles.
19. In the given figure, if PQ||RS, then find the measure of m.
20. In the given figure, PQ||RS and EF||QS. If ∠PQS = 60°, then find the measure of ∠RFE.
21. In figure, if AB||CD. If ∠ABR = 45° and ∠ROD = 105°, then find ∠ODC.
22. In the given figure, rays OC, OP and OQ stand on the line AB. If ∠AOP = 30°, ∠BOQ = 50°
and ∠COP:∠COQ = 2:3, then find ∠COP, ∠COQ and ∠COB.
.
(Q 19) (Q 20) (Q 21) (Q 22)
23. Case study 2:
In a game period, the teacher of a school decided to M
play. For this, the teacher first made the geometrical
design on the ground as shown in the figure in such a
way that 𝑙 ∥ 𝑚. Then the teacher invited two students
Vicky and Vishal to stand at point A and B respectively.
Based on the above information, answer the following
questions.
(i) Find measure ∠𝐶𝐷𝐵.
(ii) Find measure ∠𝐷𝐴𝐵.
(iii) Find measure ∠𝑀𝐷𝐻.
Class IX / Mathematics / PT – 1 Revision worksheet / 2024-2025 Page 2 of 3
24. In a village, point A indicates school, point B and point C represent Ram’s and Mohan’s
house respectively. They have a hospital at point D. Point E and F indicates a garden and
gram panchayat office respectively.
Observe the graph and answer the following questions:
(a). Write the coordinates of mirror image of point F with
respect to x – axis. Which point has coordinates (-1, - 2)?
(b). Which places are there in quadrant II?
Find the Abscissa of school – ordinate of garden.
2 1
25. Write 5 irrational numbers between 3 and 4.
26. If the transversal intersects two lines such that the bisectors
of a pair of corresponding angles are parallel, then prove that
the two lines are parallel.
𝑝
27. Express each of the following decimals in the form 𝑞:
(i) 5. 2̅ ̅̅̅̅
(ii) 0.00352
28. Represent the following on number line:
(i) √8 (ii) √10.5
29.In the given figure, if PQ∥RS, ∠MXQ=135° and ∠MYR= 40°, find ∠XMY.
30. In the figure, AB∥CD and CD∥EF. Also EA⊥AB. If ∠BEF=55°, find the values of x, y and z.
1 1
31. If 𝑥 = 2 + √3, find the values of (i) √𝑥 − 𝑥 (ii) 𝑥 2 + 𝑥 2 .
√
3√2−2√3 √12
32. If + = 𝑎 + 𝑏√2, then find a and b.
3√2+2√3 √3−√2
33.In the given figure, AD || BC, ∠BAD = 62°, ∠BDC = 32° and ∠DCE = 70°, then find 𝑥, 𝑦 and 𝑧.
(Q 29) (Q 30) (Q 33)
5−1 ×49 7 5−2 ×343 −5
34. Simplify: (25 ×7−4)2 ÷ (125×7−5 ) 2
√3+√2 √3−√2
35. If 𝑎 = and 𝑏 = , then find the value of 𝑎2 + 𝑏 2
√3−√2 √3+√2
5 1
(25)2 ×(729)2
36. Simplify: 2 4 2
(125)3 ×(8)3 ×(27)3
1 1
37. If 𝑥 = 1 − √2, find the value of (i) 𝑥 + 𝑥 (ii) 𝑥 − 𝑥
38. In the figure, if𝐴𝐵 ∥ 𝐶𝐹 and if𝐶𝐷 ∥ 𝐸𝐹, then
find the value of 𝑥.
2 𝑥 3 2𝑥 81
39. Find 𝑥, if ( ) . ( ) =
3 216
√6 3√2 4√3
40. Simplify: + −
√2 + √3 √6+√3 √6+√2
(Q 38)
Class IX / Mathematics / PT – 1 Revision worksheet / 2024-2025 Page 3 of 3
