Mathematics I - For Class IX (Science Group) - Past Paper 2022- 2025 (New Book - Chapter wise) - Question & Answer

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Mathematics Paper I
For Class IX (Science Group)

By Sir Wasim Ahmad
(ICS Digital Virtual Coaching)

Past Paper 2022- 2025 (New Book)
Unit Wise

Theorem	Year
9.1.3 In correspondence of two triangles, If three sides of one triangle are congruent to the corresponding three sides of the other then the two triangles are congruent. Prove it.	2023
9.1.1 In any correspondence of two triangles, If one side and any two angles of one triangle are congruent to the corresponding sides and angles of the other, the two triangles are congruent. Prove it.	2022
Unit 9 Short
9.1.2 If two angles of a triangle are congruent, then the sides opposite to them are also congruent. Prove it.	2022
Unit 10 'Section-C'
10.1.2 If two opposite sides of a quadrilateral are congruent and parallel, it is a parallelogram, prove it.	2025
10.1.1 In parallelogram, the opposite sides are congruent, the opposite angles are congruent, the diagonal bisect each other. Prove it.	1. 2024
10.1.2 If two opposite sides of a quadrilateral are congruent and parallel, it is a parallelogram, prove it.	2023
Unit 10 'Section-B'
10.1.2 If two opposite sides of a quadrilateral are congruent and parallel, it is a parallelogram, prove it.	2022
Unit 11 'Section-B'
11.1.3 The right bisectors of the sides of a triangle are concurrent. Prove it.	2025
11.1.4 Any point on the bisector of an angle is equidistant from its arms. Prove it.	2025
11.1.3 The right bisectors of the sides of a triangle are concurrent. Prove it.	2024
11.1.4 Any point on the bisector of an angle is equidistant from its arms. Prove it.	2023
- OR - 11.1.4 Any point on the bisector of an angle is equidistant from its arms. Prove it.	2022
Unit 12 'Section-B'
12.1.2 If two angles of a triangles are unequal in measure, the side opposite to the greater angle is longer than the side opposite to the smaller angle. Prove it.	2025
12.1.3 The sum of the length of any two sides of a triangle is greater than the length of the third side. Prove it.	2024
12.1.2 If two angles of a triangles are unequal in measure, the side opposite to the greater angle is longer than the side opposite to the smaller angle. Prove it.	2023
Unit 13 'Section-B'
13.2 -- OR -- Construct a triangle ABC in which mBC = 6cm, mAC = 4cm and mAB = 5cm. Draw the bisectors of ∠A and ∠B (steps of Construction not required).	2025
13.2 -- OR -- Construct a triangle PQR in which mPQ = 5.7cm, mQR = 6.4cm and mPR = 4.4cm. Draw the altitude from vertex Q and R	2024
13.2 -- OR -- Construct a ∆ABC in which mBC = 6cm, mAC = 4cm and mAB = 5cm. Draw the bisectors of angle A and B.	2023
13.1 Construct a ∆PQR, in which mPR = mQR = 4.7 cm and ∠P = 55°.	2022
Unit 14 'Section-B'
14.1.4 Triangles on equal bases and equal altitudes are equal in area. Prove it.	2024
14.1.4 Triangles on equal bases and equal altitudes are equal in area. Prove it.	2023
Unit 14 'Section-C'
15.1.2 In any triangle, the square on the side opposite to an acute angle is equal to the sum of the squares on the sides containing that acute angle diminished by twice the rectangle contained by one of those sides the projection on it of the other. Prove it.	2025
15.1.3 --OR-- In any triangle, the sum of square on any two sides is equal to twice the square on half of the third side together with twice the square on the median which bisect the third side, (Apollonius theorem)	2024

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