Class 9 Maths builds the foundation for Class 10 and competitive exams. Regular practice sets help students understand concepts deeply, improve speed, and reduce exam fear.
Below are practice sets based on important Class 9 Maths chapters. These are ideal for school exams, unit tests, and self-study.
📘 Practice Set 1: Number Systems
1. Find the value of:
√196 – √81
2. Express 0.375 in rational form.
3. Is √7 a rational or irrational number? Give reason.
4. Simplify:
(3√5 × 2√3)
5. Write two irrational numbers between 2 and 3.
📘 Practice Set 2: Polynomials
1. Find the degree of the polynomial:
5x³ – 4x² + 7x – 9
2. Find the value of the polynomial 2x² – 3x + 1 at x = 2.
3. Identify the type of polynomial:
7y
4. Find the zero of the polynomial:
x – 5
5. If p(x) = x² – 9, find p(3).
📘 Practice Set 3: Linear Equations in Two Variables
1. Write the solution of:
x + y = 6, when x = 2
2. Find any two solutions of:
2x + y = 7
3. Check whether (2, 3) is a solution of:
x + 2y = 8
4. Write the equation represented by the table:
x = 1, y = 4
x = 2, y = 3
5. How many solutions does a linear equation in two variables have?
📘 Practice Set 4: Lines and Angles
1. If two lines intersect, how many angles are formed?
2. If two angles are complementary and one angle is 35°, find the other.
3. Vertically opposite angles are always
(a) unequal
(b) supplementary
(c) equal
(d) acute
4. If a line intersects two parallel lines, the alternate interior angles are
(a) equal
(b) unequal
(c) obtuse
(d) right angles
5. Find the value of x if angles on a straight line are (3x + 20)° and (2x – 10)°.
📘 Practice Set 5: Triangles
1. State the Pythagoras theorem.
2. Find the hypotenuse of a right-angled triangle with sides 6 cm and 8 cm.
3. If two triangles have the same base and same height, their areas are
(a) equal
(b) different
(c) zero
(d) undefined
4. Which criterion proves triangle congruence?
(a) AAA
(b) SSA
(c) SAS
(d) AAS
5. Can a triangle have sides 2 cm, 3 cm, and 6 cm? Give reason.
✅ Answer Key (Quick Check)
Set 1:
- 5
- 3/8
- Irrational
- 6√15
- Example: √5, √6
Set 2:
- 3
- 3
- Monomial
- 5
- 0
Set 3:
- y = 4
- (1,5), (2,3)
- No
- x + y = 5
- Infinite
Set 4:
- 4
- 55°
- (c)
- (a)
- x = 14
Set 5:
- Statement of theorem
- 10 cm
- (a)
- (c)
- No (violates triangle inequality)
How to Use These Practice Sets
- Solve without looking at answers
- Write full steps for theory questions
- Time yourself for each set
- Revise weak chapters