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Class 9 Math Practice Test Online

This Class 9 Math practice test page helps students generate a quick math exam from sample questions. It works well for arithmetic, word problems, formulas, and chapter-wise revision.

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About this Class 9 Math practice test

This Class 9 Maths practice test follows the CBSE NCERT syllabus and is built to lay the foundation for Class 10 board preparation. The starter set covers the most-tested chapters — Number Systems, Polynomials, Coordinate Geometry, Linear Equations in Two Variables, Triangles, Quadrilaterals, Surface Areas & Volumes, Statistics and Probability — with a balanced mix of one-mark, three-mark and five-mark style questions. Use it for chapter tests, half-yearly revision, or a quick concept check before the annual exam. Each generated question comes with a step-by-step solution so a student practising at home can self-correct.

Class 9 Math Practice Test sample questions

These starter questions help you launch a math mock test quickly. Swap them with your own worksheet, notebook, or textbook questions any time.

1. Solve: x² - 5x + 6 = 0.
2. Find the value of (a + b)² if a = 3 and b = 4.
3. Rationalize the denominator: 1/√5.
4. If p(x) = x³ - 3x² + 4x - 2, find p(1) and p(0).
5. Find the zero of the polynomial p(x) = 2x + 5.
6. Plot the points A(2, 3) and B(−3, −2). In which quadrants do they lie?
7. Find the midpoint of the line segment joining (2, 4) and (6, 8).
8. Solve for x and y: 2x + 3y = 12 and x - y = 1.
9. In a triangle ABC, if ∠A = 50° and ∠B = 60°, find ∠C.
10. State and prove the Pythagoras theorem (statement only).
11. Find the area of a triangle with sides 8 cm, 15 cm and 17 cm using Heron's formula.
12. Find the surface area of a cube with side 6 cm.
13. Find the volume of a cylinder with radius 7 cm and height 10 cm. (Use π = 22/7)
14. The mean of 5 observations is 12. If a 6th observation is added and the new mean is 13, find the value of the 6th observation.
15. A coin is tossed 50 times and head appears 28 times. Find the probability of getting a tail.

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This page is built for students looking for class 9 math practice test, chapter practice, and quick school exam revision.

Why this practice page is useful

Use this Class 9 math practice test page to start with a ready-made sample instead of typing everything from scratch.

The generated paper mirrors the tone of a Class 9 math exam and works well for school revision, homework support, and quick mock tests.

You can replace the starter questions with your own textbook or worksheet content for more targeted math practice.

Answer key & quick explanations

Short answers for the sample questions above. Use this to self-check before generating a fresh AI-built mock test.

  1. x²-5x+6=0: (x-2)(x-3) = 0 → x = 2 or 3.
  2. (a+b)² with a=3,b=4: (3+4)² = 49.
  3. Rationalize 1/√5: Multiply num & den by √5 → √5/5.
  4. p(1) and p(0): p(1) = 1-3+4-2 = 0; p(0) = -2.
  5. Zero of 2x+5: x = -5/2.
  6. Plot points: A(2,3) lies in Quadrant I; B(-3,-2) lies in Quadrant III.
  7. Midpoint: ((2+6)/2, (4+8)/2) = (4, 6).
  8. Solve linear pair: From x-y=1 → x = y+1. Substitute: 2(y+1)+3y=12 → 5y=10 → y=2, x=3.
  9. ∠C in triangle: ∠C = 180° - 50° - 60° = 70°.
  10. Pythagoras theorem: In a right-angled triangle, the square on the hypotenuse equals the sum of the squares on the other two sides: c² = a² + b².
  11. Heron's area: s = (8+15+17)/2 = 20; Area = √(20·12·5·3) = √3600 = 60 sq cm.
  12. Cube surface area: 6a² = 6×36 = 216 sq cm.
  13. Cylinder volume: πr²h = (22/7)×49×10 = 1540 cubic cm.
  14. 6th observation: Sum of 5 = 60; sum of 6 = 78 → 6th = 18.
  15. P(tail): Tails = 50-28 = 22 → P = 22/50 = 11/25.

Class 9 Math chapters covered

Typical NCERT / board-syllabus chapters this practice test draws from. Paste questions from any chapter below to generate a focused chapter-wise mock test.

  • Number Systems
  • Polynomials
  • Coordinate Geometry
  • Linear Equations in Two Variables
  • Introduction to Euclid's Geometry
  • Lines and Angles
  • Triangles
  • Quadrilaterals
  • Areas of Parallelograms and Triangles
  • Circles
  • Constructions
  • Heron's Formula
  • Surface Areas and Volumes
  • Statistics
  • Probability

How to use this class 9 math practice test page

1. Open the ready-made starter and generate the test.

2. Review the output as a quick Class 9 math mock test.

3. Replace the starter with your own chapter questions for more accurate revision.

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