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Class 10 Math Practice Test Online

This Class 10 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 10 Math practice test

This Class 10 Maths practice test is built for CBSE board candidates revising the full NCERT syllabus — quadratic equations, arithmetic progressions, trigonometry, coordinate geometry, surface area & volume, and statistics. The starter set deliberately mixes multiple question patterns: direct formula application, two-step word problems, and one HOTS-style proof. Use it as a 30-minute speed test before a chapter exam, or replace the sample with previous-year board questions to generate a similarly-styled mock. Each question comes back with a step-by-step solution so a student practising alone can check the working method, not just the final number.

Class 10 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: 2x² - 7x + 3 = 0 (use quadratic formula).
2. Find the discriminant of x² + 4x + 4 = 0 and comment on the nature of roots.
3. The 7th term of an AP is 34 and the 13th term is 64. Find the AP.
4. Find the sum of the first 20 terms of the AP: 5, 8, 11, ...
5. Prove: (1 + tan²A)/(1 + cot²A) = tan²A.
6. If sinθ = 3/5, find cosθ and tanθ.
7. From a point 30 m away from the foot of a tower, the angle of elevation of its top is 60°. Find the height of the tower.
8. Find the distance between (−2, 3) and (4, −5).
9. Find the coordinates of the midpoint of A(−1, 4) and B(5, −2).
10. Find the area of a triangle whose vertices are (1, 1), (4, 5), (−2, 3).
11. The radii of two circles are 8 cm and 6 cm. Find the radius of the circle whose area is equal to the sum of the areas of the two circles.
12. A cone of height 24 cm has a curved surface area 550 cm². Find its radius. (Use π = 22/7)
13. The mean of 5 numbers is 18. If one number is excluded, the mean becomes 16. Find the excluded number.
14. Find the median of: 19, 25, 59, 48, 35, 31, 30, 32, 51.
15. Two dice are thrown. Find the probability of getting a sum of 7.

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This page is built for students looking for class 10 math practice test, chapter practice, and quick school exam revision.

Why this practice page is useful

Use this Class 10 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 10 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. 2x² - 7x + 3 = 0: x = (7 ± √25)/4 → x = 3 or x = 1/2.
  2. Discriminant of x²+4x+4: D = 16 - 16 = 0 → real and equal roots (x = -2).
  3. AP from 7th=34, 13th=64: d = 5, a = 4 → AP: 4, 9, 14, 19, ...
  4. Sum of 20 terms of 5,8,11,...: S₂₀ = 20/2 (2×5 + 19×3) = 10 × 67 = 670.
  5. Trig identity proof: LHS = sec²A / cosec²A = (1/cos²A)×sin²A = tan²A = RHS.
  6. sinθ = 3/5: cosθ = 4/5, tanθ = 3/4.
  7. Tower height: h = 30 tan60° = 30√3 m ≈ 51.96 m.
  8. Distance (−2,3),(4,−5): √((6)² + (-8)²) = √100 = 10 units.
  9. Midpoint of A,B: ((-1+5)/2, (4-2)/2) = (2, 1).
  10. Area of triangle: 1/2 |1(5-3)+4(3-1)+(-2)(1-5)| = 1/2 |2+8+8| = 9 sq units.
  11. Equivalent circle radius: r² = 8² + 6² = 100 → r = 10 cm.
  12. Cone radius: πr√(r² + h²) = 550 → solving gives r = 7 cm.
  13. Excluded number: Sum of 5 = 90, sum of 4 = 64 → excluded = 26.
  14. Median of 9 numbers: Arrange: 19,25,30,31,32,35,48,51,59 → 5th term = 32.
  15. P(sum=7): Favourable outcomes = 6, total = 36 → 6/36 = 1/6.

Class 10 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.

  • Real Numbers
  • Polynomials
  • Pair of Linear Equations in Two Variables
  • Quadratic Equations
  • Arithmetic Progressions
  • Triangles
  • Coordinate Geometry
  • Introduction to Trigonometry
  • Some Applications of Trigonometry
  • Circles
  • Areas Related to Circles
  • Surface Areas and Volumes
  • Statistics
  • Probability

How to use this class 10 math practice test page

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

2. Review the output as a quick Class 10 math mock test.

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

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