CBSE Class 8 Maths Practice Paper 2026-27

20 questions · MCQ · Answer key · A4

A 20-question CBSE Class 8 Maths practice paper for 2026-27 on algebra, mensuration, interest, profit & data handling. Free to view and print on A4, no login needed; the answer key with worked solutions is below the questions.

Mathematics — Class 8 Practice Paper

Algebra, Mensuration & Data Handling

  • Board: CBSE
  • Class: 8
  • Time: 60 minutes
  • Max Marks: 80
  • Questions: 20

Instructions: All questions are compulsory. Each question carries 4 marks. There is no negative marking. Choose the most appropriate option.

  1. Q1.

    Factorise: x² − 9

    1. (A) (x+3)(x+3)
    2. (B) (x−3)(x−3)
    3. (C) (x+3)(x−3)
    4. (D) (x+9)(x−1)
  2. Q2.

    Volume of a cube with side 6 cm:

    1. (A) 36 cm³
    2. (B) 216 cm³
    3. (C) 108 cm³
    4. (D) 252 cm³
  3. Q3.

    Arjun's compound interest on ₹8,000 at 10% per annum for 2 years?

    1. (A) ₹1,600
    2. (B) ₹1,640
    3. (C) ₹1,680
    4. (D) ₹1,720
  4. Q4.

    (a + b)² = ?

    1. (A) a² + b²
    2. (B) a² + 2ab + b²
    3. (C) a² − 2ab + b²
    4. (D) a² + ab + b²
  5. Q5.

    Curved surface area of cylinder: r=7 cm, h=10 cm (π=22/7):

    1. (A) 220 cm²
    2. (B) 550 cm²
    3. (C) 440 cm²
    4. (D) 660 cm²
  6. Q6.

    Solve: (2x − 5)(x + 3) = 0. Solutions?

    1. (A) x = 5, x = −3
    2. (B) x = −5/2, x = 3
    3. (C) x = 2/5, x = 3
    4. (D) x = 5/2, x = −3
  7. Q7.

    Median of: 3, 7, 12, 5, 9, 1, 14

    1. (A) 7
    2. (B) 5
    3. (C) 9
    4. (D) 12
  8. Q8.

    ISRO cylindrical fuel tank: r=3.5 m, h=12 m. Volume? (π=22/7)

    1. (A) 154 m³
    2. (B) 308 m³
    3. (C) 616 m³
    4. (D) 462 m³
  9. Q9.

    If P(x) = 2x³ − 3x + 1, find P(1):

    1. (A) 1
    2. (B) 0
    3. (C) 2
    4. (D) 3
  10. Q10.

    Profit% formula:

    1. (A) (Profit/CP)×100
    2. (B) (Profit/SP)×100
    3. (C) (SP−MRP)/CP×100
    4. (D) (CP−SP)/CP×100
  11. Q11.

    Arjun buys cricket gear for ₹4,500, sells at ₹5,400. Profit%?

    1. (A) 15%
    2. (B) 18%
    3. (C) 20%
    4. (D) 25%
  12. Q12.

    Expand: (3x − 2y)²

    1. (A) 9x² − 4y²
    2. (B) 9x² + 4y²
    3. (C) 9x² + 12xy − 4y²
    4. (D) 9x² − 12xy + 4y²
  13. Q13.

    Total surface area of cube with side 5 cm:

    1. (A) 25 cm²
    2. (B) 150 cm²
    3. (C) 50 cm²
    4. (D) 125 cm²
  14. Q14.

    Mode of: 4, 7, 4, 3, 8, 4, 7, 9, 7, 4

    1. (A) 7
    2. (B) 4 and 7
    3. (C) 3
    4. (D) 4
  15. Q15.

    Factorise: 6x² + 11x + 3

    1. (A) (6x+1)(x+3)
    2. (B) (3x+3)(2x+1)
    3. (C) (2x+3)(3x+1)
    4. (D) (2x+1)(3x+3)
  16. Q16.

    Simple interest on ₹6,000 at 8% per annum for 3 years:

    1. (A) ₹1,440
    2. (B) ₹1,200
    3. (C) ₹1,320
    4. (D) ₹1,560
  17. Q17.

    Range of: 23, 45, 12, 67, 34, 78, 19

    1. (A) 56
    2. (B) 66
    3. (C) 60
    4. (D) 64
  18. Q18.

    x² − 5x + 6 = 0. Roots are:

    1. (A) 2, 3
    2. (B) −2, −3
    3. (C) 1, 6
    4. (D) −1, 6
  19. Q19.

    Volume of sphere: r = 21 cm (π=22/7):

    1. (A) 9702 cm³
    2. (B) 77,616 cm³
    3. (C) 1,386 cm³
    4. (D) 38,808 cm³
  20. Q20.

    Probability that a number chosen from 1–20 is prime? (Give the answer in simplest form.)

    1. (A) 2/5
    2. (B) 7/20
    3. (C) 3/5
    4. (D) 3/10

Answer key and solutions

  1. Q1CDifference of squares: x² − 3² = (x+3)(x−3)
  2. Q2BV = 6³ = 216 cm³
  3. Q3CA = 8000(1.1)² = 8000×1.21 = 9680; CI = 9680−8000 = ₹1680
  4. Q4B(a+b)² = a² + 2ab + b²
  5. Q5CCSA = 2πrh = 2 × 22/7 × 7 × 10 = 440 cm²
  6. Q6D2x−5=0 → x=5/2; x+3=0 → x=−3
  7. Q7ASorted: 1,3,5,7,9,12,14; median (4th term) = 7
  8. Q8DV = πr²h = 22/7 × 3.5² × 12 = 22/7 × 12.25 × 12 = 462 m³
  9. Q9BP(1) = 2(1)³ − 3(1) + 1 = 2 − 3 + 1 = 0
  10. Q10AProfit% = (Profit/Cost Price) × 100
  11. Q11CProfit = 900; 900/4500 × 100 = 20%
  12. Q12D(a−b)² = a²−2ab+b² → 9x²−12xy+4y²
  13. Q13BTSA = 6a² = 6 × 25 = 150 cm²
  14. Q14D4 appears 4 times; 7 appears 3 times. Mode = 4
  15. Q15C6x²+9x+2x+3 = 3x(2x+3)+1(2x+3) = (2x+3)(3x+1)
  16. Q16ASI = (6000×8×3)/100 = ₹1440
  17. Q17BRange = Max − Min = 78 − 12 = 66
  18. Q18A(x−2)(x−3) = 0 → x = 2 or x = 3
  19. Q19DV = 4/3πr³ = 4/3 × 22/7 × 9261 = 38,808 cm³
  20. Q20APrimes 1-20: 2,3,5,7,11,13,17,19 = 8 primes; P = 8/20 = 2/5

Maths practice papers, all classes

Frequently asked questions

Why is Class 8 algebra so important for later classes?

Class 8 algebraic identities — (a+b)², (a-b)², (a+b)(a-b) — are used directly in Class 9 and 10 polynomial factorisation, coordinate geometry and quadratic equations. A student who cannot apply these identities confidently will struggle significantly in the board-exam classes. This paper includes questions that test these identities in context.

How should a Class 8 student revise mensuration formulas effectively?

Rather than memorising formulas in isolation, derive them once — understanding why the formula works makes it far harder to forget. Then apply them in varied contexts like this paper's questions. The answer key here shows the working, not just the answer, which models the right approach to formula application.

Is Class 8 a good time to start preparing for Class 10 board exams?

Yes — the strongest Class 10 scorers typically build their foundation in Class 8. The topics in this paper (algebra, mensuration, data handling) all have direct counterparts in the Class 10 board syllabus. Starting rigorous practice in Class 8 means less pressure and better conceptual depth when board exams arrive.

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