Practice Question Papers · with Answers

CBSE / NCERT Class 8 Maths Practice Question Papers

Download free CBSE / NCERT Class 8 Maths practice question papers with full answer keys. These are original Brain Grain model papers — built from our verified question bank to the real exam blueprint (sections, marks and solutions) — perfect for board revision and model tests.

Brain Grain · braingrain.in
Maths — Practice Paper · Set 1
Class: 8CBSE / NCERTMax Marks: 24
Name: ____________________Reg No: ____________
Part I — Short Answer Questions 12 × 2 = 24

Answer briefly. (Answer all questions.)

1.What is the formula for compound amount when interest is compounded annually?[2]
2.Simplify: $5^7\div5^3$[2]
3.Is 2352 a perfect square? Give a reason.[2]
4.Solve: $15(y-4)-2(y-9)+5(y+6)=0$[2]
5.Find five rational numbers between $-1$[2]
6.How do you recognise direct proportion?[2]
7.Find the area of a rhombus whose diagonals are 16 cm and 12 cm.[2]
8.Why are bars in a histogram drawn without gaps?[2]
9.Find $\sqrt[3]{512}$[2]
10.Simplify: $(3^2)^3$[2]
11.Find the compound interest on Rs 12000 for 2 years at 10 percent per annum.[2]
12.Divide $x^2+5x+6$[2]
🔑 Show Answer Key — Set 1
  1. 1. $A=P\left(1+\dfrac{R}{100}\right)^n$ .
  2. 2. $5^4=625$ .
  3. 3. No. A perfect square cannot end in 2.
  4. 4. $y=\dfrac23$ .
  5. 5. One set is $-\dfrac{5}{6},-\dfrac{4}{6},-\dfrac{3}{6},-\dfrac{2}{6},-\dfrac{1}{6}$ .
  6. 6. Two quantities are in direct proportion if one increases or decreases in the same ratio as the other and the ratio of the two remains constant.
  7. 7. $96\text{ cm}^2$ .
  8. 8. The class intervals are continuous, so the rectangles touch each other to show continuity.
  9. 9. $8$ .
  10. 10. $3^6=729$ .
  11. 11. Rs 2520.
  12. 12. $x+3$ .
Brain Grain · braingrain.in
Maths — Practice Paper · Set 2
Class: 8CBSE / NCERTMax Marks: 24
Name: ____________________Reg No: ____________
Part I — Short Answer Questions 12 × 2 = 24

Answer briefly. (Answer all questions.)

1.A table bought for Rs 2500 is sold for Rs 2800. Find the profit percent.[2]
2.Name the property under multiplication used in: (i) $-\dfrac{4}{5}\times1=1\times-\dfrac{4}{5}=-\dfrac{4}{5}$[2]
3.What type of graph is used to show data changing continuously over time?[2]
4.In which quadrant does the point $(-3,4)$[2]
5.Multiply $(x+3)(x+5)$[2]
6.Factorise $a^2-b^2$[2]
7.State the special properties of a rectangle.[2]
8.Evaluate $10^{-3}$[2]
9.A coin is tossed once. What is the probability of getting a head?[2]
10.The reciprocal of a negative rational number is ___.[2]
11.Solve and check: $5t-3=3t-5$[2]
12.Solve and check: $8x+4=3(x-1)+7$[2]
🔑 Show Answer Key — Set 2
  1. 1. $12\%$ .
  2. 2. (i) Multiplicative identity. (ii) Commutative property of multiplication. (iii) Multiplicative identity.
  3. 3. A line graph.
  4. 4. Second quadrant.
  5. 5. $x^2+8x+15$ .
  6. 6. $(a-b)(a+b)$ .
  7. 7. A rectangle is a parallelogram with four right angles. Its opposite sides are equal and parallel, and its diagonals are equal and bisect each other.
  8. 8. $\dfrac{1}{1000}$ .
  9. 9. $\dfrac12$ .
  10. 10. The reciprocal of a negative rational number is negative.
  11. 11. $t=-1$ .
  12. 12. $x=0$ .
Brain Grain · braingrain.in
Maths — Practice Paper · Set 3
Class: 8CBSE / NCERTMax Marks: 24
Name: ____________________Reg No: ____________
Part I — Short Answer Questions 12 × 2 = 24

Answer briefly. (Answer all questions.)

1.Write $0.0000123$[2]
2.Multiply $2x$[2]
3.State the special properties of a rhombus.[2]
4.What is the purpose of a graph?[2]
5.The reciprocal of a positive rational number is ___.[2]
6.Find 20 percent of 250.[2]
7.Solve and check: $x=\dfrac45(x+10)$[2]
8.Subtract $5a^2-4b^2+3ab$[2]
9.What properties distinguish a parallelogram?[2]
10.Factorise $5x+10$[2]
11.State the special properties of a square.[2]
12.Is 243 a perfect cube?[2]
🔑 Show Answer Key — Set 3
  1. 1. $1.23\times10^{-5}$ .
  2. 2. $6x^2+8x$ .
  3. 3. A rhombus is a parallelogram with all sides equal. Its diagonals bisect each other at right angles and bisect the vertex angles.
  4. 4. A graph represents numerical facts visually so that trends and comparisons can be understood quickly.
  5. 5. The reciprocal of a positive rational number is positive.
  6. 6. $50$ .
  7. 7. $x=40$ .
  8. 8. $3a^2+6b^2-9ab$ .
  9. 9. Opposite sides are parallel and equal, opposite angles are equal, adjacent angles are supplementary, and diagonals bisect each other.
  10. 10. $5(x+2)$ .
  11. 11. A square has all sides equal and all angles $90^\circ$ . Its diagonals are equal, perpendicular bisectors of each other, and bisect the angles.
  12. 12. No. $243=3^5$ , and the exponent 5 is not a multiple of 3.

📄 About official papers

Class 8 does not have a public board examination, so there are no official board question papers for this class. The papers above are Brain Grain practice papers built to the standard exam pattern — ideal for unit tests, monthly tests and revision.

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