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.Factorise $5x+10$ .[2]
2.What properties distinguish a parallelogram?[2]
3.Find $\sqrt{1764}$ .[2]
4.The reciprocal of a negative rational number is ___.[2]
5.What is a histogram?[2]
6.Write $0.0000123$ in standard form.[2]
7.Find the smallest number by which 392 must be multiplied so that the product is a perfect cube.[2]
8.Solve: $3(t-3)=5(2t+1)$ .[2]
9.Solve: $15(y-4)-2(y-9)+5(y+6)=0$ .[2]
10.Find five rational numbers between $-1$ and $0$ .[2]
11.Is 243 a perfect cube?[2]
12.The numbers ___ and ___ are their own reciprocals.[2]
🔑 Show Answer Key — Set 1
  1. 1. $5(x+2)$ .
  2. 2. Opposite sides are parallel and equal, opposite angles are equal, adjacent angles are supplementary, and diagonals bisect each other.
  3. 3. $42$ .
  4. 4. The reciprocal of a negative rational number is negative.
  5. 5. A histogram is a graph of grouped frequency distribution using adjoining rectangles, where each rectangle represents a class interval.
  6. 6. $1.23\times10^{-5}$ .
  7. 7. $7$ .
  8. 8. $t=-2$ .
  9. 9. $y=\dfrac23$ .
  10. 10. One set is $-\dfrac{5}{6},-\dfrac{4}{6},-\dfrac{3}{6},-\dfrac{2}{6},-\dfrac{1}{6}$ .
  11. 11. No. $243=3^5$ , and the exponent 5 is not a multiple of 3.
  12. 12. $1$ and $-1$ are their own reciprocals.
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.Find the least number by which 180 must be multiplied to make it a perfect square.[2]
2.Find the measure of each interior angle of a regular octagon.[2]
3.Solve and check: $4z+3=6+2z$ .[2]
4.Find the least number by which 180 must be divided to make it a perfect square.[2]
5.Use an identity to find $(102)^2$ .[2]
6.How do you recognise inverse proportion?[2]
7.What is data handling?[2]
8.Is 2352 a perfect square? Give a reason.[2]
9.The reciprocal of a positive rational number is ___.[2]
10.Find the volume of a cuboid of length 12 cm, breadth 8 cm and height 5 cm.[2]
11.Find the area of a polygon by splitting it into triangles and rectangles.[2]
12.How is a pie chart useful?[2]
🔑 Show Answer Key — Set 2
  1. 1. $5$ .
  2. 2. $135^\circ$ .
  3. 3. $z=\dfrac{3}{2}$ .
  4. 4. $5$ .
  5. 5. $10404$ .
  6. 6. Two quantities are in inverse proportion if an increase in one causes a proportional decrease in the other and their product remains constant.
  7. 7. Data handling means collecting data, organising it, representing it in tables or graphs, and interpreting it to answer questions.
  8. 8. No. A perfect square cannot end in 2.
  9. 9. The reciprocal of a positive rational number is positive.
  10. 10. $480\text{ cm}^3$ .
  11. 11. Split the polygon into known shapes, find each area separately, and add them.
  12. 12. A pie chart shows how a whole quantity is divided into parts. Each sector represents a part of the total.
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.If 6 workers complete a job in 10 days, how many days will 15 workers take?[2]
2.Find the curved surface area of a cylinder of radius 7 cm and height 10 cm.[2]
3.Simplify: $(3^2)^3$ .[2]
4.Find the compound interest on Rs 12000 for 2 years at 10 percent per annum.[2]
5.Multiply $2x$ by $3x+4$ .[2]
6.Find the area of a rhombus whose diagonals are 16 cm and 12 cm.[2]
7.Solve and check: $5x+9=5+3x$ .[2]
8.A car travels 240 km in 4 hours at a constant speed. How far will it travel in 7 hours?[2]
9.Find the measure of each exterior angle of a regular hexagon.[2]
10.Find $\sqrt[3]{512}$ .[2]
11.Plotting a point $(x,y)$ means what?[2]
12.Find the amount on Rs 12000 for 2 years at 10 percent per annum compound interest.[2]
🔑 Show Answer Key — Set 3
  1. 1. 4 days.
  2. 2. $440\text{ cm}^2$ using $\pi=\dfrac{22}{7}$ .
  3. 3. $3^6=729$ .
  4. 4. Rs 2520.
  5. 5. $6x^2+8x$ .
  6. 6. $96\text{ cm}^2$ .
  7. 7. $x=-2$ .
  8. 8. $420$ km.
  9. 9. $60^\circ$ .
  10. 10. $8$ .
  11. 11. Move $x$ units along the x-axis from the origin and then $y$ units parallel to the y-axis, using direction according to the signs of $x$ and $y$ .
  12. 12. Rs 14520.

📄 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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