Class 8 practice
Class 8 maths questions.
Maths questions for Class 8, at the level of students aged 12–14, each with its answer and a short explanation. Try each one before opening the answer.
Rohan bought 5 notebooks for 120 rupees. How much will he pay for 8 such notebooks at the same rate?
Level 3 of 5Show the answer
Answer: 192 rupees
One notebook costs 120 / 5 = 24 rupees. So, 8 notebooks cost 8 * 24 = 192 rupees.
A circular park of radius 14 metres has a path of width 7 metres running around its outside. What is the area of the path? Take π as 22/7.
Level 3 of 5Show the answer
Answer: 770 sq m
The outer radius is 14 + 7 = 21 m. Path area equals π × (21² − 14²) = (22/7) × (441 − 196) = (22/7) × 245 = 770 sq m.
Aarav bought 3 notebooks and 2 pens for ₹130. If each pen costs ₹20, what is the cost of one notebook?
Level 3 of 5Show the answer
Answer: ₹30
Two pens cost 2 × ₹20 = ₹40. Subtracting this from ₹130 leaves ₹90 for 3 notebooks. Therefore, one notebook costs 90 ÷ 3 = ₹30.
In a school library, the ratio of science books to literature books is 4:7. If there are 308 literature books, what is the total number of both books combined?
Level 3 of 5Show the answer
Answer: 484
One unit of ratio equals 308 ÷ 7 = 44 books. The total number of ratio units is 4 + 7 = 11. Therefore, total books = 11 × 44 = 484.
A rectangular school garden is 24 metres long and 10 metres wide. What is the straight-line distance between two diagonally opposite corners of this garden?
Level 3 of 5Show the answer
Answer: 26 metres
Using Pythagoras' theorem, the diagonal squared equals 24 squared plus 10 squared, which is 676. The square root of 676 gives 26 metres.
A cloth bag contains 5 red beads, 3 green beads, and 4 blue beads. If Ananya picks one bead without looking, what is the probability that she draws a green bead?
Level 3 of 5Show the answer
Answer: 1/4
The total number of beads is 5 + 3 + 4 = 12. The probability of choosing a green bead is 3/12, which simplifies to 1/4.
Kavi deposits ₹2,000 in a bank account at a simple interest rate of 5% per year. How much interest will he earn in 3 years?
Level 3 of 5Show the answer
Answer: ₹300
Simple Interest = (Principal × Rate × Time) / 100. Substituting gives (2000 × 5 × 3) / 100 = ₹300.
Rohit borrows Rs 12,000 at a simple interest rate of 8% per annum. How much total amount must he pay back after 3 years?
Level 3 of 5Show the answer
Answer: Rs 14,880
Simple Interest = (P × R × T) / 100 = (12000 × 8 × 3) / 100 = Rs 2,880. Total amount = Principal + Interest = 12000 + 2880 = Rs 14,880.
A rectangular park is 45 metres long and 30 metres wide. A path 2 metres wide is built all around the outside of the park. What is the area of the path?
Level 3 of 5Show the answer
Answer: 316 m²
Inner area = 45 × 30 = 1,350 m². Outer dimensions are 49 m by 34 m. Outer area = 49 × 34 = 1,666 m². Path area = 1,666 - 1,350 = 316 m².
In a school survey in Kochi, the ratio of boys to girls is 5 : 7. If there are 84 more girls than boys, how many students participated in the survey?
Level 3 of 5Show the answer
Answer: 504
Let common ratio be x. Then 7x - 5x = 84, so 2x = 84, giving x = 42. Total students = 5x + 7x = 12x = 12 × 42 = 504.
What is the sum of the interior angles of a polygon with 6 sides?
Level 3 of 5Show the answer
Answer: 720°
The sum of interior angles is given by (n − 2) × 180°. For 6 sides, (6 − 2) × 180° = 4 × 180° = 720°.
In triangle PQR, the measure of angle P is 55° and angle Q is 65°. What is the measure of angle R?
Level 3 of 5Show the answer
Answer: 60°
The sum of angles in a triangle is 180°. Angle R = 180° - (55° + 65°) = 180° - 120° = 60°.
- True or false?
Selling an article at a profit of twenty percent means the selling price is one point two times the cost price.
Level 3 of 5Show the answer
Answer: True
A profit of twenty percent adds 0.2 of the cost price to itself, making the final selling price 1.2 times the cost.
- True or false?
If the radius of a circular field is doubled, its perimeter also doubles.
Level 3 of 5Show the answer
Answer: True
Perimeter is directly proportional to radius via the formula 2 times pi times r. Doubling the radius doubles the perimeter.
- True or false?
Doubling the radius of a circle doubles both its circumference and its area.
Level 3 of 5Show the answer
Answer: False
Doubling the radius doubles the circumference, but the area depends on the square of the radius, so it quadruples.
- Fill in the blank.
If two supplementary angles have a ratio of 2:3, the measure of the smaller angle is ___ degrees.
Level 3 of 5Show the answer
Answer: 72
Supplementary angles sum to 180 degrees. Dividing 180 by 5 parts gives 36, so the smaller angle is 2 × 36 = 72 degrees.
- Fill in the blank.
When Ananya multiplies a number by 4 and adds 9, the result is 45, meaning her original number is ___.
Level 3 of 5Show the answer
Answer: 9
Subtract 9 from 45 to get 36, then divide 36 by 4 to find the original number, which is 9.
- Fill in the blank.
If three times a number minus 7 equals 20, then the number is ___.
Level 3 of 5Show the answer
Answer: 9
Adding 7 to 20 gives 27. Dividing 27 by 3 reveals that the original number is 9.
Which point on a Cartesian plane is the odd one out?
Level 3 of 5Show the answer
Answer: (6, -2)
(-3, 5), (-4, 2), and (-1, 8) lie in Quadrant II, where x is negative and y is positive. (6, -2) lies in Quadrant IV.
Which of the following algebraic terms is the odd one out?
Level 3 of 5Show the answer
Answer: 5xy²
3x²y, -7yx², and 12x²y are like terms because they share the identical variable factors x² and y. In 5xy², the powers of x and y are reversed.
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