Class 8 Maths Final Test Worksheet
The method (Read, plan, check): Find the type of question first: power, square or cube, equation, identity, area or interest? Use the method from that lesson, step by step. Check: square or cube your root back, put equation answers back in, and work interest year by year.
NameDateTime takenScore ___ / 40
- 1.Which of these is a perfect square? (a) 135 (b) 141 (c) 121
- 2.2 × 10⁴ =
- 3.What amount will ₹58000 grow to in 3 years at 10% per year compound interest (in ₹)?
- 4.Find the compound interest on ₹30000 at 20% per year for 2 years, compounded every year (in ₹).
- 5.What is the value of 2¹ × 2⁻⁵? =
- 6.A town has 37300 people. The population grows by 20% every year. What will the population be after 2 years?
- 7.A trapezium has parallel sides of 12 cm and 4 cm, and the distance between them is 6 cm. What is its area (in square cm)?
- 8.What is the value of 3⁻² (as a fraction)? =
- 9.Write 3.2 × 10⁻⁴ as a decimal. =
- 10.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
- 11.Write 9⁶ × 9³ as a single power 9ⁿ. What is n?
- 12.Use (a − b)² = a² − 2ab + b² to find 23².
- 13.A trapezium has an area of 198 square cm. Its parallel sides are 8 cm and 25 cm. What is the distance between them (in cm)?
- 14.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
- 15.How many whole numbers lie between 23² and 24²?
- 16.A scooter is worth ₹56900. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
- 17.A trapezium has parallel sides of 22 cm and 29 cm, and the distance between them is 2 cm. What is its area (in square cm)?
- 18.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
- 19.What is 77²? =
- 20.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
- 21.A cuboid is 10 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
- 22.If a − b = 3 and ab = 4, what is a² + b²?
- 23.What is ∛512? =
- 24.What is the value of 5³? =
- 25.A father is 39 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
- 26.The length of a rectangle is 11 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
- 27.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
- 28.What is the value of 2⁵? =
- 29.A father is 24 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
- 30.A cuboid is 4 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
- 31.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
- 32.What is 13²? =
- 33.What is ∛1728? =
- 34.Use a² − b² = (a + b)(a − b) to find 20² − 2².
- 35.Find the compound interest on ₹52000 at 5% per year for 1 year, compounded every year (in ₹).
- 36.The sum of two consecutive whole numbers is 47. What is the smallest of them?
- 37.Write 4¹³ ÷ 4⁷ as a single power 4ⁿ. What is n?
- 38.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
- 39.Find the compound interest on ₹47100 at 4% per year for 1 year, compounded every year (in ₹).
- 40.A scooter is worth ₹40600. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
Answer key
- 121
- 20000
- 77198
- 13200
- 1/16
- 53712
- 48
- 1/9
- 0.00032
- 21
- 9
- 529
- 12
- 46305
- 46
- 45520
- 51
- 4
- 5929
- 6
- 400
- 17
- 8
- 125
- 6
- 9
- 2646
- 32
- 4
- 276
- 15
- 169
- 12
- 396
- 2600
- 23
- 6
- 216
- 1884
- 30450
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