Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 72 · 40 sums

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.

1. 1.A cuboid is 5 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
2. 2.Find the value of x² − y² when x = 11 and y = 10.
3. 3.Write 6.4 × 10⁻³ as a decimal. =
4. 4.What is √1444? =
5. 5.Use (a + b)(a − b) = a² − b² to find 24 × 16.
6. 6.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
7. 7.What is ∛3375? =
8. 8.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
9. 9.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
10. 10.What is 7³? =
11. 11.What is the value of 2⁷? =
12. 12.Use (a + b)² = a² + 2ab + b² to find 51².
13. 13.Use (a + b)² = a² + 2ab + b² to find 64².
14. 14.What is ∛4913? =
15. 15.The length of a rectangle is 6 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
16. 16.A square garden has an area of 1764 square m. How long is each side (in m)?
17. 17.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
18. 18.What is ∛216? =
19. 19.Use (a − b)² = a² − 2ab + b² to find 91².
20. 20.A room is 9 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
21. 21.Find the compound interest on ₹10600 at 15% per year for 1 year, compounded every year (in ₹).
22. 22.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
23. 23.What amount will ₹14200 grow to in 1 year at 15% per year compound interest (in ₹)?
24. 24.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
25. 25.Use (a + b)² = a² + 2ab + b² to find 105².
26. 26.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
27. 27.Find the compound interest on ₹18000 at 20% per year for 3 years, compounded every year (in ₹).
28. 28.Solve: 3n + 18 = 2n + 22. What is n?
29. 29.What is 78²? =
30. 30.Which of these is a perfect cube? (a) 927 (b) 935 (c) 729
31. 31.What is the value of 2²? =
32. 32.What is the value of 3⁻⁵ (as a fraction)? =
33. 33.What is 27²? =
34. 34.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
35. 35.A trapezium has parallel sides of 29 cm and 26 cm, and the distance between them is 20 cm. What is its area (in square cm)?
36. 36.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
37. 37.A scooter is worth ₹21000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
38. 38.What is the value of 8³? =
39. 39.What is the value of 10⁴ × 10⁻⁵? =
40. 40.What amount will ₹10500 grow to in 2 years at 10% per year compound interest (in ₹)?

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