Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 922 · 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 room is 3 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
2. 2.A cuboid is 8 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
3. 3.Solve: 6t + 14 = 2t + 26. What is t?
4. 4.The length of a rectangle is 10 cm more than its width. Its perimeter is 128 cm. What is its width (in cm)?
5. 5.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
6. 6.The diagonals of a rhombus are 30 cm and 18 cm. What is its area (in square cm)?
7. 7.What is the value of 3⁶? =
8. 8.The diagonals of a rhombus are 30 cm and 19 cm. What is its area (in square cm)?
9. 9.Write 6¹⁴ ÷ 6⁸ as a single power 6ⁿ. What is n?
10. 10.How many whole numbers lie between 32² and 33²?
11. 11.The diagonals of a rhombus are 26 cm and 9 cm. What is its area (in square cm)?
12. 12.If a + b = 14 and ab = 48, what is a² + b²?
13. 13.A square garden has an area of 1764 square m. How long is each side (in m)?
14. 14.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
15. 15.The sum of three consecutive whole numbers is 84. What is the smallest of them?
16. 16.Use (a + b)(a − b) = a² − b² to find 61 × 59.
17. 17.Use (a + b)(a − b) = a² − b² to find 87 × 73.
18. 18.What is 88²? =
19. 19.What is ∛5832? =
20. 20.A square garden has an area of 784 square m. How long is each side (in m)?
21. 21.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
22. 22.What is the smallest whole number by which 160 must be divided to get a perfect square?
23. 23.Use (a + b)² = a² + 2ab + b² to find 29².
24. 24.What is the value of 3¹ × 3⁻¹? =
25. 25.What is 14³? =
26. 26.Solve: 5m + 3 = 3m + 11. What is m?
27. 27.Write 6¹⁵ ÷ 6⁷ as a single power 6ⁿ. What is n?
28. 28.What is the value of 9²? =
29. 29.Use (a − b)² = a² − 2ab + b² to find 55².
30. 30.What is the value of 9³? =
31. 31.Use a² − b² = (a + b)(a − b) to find 90² − 49².
32. 32.Use a² − b² = (a + b)(a − b) to find 42² − 18².
33. 33.What is the smallest whole number by which 72 must be divided to get a perfect cube?
34. 34.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
35. 35.Write 4 × 10⁻⁴ as a decimal. =
36. 36.What is the difference between the compound interest and the simple interest on ₹52500 at 8% per year for 2 years (in ₹)?
37. 37.A scooter is worth ₹9700. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
38. 38.What is the difference between the compound interest and the simple interest on ₹14800 at 15% per year for 2 years (in ₹)?
39. 39.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
40. 40.What amount will ₹8900 grow to in 1 year at 5% per year compound interest (in ₹)?

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