Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 508 · 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.What is the smallest whole number by which 108 must be divided to get a perfect square?
2. 2.A scooter is worth ₹13000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
3. 3.Write 2,600 in standard form as 2.6 × 10ⁿ. What is n?
4. 4.How many whole numbers lie between 30² and 31²?
5. 5.Use a² − b² = (a + b)(a − b) to find 49² − 15².
6. 6.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
7. 7.Solve: y/6 + y/5 = 44. What is y?
8. 8.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
9. 9.The length of a rectangle is 7 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
10. 10.A trapezium has parallel sides of 14 cm and 26 cm, and the distance between them is 11 cm. What is its area (in square cm)?
11. 11.Use (a + b)(a − b) = a² − b² to find 59 × 41.
12. 12.Solve: 3(p − 4) = 2p + 5. What is p?
13. 13.Solve: 6(t − 4) = 3t + 6. What is t?
14. 14.What is 25²? =
15. 15.If a − b = 2 and ab = 80, what is a² + b²?
16. 16.Solve: n/5 + n/6 = 66. What is n?
17. 17.What is the value of 2⁵ × 2⁻²? =
18. 18.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
19. 19.Find the compound interest on ₹27200 at 25% per year for 3 years, compounded every year (in ₹).
20. 20.The sum of three consecutive whole numbers is 45. What is the smallest of them?
21. 21.2.3 × 10⁴ =
22. 22.Solve: 6(y − 1) = 5y + 12. What is y?
23. 23.Which of these is a perfect cube? (a) 3987 (b) 3612 (c) 3375
24. 24.How many whole numbers lie between 31² and 32²?
25. 25.A scooter is worth ₹5700. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
26. 26.A scooter is worth ₹59700. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
27. 27.What is the value of 4⁷? =
28. 28.Find the compound interest on ₹22500 at 12% per year for 2 years, compounded every year (in ₹).
29. 29.Solve: 5(m − 3) = m + 1. What is m?
30. 30.Find the compound interest on ₹8000 at 5% per year for 2 years, compounded every year (in ₹).
31. 31.What is 31²? =
32. 32.Write (6³)⁹ as a single power 6ⁿ. What is n?
33. 33.Use (a + b)(a − b) = a² − b² to find 24 × 16.
34. 34.The length of a rectangle is 8 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
35. 35.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
36. 36.What is the difference between the compound interest and the simple interest on ₹14800 at 15% per year for 2 years (in ₹)?
37. 37.The length of a rectangle is 8 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
38. 38.Which of these is a perfect square? (a) 132 (b) 142 (c) 121
39. 39.A cuboid is 4 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
40. 40.Use (a + b)(a − b) = a² − b² to find 99 × 81.

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