Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 71 · 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 value of 5⁷? =
2. 2.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
3. 3.What is the difference between the compound interest and the simple interest on ₹50300 at 20% per year for 2 years (in ₹)?
4. 4.A scooter is worth ₹17500. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
5. 5.What is the value of 4⁵? =
6. 6.A scooter is worth ₹52500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
7. 7.What amount will ₹56400 grow to in 2 years at 10% per year compound interest (in ₹)?
8. 8.The diagonals of a rhombus are 24 cm and 23 cm. What is its area (in square cm)?
9. 9.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
10. 10.What is the difference between the compound interest and the simple interest on ₹17600 at 15% per year for 2 years (in ₹)?
11. 11.What is 9³? =
12. 12.A room is 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
13. 13.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
14. 14.What is the value of 9²? =
15. 15.Which of these is a perfect square? (a) 121 (b) 143 (c) 141
16. 16.Use (a + b)(a − b) = a² − b² to find 99 × 81.
17. 17.A scooter is worth ₹54800. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
18. 18.A trapezium has parallel sides of 5 cm and 20 cm, and the distance between them is 14 cm. What is its area (in square cm)?
19. 19.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
20. 20.Solve: 4(y − 3) = 2y + 20. What is y?
21. 21.Write (4⁷)⁷ as a single power 4ⁿ. What is n?
22. 22.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
23. 23.Use (a − b)² = a² − 2ab + b² to find 56².
24. 24.What is the difference between the compound interest and the simple interest on ₹13900 at 20% per year for 2 years (in ₹)?
25. 25.How many whole numbers lie between 22² and 23²?
26. 26.The length of a rectangle is 6 cm more than its width. Its perimeter is 20 cm. What is its width (in cm)?
27. 27.Use (a − b)² = a² − 2ab + b² to find 96².
28. 28.4.8 × 10⁶ =
29. 29.Solve: y/2 + y/3 = 40. What is y?
30. 30.What is the smallest whole number by which 567 must be divided to get a perfect square?
31. 31.Write 3⁸ × 3⁷ as a single power 3ⁿ. What is n?
32. 32.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
33. 33.If a − b = 2 and ab = 24, what is a² + b²?
34. 34.Write 9¹⁴ ÷ 9⁸ as a single power 9ⁿ. What is n?
35. 35.A trapezium has an area of 340 square cm. Its parallel sides are 21 cm and 19 cm. What is the distance between them (in cm)?
36. 36.Which of these is a perfect square? (a) 1089 (b) 1115 (c) 1144
37. 37.What is 15²? =
38. 38.What is 11³? =
39. 39.Solve: x/3 + x/5 = 8. What is x?
40. 40.A trapezium has parallel sides of 5 cm and 16 cm, and the distance between them is 4 cm. What is its area (in square cm)?

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