Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 685 · 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.Use (a + b)² = a² + 2ab + b² to find 99².
2. 2.What is the value of 3⁻⁵ (as a fraction)? =
3. 3.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
4. 4.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
5. 5.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
6. 6.What is the smallest whole number by which 49 must be divided to get a perfect cube?
7. 7.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
8. 8.What is the value of 5⁴ × 5⁻³? =
9. 9.The length of a rectangle is 10 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
10. 10.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
11. 11.How many whole numbers lie between 42² and 43²?
12. 12.A square garden has an area of 1296 square m. How long is each side (in m)?
13. 13.Write 2,40,000 in standard form as 2.4 × 10ⁿ. What is n?
14. 14.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
15. 15.Which of these is a perfect square? (a) 256 (b) 266 (c) 272
16. 16.Use (a + b)(a − b) = a² − b² to find 41 × 39.
17. 17.Find the compound interest on ₹16000 at 15% per year for 3 years, compounded every year (in ₹).
18. 18.Use (a − b)² = a² − 2ab + b² to find 15².
19. 19.Find the compound interest on ₹14400 at 25% per year for 3 years, compounded every year (in ₹).
20. 20.What is the value of 4⁻⁴ (as a fraction)? =
21. 21.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
22. 22.What is 14³? =
23. 23.What is 11³? =
24. 24.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
25. 25.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
26. 26.A cuboid is 7 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
27. 27.What is 8³? =
28. 28.What is the value of 3⁻³ (as a fraction)? =
29. 29.What is 49²? =
30. 30.What is the value of 3¹ × 3⁻¹? =
31. 31.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
32. 32.Find the compound interest on ₹15000 at 12% per year for 2 years, compounded every year (in ₹).
33. 33.What is the difference between the compound interest and the simple interest on ₹17500 at 8% per year for 2 years (in ₹)?
34. 34.Which of these is a perfect square? (a) 340 (b) 333 (c) 324
35. 35.How many whole numbers lie between 45² and 46²?
36. 36.Write 4³ × 4⁴ as a single power 4ⁿ. What is n?
37. 37.Use (a − b)² = a² − 2ab + b² to find 22².
38. 38.Solve: t/2 + t/6 = 32. What is t?
39. 39.Solve: m/3 + m/2 = 5. What is m?
40. 40.Find the compound interest on ₹34000 at 5% per year for 2 years, compounded every year (in ₹).

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