Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 348 · 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.If a − b = 1 and ab = 2, what is a² + b²?
2. 2.Which of these is a perfect square? (a) 367 (b) 361 (c) 398
3. 3.What amount will ₹27100 grow to in 1 year at 5% per year compound interest (in ₹)?
4. 4.Write (6⁵)⁹ as a single power 6ⁿ. What is n?
5. 5.Solve: m/6 + m/3 = 6. What is m?
6. 6.Use (a + b)(a − b) = a² − b² to find 56 × 44.
7. 7.Use (a − b)² = a² − 2ab + b² to find 44².
8. 8.What is √8464? =
9. 9.What amount will ₹30000 grow to in 2 years at 8% per year compound interest (in ₹)?
10. 10.Solve: 5n + 16 = n + 52. What is n?
11. 11.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
12. 12.What is the value of 6⁻² (as a fraction)? =
13. 13.Use a² − b² = (a + b)(a − b) to find 92² − 11².
14. 14.Use (a + b)² = a² + 2ab + b² to find 79².
15. 15.What is the value of (2/5)⁻²? =
16. 16.Which of these is a perfect square? (a) 268 (b) 256 (c) 279
17. 17.Use (a + b)(a − b) = a² − b² to find 21 × 19.
18. 18.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
19. 19.Write 3⁶ ÷ 3⁴ as a single power 3ⁿ. What is n?
20. 20.What is 8³? =
21. 21.9.5 × 10⁷ =
22. 22.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
23. 23.What is the value of 10³ × 10⁻²? =
24. 24.How many whole numbers lie between 42² and 43²?
25. 25.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
26. 26.A room is 6 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
27. 27.Solve: 5(t − 5) = t + 31. What is t?
28. 28.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
29. 29.What is the value of (7/8)⁻²? =
30. 30.What is the value of 2¹⁴? =
31. 31.Solve: 3(t − 3) = t + 9. What is t?
32. 32.Write 9.1 × 10⁻¹ as a decimal. =
33. 33.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
34. 34.What amount will ₹7600 grow to in 2 years at 5% per year compound interest (in ₹)?
35. 35.Use (a − b)² = a² − 2ab + b² to find 24².
36. 36.What is ∛64? =
37. 37.What is ∛4096? =
38. 38.Write 3³ × 3² as a single power 3ⁿ. What is n?
39. 39.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
40. 40.Solve: x/6 + x/3 = 18. What is x?

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