Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 68 · 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.Write 3⁹ × 3³ as a single power 3ⁿ. What is n?
2. 2.Use (a − b)² = a² − 2ab + b² to find 41².
3. 3.Use (a + b)(a − b) = a² − b² to find 52 × 48.
4. 4.Use (a + b)² = a² + 2ab + b² to find 27².
5. 5.Find the compound interest on ₹3200 at 15% per year for 2 years, compounded every year (in ₹).
6. 6.Find the compound interest on ₹47200 at 15% per year for 2 years, compounded every year (in ₹).
7. 7.What is 11³? =
8. 8.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
9. 9.Write 2.5 × 10⁻¹ as a decimal. =
10. 10.Use (a − b)² = a² − 2ab + b² to find 88².
11. 11.A room is 10 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.What is 66²? =
13. 13.A trapezium has parallel sides of 5 cm and 24 cm, and the distance between them is 2 cm. What is its area (in square cm)?
14. 14.Find the value of x² + 2xy + y² when x = 4 and y = 1.
15. 15.Solve: 4(y − 5) = 2y + 10. What is y?
16. 16.How many whole numbers lie between 39² and 40²?
17. 17.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
18. 18.Use a² − b² = (a + b)(a − b) to find 37² − 31².
19. 19.What is √961? =
20. 20.Find the compound interest on ₹32500 at 8% per year for 2 years, compounded every year (in ₹).
21. 21.The sum of two consecutive whole numbers is 91. What is the smallest of them?
22. 22.Use a² − b² = (a + b)(a − b) to find 42² − 32².
23. 23.What is 61²? =
24. 24.9.5 × 10⁷ =
25. 25.Solve: 4(t − 4) = 2t + 12. What is t?
26. 26.What is the difference between the compound interest and the simple interest on ₹15000 at 4% per year for 2 years (in ₹)?
27. 27.What is the smallest whole number by which 108 must be multiplied to get a perfect square?
28. 28.Use a² − b² = (a + b)(a − b) to find 56² − 38².
29. 29.Find the compound interest on ₹54500 at 10% per year for 1 year, compounded every year (in ₹).
30. 30.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
31. 31.What is the value of 3³? =
32. 32.How many whole numbers lie between 31² and 32²?
33. 33.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
34. 34.Write (3²)⁴ as a single power 3ⁿ. What is n?
35. 35.Solve: 8x + 4 = 4x + 28. What is x?
36. 36.What is 3³? =
37. 37.Solve: n/6 + n/2 = 4. What is n?
38. 38.Solve: y/5 + y/6 = 33. What is y?
39. 39.Which of these is a perfect square? (a) 147 (b) 144 (c) 163
40. 40.The sum of two consecutive whole numbers is 101. What is the largest of them?

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