Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 66 · 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 2¹⁵ ÷ 2⁷ as a single power 2ⁿ. What is n?
2. 2.What amount will ₹56000 grow to in 3 years at 5% per year compound interest (in ₹)?
3. 3.If a + b = 9 and ab = 8, what is a² + b²?
4. 4.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
5. 5.What is the value of 9⁵? =
6. 6.The sum of four consecutive whole numbers is 34. What is the smallest of them?
7. 7.How many whole numbers lie between 37² and 38²?
8. 8.Write (2⁵)³ as a single power 2ⁿ. What is n?
9. 9.What amount will ₹25000 grow to in 2 years at 8% per year compound interest (in ₹)?
10. 10.What is 96²? =
11. 11.A square garden has an area of 2304 square m. How long is each side (in m)?
12. 12.Find the value of x² − y² when x = 6 and y = 5.
13. 13.A square garden has an area of 3600 square m. How long is each side (in m)?
14. 14.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
15. 15.A trapezium has parallel sides of 14 cm and 15 cm, and the distance between them is 4 cm. What is its area (in square cm)?
16. 16.A square garden has an area of 1521 square m. How long is each side (in m)?
17. 17.Solve: 5(t − 1) = 2t + 34. What is t?
18. 18.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
19. 19.Write 1.2 × 10⁻² as a decimal. =
20. 20.What is ∛2197? =
21. 21.7.5 × 10⁵ =
22. 22.Solve: 4(y − 2) = y + 7. What is y?
23. 23.What is the value of 2³ × 2⁻⁵? =
24. 24.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
25. 25.The diagonals of a rhombus are 10 cm and 8 cm. What is its area (in square cm)?
26. 26.Find the compound interest on ₹17500 at 8% per year for 1 year, compounded every year (in ₹).
27. 27.Use (a − b)² = a² − 2ab + b² to find 27².
28. 28.What is the difference between the compound interest and the simple interest on ₹4000 at 25% per year for 2 years (in ₹)?
29. 29.Use a² − b² = (a + b)(a − b) to find 20² − 16².
30. 30.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
31. 31.What is the difference between the compound interest and the simple interest on ₹25000 at 10% per year for 2 years (in ₹)?
32. 32.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
33. 33.What is the value of 5⁻⁴ (as a fraction)? =
34. 34.Find the value of x² − 2xy + y² when x = 3 and y = 1.
35. 35.Use (a − b)² = a² − 2ab + b² to find 59².
36. 36.What is the smallest whole number by which 396 must be divided to get a perfect square?
37. 37.Use (a − b)² = a² − 2ab + b² to find 57².
38. 38.Use a² − b² = (a + b)(a − b) to find 86² − 75².
39. 39.Which of these is a perfect cube? (a) 1810 (b) 1728 (c) 1784
40. 40.Find the compound interest on ₹25600 at 25% per year for 3 years, compounded every year (in ₹).

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