Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 985 · 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 amount will ₹44400 grow to in 1 year at 4% per year compound interest (in ₹)?
2. 2.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
3. 3.Which of these is a perfect square? (a) 661 (b) 631 (c) 625
4. 4.What is the smallest whole number by which 32 must be divided to get a perfect cube?
5. 5.What is 6³? =
6. 6.What is the value of 5¹ × 5⁻⁶? =
7. 7.What is 18³? =
8. 8.Write 7 × 10⁻² as a decimal. =
9. 9.What is the value of 2¹ × 2⁻²? =
10. 10.Write 9.6 × 10⁻³ as a decimal. =
11. 11.What is the value of 2¹⁵? =
12. 12.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
13. 13.What is the value of 3² × 3⁻⁶? =
14. 14.Use (a − b)² = a² − 2ab + b² to find 45².
15. 15.Use (a + b)(a − b) = a² − b² to find 61 × 59.
16. 16.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
17. 17.Write 28,00,000 in standard form as 2.8 × 10ⁿ. What is n?
18. 18.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
19. 19.A scooter is worth ₹13200. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
20. 20.What is the value of 10³ × 10⁻⁴? =
21. 21.What is the smallest whole number by which 56 must be divided to get a perfect cube?
22. 22.The diagonals of a rhombus are 30 cm and 11 cm. What is its area (in square cm)?
23. 23.Solve: x/3 + x/5 = 40. What is x?
24. 24.Solve: 5(m − 3) = 2m + 24. What is m?
25. 25.The sum of three consecutive whole numbers is 18. What is the smallest of them?
26. 26.Solve: 3(t − 5) = 2t + 3. What is t?
27. 27.Find the compound interest on ₹42000 at 20% per year for 3 years, compounded every year (in ₹).
28. 28.What is the value of 4⁷? =
29. 29.What is ∛6859? =
30. 30.What is ∛2197? =
31. 31.What is 36²? =
32. 32.What is ∛12167? =
33. 33.Use a² − b² = (a + b)(a − b) to find 32² − 15².
34. 34.How many whole numbers lie between 46² and 47²?
35. 35.Write 1.3 × 10⁻⁴ as a decimal. =
36. 36.Find the compound interest on ₹47500 at 8% per year for 2 years, compounded every year (in ₹).
37. 37.A town has 53500 people. The population grows by 15% every year. What will the population be after 1 year?
38. 38.The length of a rectangle is 15 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
39. 39.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
40. 40.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?

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