Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 115 · 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 6⁹ × 6⁶ as a single power 6ⁿ. What is n?
2. 2.Write 7⁴ × 7⁷ as a single power 7ⁿ. What is n?
3. 3.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
4. 4.Use (a + b)² = a² + 2ab + b² to find 23².
5. 5.What is 4³? =
6. 6.Use (a + b)(a − b) = a² − b² to find 77 × 63.
7. 7.If a + b = 4 and ab = 3, what is a² + b²?
8. 8.What is the smallest whole number by which 405 must be divided to get a perfect square?
9. 9.Use (a + b)(a − b) = a² − b² to find 45 × 35.
10. 10.Which of these is a perfect square? (a) 1082 (b) 1024 (c) 1038
11. 11.If a + b = 15 and ab = 56, what is a² + b²?
12. 12.The diagonals of a rhombus are 8 cm and 21 cm. What is its area (in square cm)?
13. 13.Write 2.2 × 10⁻¹ as a decimal. =
14. 14.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
15. 15.A father is 12 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
16. 16.Use (a + b)(a − b) = a² − b² to find 86 × 74.
17. 17.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
18. 18.What is the value of 10⁵? =
19. 19.What is the smallest whole number by which 32 must be multiplied to get a perfect square?
20. 20.What is 48²? =
21. 21.Find the compound interest on ₹30400 at 25% per year for 3 years, compounded every year (in ₹).
22. 22.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
23. 23.What is the value of 3⁵ × 3⁻³? =
24. 24.Find the compound interest on ₹30900 at 15% per year for 1 year, compounded every year (in ₹).
25. 25.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
26. 26.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
27. 27.Use a² − b² = (a + b)(a − b) to find 60² − 10².
28. 28.Use (a + b)(a − b) = a² − b² to find 32 × 28.
29. 29.The sum of three consecutive whole numbers is 156. What is the smallest of them?
30. 30.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
31. 31.If a + b = 7 and ab = 6, what is a² + b²?
32. 32.The length of a rectangle is 4 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
33. 33.Which of these is a perfect square? (a) 488 (b) 493 (c) 484
34. 34.Write 2 × 10⁻⁴ as a decimal. =
35. 35.What is the difference between the compound interest and the simple interest on ₹15000 at 8% per year for 2 years (in ₹)?
36. 36.Use a² − b² = (a + b)(a − b) to find 60² − 45².
37. 37.A scooter is worth ₹1600. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
38. 38.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
39. 39.Use (a − b)² = a² − 2ab + b² to find 13².
40. 40.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?

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