Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 679 · 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.Use (a + b)² = a² + 2ab + b² to find 61².
2. 2.What is the value of 4²? =
3. 3.A cuboid is 15 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
4. 4.What is the value of 5⁷? =
5. 5.A square garden has an area of 1089 square m. How long is each side (in m)?
6. 6.What is the value of 10² × 10⁻⁶? =
7. 7.What is the value of 5⁵? =
8. 8.Find the value of x² − y² when x = 5 and y = 3.
9. 9.What is the value of 5³ × 5⁻³? =
10. 10.If a − b = 1 and ab = 20, what is a² + b²?
11. 11.A cuboid is 8 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
12. 12.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
13. 13.Write 5.9 × 10⁻⁴ as a decimal. =
14. 14.Write 6.4 × 10⁻⁴ as a decimal. =
15. 15.What is the value of 2²? =
16. 16.2.9 × 10² =
17. 17.What is 2³? =
18. 18.What is the value of 5⁵ × 5⁻²? =
19. 19.The sum of two consecutive whole numbers is 29. What is the largest of them?
20. 20.What amount will ₹40800 grow to in 1 year at 4% per year compound interest (in ₹)?
21. 21.Use (a + b)(a − b) = a² − b² to find 101 × 99.
22. 22.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
23. 23.What is 7³? =
24. 24.What is the value of 10⁶ × 10⁻⁴? =
25. 25.What is the value of 4⁷? =
26. 26.Solve: y/6 + y/3 = 21. What is y?
27. 27.What is √900? =
28. 28.Find the compound interest on ₹45000 at 4% per year for 2 years, compounded every year (in ₹).
29. 29.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
30. 30.What is 15³? =
31. 31.Solve: 3(n − 1) = 2n + 4. What is n?
32. 32.How many whole numbers lie between 17² and 18²?
33. 33.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
34. 34.Solve: 8y + 1 = 5y + 28. What is y?
35. 35.A trapezium has an area of 74 square cm. Its parallel sides are 12 cm and 25 cm. What is the distance between them (in cm)?
36. 36.A trapezium has parallel sides of 17 cm and 9 cm, and the distance between them is 9 cm. What is its area (in square cm)?
37. 37.The length of a rectangle is 9 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
38. 38.Find the compound interest on ₹21200 at 15% per year for 1 year, compounded every year (in ₹).
39. 39.Use (a + b)² = a² + 2ab + b² to find 42².
40. 40.What amount will ₹43200 grow to in 2 years at 15% per year compound interest (in ₹)?

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