Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 158 · 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.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
2. 2.Use a² − b² = (a + b)(a − b) to find 88² − 31².
3. 3.A cuboid is 13 cm long, 7 cm wide and 7 cm high. What is its total surface area (in square cm)?
4. 4.Find the compound interest on ₹17100 at 12% per year for 1 year, compounded every year (in ₹).
5. 5.What is the value of 3⁻¹ (as a fraction)? =
6. 6.What is the value of 3⁷? =
7. 7.Write (7⁹)³ as a single power 7ⁿ. What is n?
8. 8.Which of these is a perfect cube? (a) 685 (b) 543 (c) 512
9. 9.The diagonals of a rhombus are 28 cm and 6 cm. What is its area (in square cm)?
10. 10.Write 9.9 × 10⁻¹ as a decimal. =
11. 11.What is the value of 6⁻³ (as a fraction)? =
12. 12.What is 11³? =
13. 13.Find the compound interest on ₹22500 at 4% per year for 2 years, compounded every year (in ₹).
14. 14.A square garden has an area of 1849 square m. How long is each side (in m)?
15. 15.Which of these is a perfect square? (a) 935 (b) 900 (c) 959
16. 16.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
17. 17.What is the smallest whole number by which 432 must be divided to get a perfect cube?
18. 18.If a + b = 6 and ab = 8, what is a² + b²?
19. 19.The sum of three consecutive whole numbers is 51. What is the smallest of them?
20. 20.A town has 51300 people. The population grows by 10% every year. What will the population be after 2 years?
21. 21.What is 84²? =
22. 22.How many whole numbers lie between 46² and 47²?
23. 23.What is the difference between the compound interest and the simple interest on ₹15000 at 4% per year for 2 years (in ₹)?
24. 24.Use (a + b)(a − b) = a² − b² to find 71 × 69.
25. 25.What is √1024? =
26. 26.Which of these is a perfect cube? (a) 33 (b) 35 (c) 27
27. 27.Write 4.1 × 10⁻² as a decimal. =
28. 28.What is the value of 10⁻³ (as a fraction)? =
29. 29.What is 15³? =
30. 30.A cuboid is 4 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
31. 31.What is 76²? =
32. 32.If a − b = 1 and ab = 6, what is a² + b²?
33. 33.What amount will ₹45000 grow to in 2 years at 12% per year compound interest (in ₹)?
34. 34.Solve: 3(x − 4) = 2x + 6. What is x?
35. 35.Solve: 6(n − 2) = 3n + 15. What is n?
36. 36.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
37. 37.Use (a − b)² = a² − 2ab + b² to find 25².
38. 38.How many whole numbers lie between 24² and 25²?
39. 39.What is ∛729? =
40. 40.Use (a + b)(a − b) = a² − b² to find 86 × 74.

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