Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 393 · 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. 1.5.6 × 10⁵ =
2. 2.What is the value of 6⁴? =
3. 3.A room is 12 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
4. 4.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
5. 5.A cuboid is 11 cm long, 8 cm wide and 3 cm high. What is its total surface area (in square cm)?
6. 6.If a − b = 4 and ab = 45, what is a² + b²?
7. 7.Use a² − b² = (a + b)(a − b) to find 47² − 16².
8. 8.What is ∛1728? =
9. 9.Find the compound interest on ₹20000 at 8% per year for 1 year, compounded every year (in ₹).
10. 10.Write 9.5 × 10⁻³ as a decimal. =
11. 11.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
12. 12.Write 6¹⁰ ÷ 6⁴ as a single power 6ⁿ. What is n?
13. 13.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
14. 14.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
15. 15.Use (a + b)² = a² + 2ab + b² to find 18².
16. 16.What is the difference between the compound interest and the simple interest on ₹47500 at 4% per year for 2 years (in ₹)?
17. 17.Solve: n/6 + n/5 = 44. What is n?
18. 18.Solve: 5x + 3 = 3x + 31. What is x?
19. 19.Write (7⁹)² as a single power 7ⁿ. What is n?
20. 20.What is ∛4913? =
21. 21.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
22. 22.What is the value of (8/9)⁻¹? =
23. 23.What is the smallest whole number by which 117 must be divided to get a perfect square?
24. 24.Write 4.7 × 10⁻³ as a decimal. =
25. 25.Solve: n/3 + n/6 = 12. What is n?
26. 26.What is the value of 5⁶ × 5⁻²? =
27. 27.What amount will ₹43900 grow to in 2 years at 10% per year compound interest (in ₹)?
28. 28.Use (a + b)² = a² + 2ab + b² to find 33².
29. 29.Use (a − b)² = a² − 2ab + b² to find 23².
30. 30.What is 30²? =
31. 31.A town has 32000 people. The population grows by 15% every year. What will the population be after 3 years?
32. 32.A cuboid is 13 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
33. 33.Use (a + b)² = a² + 2ab + b² to find 87².
34. 34.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
35. 35.What is the value of 2¹⁵? =
36. 36.The sum of four consecutive whole numbers is 62. What is the smallest of them?
37. 37.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
38. 38.The sum of four consecutive whole numbers is 70. What is the largest of them?
39. 39.A cuboid is 11 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
40. 40.What is √5929? =

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