Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 203 · 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.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
2. 2.A trapezium has parallel sides of 10 cm and 30 cm, and the distance between them is 8 cm. What is its area (in square cm)?
3. 3.How many whole numbers lie between 42² and 43²?
4. 4.A cuboid is 6 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
5. 5.What is ∛8000? =
6. 6.Which of these is a perfect square? (a) 1231 (b) 1225 (c) 1240
7. 7.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
8. 8.What is the value of 5⁴ × 5⁻³? =
9. 9.Write 6⁵ × 6² as a single power 6ⁿ. What is n?
10. 10.Write 6,70,000 in standard form as 6.7 × 10ⁿ. What is n?
11. 11.What is the value of 2¹²? =
12. 12.Write 4⁴ × 4⁶ as a single power 4ⁿ. What is n?
13. 13.Find the compound interest on ₹18700 at 10% per year for 2 years, compounded every year (in ₹).
14. 14.What is 14³? =
15. 15.What is the value of 2⁹? =
16. 16.Which of these is a perfect cube? (a) 2269 (b) 2197 (c) 2582
17. 17.A town has 8000 people. The population grows by 15% every year. What will the population be after 3 years?
18. 18.The sum of four consecutive whole numbers is 94. What is the smallest of them?
19. 19.Use (a + b)² = a² + 2ab + b² to find 53².
20. 20.Find the compound interest on ₹58200 at 20% per year for 1 year, compounded every year (in ₹).
21. 21.What is ∛8? =
22. 22.A square garden has an area of 81 square m. How long is each side (in m)?
23. 23.Solve: 3(y − 4) = y + 26. What is y?
24. 24.A cuboid is 11 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
25. 25.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
26. 26.If a + b = 4 and ab = 3, what is a² + b²?
27. 27.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
28. 28.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
29. 29.Use (a + b)² = a² + 2ab + b² to find 105².
30. 30.Solve: 4(m − 2) = 3m + 5. What is m?
31. 31.A room is 11 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
32. 32.Use (a − b)² = a² − 2ab + b² to find 31².
33. 33.Which of these is a perfect square? (a) 1043 (b) 1024 (c) 1054
34. 34.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
35. 35.Find the compound interest on ₹44500 at 20% per year for 1 year, compounded every year (in ₹).
36. 36.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
37. 37.What is 56²? =
38. 38.Write 6⁴ × 6² as a single power 6ⁿ. What is n?
39. 39.What amount will ₹18000 grow to in 2 years at 5% per year compound interest (in ₹)?
40. 40.Solve: x/2 + x/3 = 30. What is x?

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