Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 435 · 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.What amount will ₹17500 grow to in 2 years at 12% per year compound interest (in ₹)?
2. 2.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
3. 3.Solve: 4(p − 2) = 3p + 13. What is p?
4. 4.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
5. 5.What is 9³? =
6. 6.A town has 51200 people. The population grows by 20% every year. What will the population be after 2 years?
7. 7.Find the value of x² − y² when x = 9 and y = 3.
8. 8.What is ∛216? =
9. 9.Use (a − b)² = a² − 2ab + b² to find 49².
10. 10.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
11. 11.Which of these is a perfect square? (a) 1079 (b) 1066 (c) 1024
12. 12.Solve: 6(n − 4) = n + 61. What is n?
13. 13.A town has 49500 people. The population grows by 10% every year. What will the population be after 2 years?
14. 14.Find the compound interest on ₹32100 at 20% per year for 2 years, compounded every year (in ₹).
15. 15.What is the difference between the compound interest and the simple interest on ₹2000 at 5% per year for 2 years (in ₹)?
16. 16.What is ∛4096? =
17. 17.A room is 8 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
18. 18.5 × 10² =
19. 19.What amount will ₹9600 grow to in 1 year at 5% per year compound interest (in ₹)?
20. 20.Which of these is a perfect square? (a) 1184 (b) 1156 (c) 1209
21. 21.Use (a + b)² = a² + 2ab + b² to find 61².
22. 22.What is 18³? =
23. 23.If a − b = 6 and ab = 72, what is a² + b²?
24. 24.Use (a − b)² = a² − 2ab + b² to find 68².
25. 25.Find the value of x² + 2xy + y² when x = 11 and y = 6.
26. 26.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
27. 27.Write 8.5 × 10⁻⁴ as a decimal. =
28. 28.Use (a + b)(a − b) = a² − b² to find 43 × 37.
29. 29.Use (a + b)(a − b) = a² − b² to find 85 × 75.
30. 30.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
31. 31.Find the compound interest on ₹32500 at 4% per year for 2 years, compounded every year (in ₹).
32. 32.A cuboid is 10 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
33. 33.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
34. 34.A room is 9 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
35. 35.7.8 × 10⁷ =
36. 36.What is the value of 10⁵ × 10⁻¹? =
37. 37.A cuboid is 12 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
38. 38.Write (2⁷)⁸ as a single power 2ⁿ. What is n?
39. 39.What is 4³? =
40. 40.Write 9.2 × 10⁻³ as a decimal. =

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