Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 163 · 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 57².
2. 2.A town has 7600 people. The population grows by 5% every year. What will the population be after 1 year?
3. 3.What is ∛2744? =
4. 4.Solve: t/6 + t/2 = 24. What is t?
5. 5.A cuboid is 7 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
6. 6.Find the compound interest on ₹15000 at 4% per year for 2 years, compounded every year (in ₹).
7. 7.What is the difference between the compound interest and the simple interest on ₹20000 at 8% per year for 2 years (in ₹)?
8. 8.What amount will ₹56000 grow to in 3 years at 5% per year compound interest (in ₹)?
9. 9.What is the smallest whole number by which 864 must be divided to get a perfect cube?
10. 10.A town has 2700 people. The population grows by 20% every year. What will the population be after 1 year?
11. 11.What is the value of (8/9)⁻¹? =
12. 12.How many whole numbers lie between 44² and 45²?
13. 13.What is the difference between the compound interest and the simple interest on ₹3600 at 15% per year for 2 years (in ₹)?
14. 14.What is ∛13824? =
15. 15.Solve: t/4 + t/3 = 35. What is t?
16. 16.What is the value of 2⁶? =
17. 17.A cuboid is 11 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
18. 18.What is the value of 4⁻³ (as a fraction)? =
19. 19.Use (a + b)(a − b) = a² − b² to find 38 × 22.
20. 20.What is ∛1728? =
21. 21.A cuboid is 4 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
22. 22.How many whole numbers lie between 14² and 15²?
23. 23.What amount will ₹27600 grow to in 2 years at 20% per year compound interest (in ₹)?
24. 24.Solve: n/4 + n/2 = 21. What is n?
25. 25.What is 84²? =
26. 26.Solve: 5(p − 1) = 3p + 21. What is p?
27. 27.A square garden has an area of 36 square m. How long is each side (in m)?
28. 28.How many whole numbers lie between 34² and 35²?
29. 29.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
30. 30.What is 13³? =
31. 31.Find the compound interest on ₹32400 at 15% per year for 2 years, compounded every year (in ₹).
32. 32.A trapezium has parallel sides of 13 cm and 21 cm, and the distance between them is 11 cm. What is its area (in square cm)?
33. 33.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
34. 34.A cuboid is 14 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
35. 35.Solve: 9n + 15 = 5n + 23. What is n?
36. 36.What is the value of 2⁻⁹ (as a fraction)? =
37. 37.Find the value of x² + 2xy + y² when x = 15 and y = 11.
38. 38.What is the difference between the compound interest and the simple interest on ₹17200 at 15% per year for 2 years (in ₹)?
39. 39.Find the value of x² − y² when x = 6 and y = 1.
40. 40.What amount will ₹54500 grow to in 1 year at 8% per year compound interest (in ₹)?

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