Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 62 · 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 is the value of 2⁵ × 2⁻⁶? =
2. 2.What is the difference between the compound interest and the simple interest on ₹47500 at 12% per year for 2 years (in ₹)?
3. 3.Use (a − b)² = a² − 2ab + b² to find 56².
4. 4.A town has 21200 people. The population grows by 20% every year. What will the population be after 2 years?
5. 5.Find the compound interest on ₹27000 at 20% per year for 2 years, compounded every year (in ₹).
6. 6.Write 5¹⁵ ÷ 5⁹ as a single power 5ⁿ. What is n?
7. 7.Use (a − b)² = a² − 2ab + b² to find 17².
8. 8.The sum of three consecutive whole numbers is 153. What is the largest of them?
9. 9.The sum of three consecutive whole numbers is 156. What is the largest of them?
10. 10.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
11. 11.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
12. 12.What is 4³? =
13. 13.If a + b = 14 and ab = 33, what is a² + b²?
14. 14.Find the compound interest on ₹34700 at 10% per year for 2 years, compounded every year (in ₹).
15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
16. 16.A square garden has an area of 1444 square m. How long is each side (in m)?
17. 17.Use (a + b)(a − b) = a² − b² to find 35 × 25.
18. 18.What is the difference between the compound interest and the simple interest on ₹27500 at 8% per year for 2 years (in ₹)?
19. 19.Find the compound interest on ₹8000 at 10% per year for 3 years, compounded every year (in ₹).
20. 20.The sum of three consecutive whole numbers is 90. What is the largest of them?
21. 21.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
22. 22.What is the value of 2¹ × 2⁻⁶? =
23. 23.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
24. 24.If a − b = 1 and ab = 132, what is a² + b²?
25. 25.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
26. 26.The sum of four consecutive whole numbers is 206. What is the smallest of them?
27. 27.What is the value of 3³ × 3⁻¹? =
28. 28.What is the value of 2⁻¹ (as a fraction)? =
29. 29.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
30. 30.What is the difference between the compound interest and the simple interest on ₹40000 at 4% per year for 2 years (in ₹)?
31. 31.Use (a − b)² = a² − 2ab + b² to find 27².
32. 32.Write 4.7 × 10⁻⁴ as a decimal. =
33. 33.What is 72²? =
34. 34.Use (a + b)(a − b) = a² − b² to find 65 × 55.
35. 35.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
36. 36.A town has 36000 people. The population grows by 10% every year. What will the population be after 3 years?
37. 37.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
38. 38.A scooter is worth ₹16000. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
39. 39.What is 20²? =
40. 40.The sum of three consecutive whole numbers is 57. What is the smallest of them?

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