Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 198 · 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.Solve: 4y + 1 = 2y + 9. What is y?
2. 2.Use (a + b)² = a² + 2ab + b² to find 105².
3. 3.Find the compound interest on ₹38500 at 10% per year for 2 years, compounded every year (in ₹).
4. 4.Find the compound interest on ₹19800 at 5% per year for 1 year, compounded every year (in ₹).
5. 5.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).
6. 6.Which of these is a perfect cube? (a) 245 (b) 299 (c) 216
7. 7.Find the value of x² + 2xy + y² when x = 4 and y = 2.
8. 8.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
9. 9.A square garden has an area of 3364 square m. How long is each side (in m)?
10. 10.2.5 × 10⁴ =
11. 11.What is the value of 3⁵ × 3⁻³? =
12. 12.Find the compound interest on ₹19900 at 10% per year for 2 years, compounded every year (in ₹).
13. 13.A square garden has an area of 256 square m. How long is each side (in m)?
14. 14.What is 62²? =
15. 15.What amount will ₹41800 grow to in 1 year at 10% per year compound interest (in ₹)?
16. 16.What is the difference between the compound interest and the simple interest on ₹37500 at 12% per year for 2 years (in ₹)?
17. 17.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
18. 18.Find the compound interest on ₹2000 at 10% per year for 3 years, compounded every year (in ₹).
19. 19.The diagonals of a rhombus are 28 cm and 26 cm. What is its area (in square cm)?
20. 20.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
21. 21.How many whole numbers lie between 6² and 7²?
22. 22.Find the value of x² + 2xy + y² when x = 4 and y = 1.
23. 23.Write 12,00,000 in standard form as 1.2 × 10ⁿ. What is n?
24. 24.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
25. 25.Use (a − b)² = a² − 2ab + b² to find 23².
26. 26.Use (a + b)² = a² + 2ab + b² to find 45².
27. 27.Write 6⁵ × 6⁷ as a single power 6ⁿ. What is n?
28. 28.How many whole numbers lie between 26² and 27²?
29. 29.The length of a rectangle is 13 cm more than its width. Its perimeter is 126 cm. What is its width (in cm)?
30. 30.Use (a − b)² = a² − 2ab + b² to find 29².
31. 31.Write 4.3 × 10⁻⁴ as a decimal. =
32. 32.If a + b = 15 and ab = 36, what is a² + b²?
33. 33.1.5 × 10⁷ =
34. 34.What is 28²? =
35. 35.Solve: 5(t − 2) = 3t + 14. What is t?
36. 36.Which of these is a perfect square? (a) 783 (b) 736 (c) 729
37. 37.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
38. 38.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
39. 39.Use (a − b)² = a² − 2ab + b² to find 38².
40. 40.A town has 46200 people. The population grows by 12% every year. What will the population be after 1 year?

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