Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 620 · 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.Which of these is a perfect square? (a) 625 (b) 648 (c) 630
2. 2.Which of these is a perfect square? (a) 1047 (b) 1024 (c) 1086
3. 3.Use a² − b² = (a + b)(a − b) to find 41² − 6².
4. 4.Which of these is a perfect cube? (a) 2203 (b) 2520 (c) 2197
5. 5.Solve: 6p + 19 = 2p + 43. What is p?
6. 6.A square garden has an area of 441 square m. How long is each side (in m)?
7. 7.Find the compound interest on ₹56400 at 15% per year for 1 year, compounded every year (in ₹).
8. 8.A square garden has an area of 324 square m. How long is each side (in m)?
9. 9.What is the value of 2⁴ × 2⁻²? =
10. 10.What amount will ₹10800 grow to in 2 years at 5% per year compound interest (in ₹)?
11. 11.Use a² − b² = (a + b)(a − b) to find 39² − 13².
12. 12.What is the value of 5⁴? =
13. 13.Find the compound interest on ₹25000 at 4% per year for 2 years, compounded every year (in ₹).
14. 14.How many whole numbers lie between 44² and 45²?
15. 15.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
16. 16.Find the compound interest on ₹10000 at 4% per year for 2 years, compounded every year (in ₹).
17. 17.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
18. 18.Use a² − b² = (a + b)(a − b) to find 34² − 10².
19. 19.Use (a − b)² = a² − 2ab + b² to find 46².
20. 20.Use (a + b)² = a² + 2ab + b² to find 62².
21. 21.What is the value of 5⁵? =
22. 22.Find the compound interest on ₹49700 at 5% per year for 1 year, compounded every year (in ₹).
23. 23.Solve: 6(y − 4) = y + 41. What is y?
24. 24.What is the value of 9⁵? =
25. 25.A cuboid is 12 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
26. 26.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
27. 27.Use a² − b² = (a + b)(a − b) to find 92² − 35².
28. 28.What is 9³? =
29. 29.Use (a + b)² = a² + 2ab + b² to find 14².
30. 30.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
31. 31.Find the value of x² − 2xy + y² when x = 3 and y = 1.
32. 32.What is the value of 2¹⁴? =
33. 33.The sum of three consecutive whole numbers is 153. What is the smallest of them?
34. 34.A room is 3 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
35. 35.A scooter is worth ₹28000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
36. 36.What is 64²? =
37. 37.A square garden has an area of 3364 square m. How long is each side (in m)?
38. 38.4 × 10² =
39. 39.What is the smallest whole number by which 294 must be divided to get a perfect square?
40. 40.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?

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