Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 388 · 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.A scooter is worth ₹47200. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
2. 2.A cuboid is 3 cm long, 10 cm wide and 10 cm high. What is its total surface area (in square cm)?
3. 3.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
4. 4.The diagonals of a rhombus are 16 cm and 25 cm. What is its area (in square cm)?
5. 5.What is the smallest whole number by which 486 must be multiplied to get a perfect square?
6. 6.Use (a + b)² = a² + 2ab + b² to find 67².
7. 7.What is the value of 2⁵ × 2⁻¹? =
8. 8.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
9. 9.What is 46²? =
10. 10.Solve: 6(m − 4) = 5m + 5. What is m?
11. 11.Which of these is a perfect square? (a) 1499 (b) 1444 (c) 1516
12. 12.What is ∛64? =
13. 13.What is 8³? =
14. 14.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
15. 15.Use (a + b)² = a² + 2ab + b² to find 54².
16. 16.A square garden has an area of 2401 square m. How long is each side (in m)?
17. 17.2.6 × 10² =
18. 18.What is the value of 5³? =
19. 19.What is ∛2744? =
20. 20.Which of these is a perfect square? (a) 293 (b) 296 (c) 289
21. 21.Which of these is a perfect square? (a) 1296 (b) 1355 (c) 1347
22. 22.Which of these is a perfect square? (a) 513 (b) 484 (c) 499
23. 23.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
24. 24.Write (5⁴)⁴ as a single power 5ⁿ. What is n?
25. 25.Use (a + b)(a − b) = a² − b² to find 22 × 18.
26. 26.The sum of four consecutive whole numbers is 86. What is the smallest of them?
27. 27.If a − b = 2 and ab = 3, what is a² + b²?
28. 28.Solve: 4(t − 4) = 2t + 2. What is t?
29. 29.Solve: 3(m − 4) = 2m + 8. What is m?
30. 30.Find the value of x² − y² when x = 12 and y = 7.
31. 31.If a − b = 5 and ab = 24, what is a² + b²?
32. 32.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
33. 33.Find the compound interest on ₹7000 at 20% per year for 3 years, compounded every year (in ₹).
34. 34.What is the value of 3⁴? =
35. 35.Find the compound interest on ₹31300 at 20% per year for 2 years, compounded every year (in ₹).
36. 36.Which of these is a perfect square? (a) 1548 (b) 1549 (c) 1521
37. 37.Use (a + b)(a − b) = a² − b² to find 55 × 45.
38. 38.Use a² − b² = (a + b)(a − b) to find 99² − 14².
39. 39.What is √4489? =
40. 40.Write (3⁹)² as a single power 3ⁿ. What is n?

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