Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 776 · 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 smallest whole number by which 864 must be multiplied to get a perfect cube?
2. 2.What is the difference between the compound interest and the simple interest on ₹7500 at 12% per year for 2 years (in ₹)?
3. 3.What is the value of (3/5)⁻¹? =
4. 4.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
5. 5.Find the compound interest on ₹26400 at 5% per year for 2 years, compounded every year (in ₹).
6. 6.What is the smallest whole number by which 32 must be divided to get a perfect cube?
7. 7.What is the value of 2⁸? =
8. 8.The diagonals of a rhombus are 4 cm and 9 cm. What is its area (in square cm)?
9. 9.What is the difference between the compound interest and the simple interest on ₹2000 at 25% per year for 2 years (in ₹)?
10. 10.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
11. 11.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
12. 12.A square garden has an area of 529 square m. How long is each side (in m)?
13. 13.A town has 28800 people. The population grows by 8% every year. What will the population be after 1 year?
14. 14.Which of these is a perfect square? (a) 196 (b) 217 (c) 212
15. 15.Which of these is a perfect square? (a) 866 (b) 871 (c) 841
16. 16.What is the smallest whole number by which 832 must be divided to get a perfect square?
17. 17.Write 5¹³ ÷ 5⁷ as a single power 5ⁿ. What is n?
18. 18.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
19. 19.A square garden has an area of 2916 square m. How long is each side (in m)?
20. 20.What amount will ₹24800 grow to in 2 years at 15% per year compound interest (in ₹)?
21. 21.What is ∛27? =
22. 22.Use (a + b)(a − b) = a² − b² to find 67 × 53.
23. 23.Find the compound interest on ₹59000 at 10% per year for 1 year, compounded every year (in ₹).
24. 24.Find the value of x² − 2xy + y² when x = 9 and y = 1.
25. 25.Write 94,00,000 in standard form as 9.4 × 10ⁿ. What is n?
26. 26.A town has 36500 people. The population grows by 20% every year. What will the population be after 3 years?
27. 27.Find the compound interest on ₹7500 at 12% per year for 2 years, compounded every year (in ₹).
28. 28.Solve: 6x + 4 = 4x + 30. What is x?
29. 29.Find the value of x² − y² when x = 7 and y = 1.
30. 30.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
31. 31.Use a² − b² = (a + b)(a − b) to find 99² − 44².
32. 32.The diagonals of a rhombus are 16 cm and 30 cm. What is its area (in square cm)?
33. 33.Use (a + b)(a − b) = a² − b² to find 91 × 89.
34. 34.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
35. 35.Write 6.6 × 10⁻³ as a decimal. =
36. 36.Use (a − b)² = a² − 2ab + b² to find 44².
37. 37.What is ∛2744? =
38. 38.7.4 × 10⁴ =
39. 39.What is the value of 7⁻³ (as a fraction)? =
40. 40.A scooter is worth ₹32400. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?

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