Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 891 · 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.Write 5,200 in standard form as 5.2 × 10ⁿ. What is n?
2. 2.Write (5⁷)⁷ as a single power 5ⁿ. What is n?
3. 3.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
4. 4.Write (9⁶)⁵ as a single power 9ⁿ. What is n?
5. 5.What is the value of 4⁶? =
6. 6.Solve: 6(x − 1) = 3x + 15. What is x?
7. 7.A room is 7 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.9.5 × 10² =
9. 9.1.1 × 10⁴ =
10. 10.Use (a + b)² = a² + 2ab + b² to find 99².
11. 11.Which of these is a perfect cube? (a) 703 (b) 512 (c) 594
12. 12.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
13. 13.Write 5.2 × 10⁻⁴ as a decimal. =
14. 14.Write (6³)² as a single power 6ⁿ. What is n?
15. 15.A square garden has an area of 2304 square m. How long is each side (in m)?
16. 16.A room is 6 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
17. 17.What is √3721? =
18. 18.What amount will ₹16000 grow to in 2 years at 5% per year compound interest (in ₹)?
19. 19.A father is 26 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
20. 20.Use (a − b)² = a² − 2ab + b² to find 86².
21. 21.What is 7³? =
22. 22.Find the compound interest on ₹47500 at 12% per year for 2 years, compounded every year (in ₹).
23. 23.What is ∛2744? =
24. 24.Find the compound interest on ₹51000 at 20% per year for 2 years, compounded every year (in ₹).
25. 25.Which of these is a perfect cube? (a) 125 (b) 126 (c) 142
26. 26.Find the compound interest on ₹14000 at 25% per year for 2 years, compounded every year (in ₹).
27. 27.Find the compound interest on ₹16000 at 25% per year for 2 years, compounded every year (in ₹).
28. 28.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
29. 29.A town has 45700 people. The population grows by 20% every year. What will the population be after 1 year?
30. 30.Write 5 × 10⁻¹ as a decimal. =
31. 31.Which of these is a perfect square? (a) 729 (b) 755 (c) 768
32. 32.Use (a + b)(a − b) = a² − b² to find 103 × 97.
33. 33.Write 9¹⁴ ÷ 9⁶ as a single power 9ⁿ. What is n?
34. 34.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
35. 35.What amount will ₹11000 grow to in 3 years at 10% per year compound interest (in ₹)?
36. 36.The diagonals of a rhombus are 12 cm and 13 cm. What is its area (in square cm)?
37. 37.What amount will ₹42800 grow to in 2 years at 25% per year compound interest (in ₹)?
38. 38.Which of these is a perfect cube? (a) 1331 (b) 1368 (c) 1378
39. 39.What is √9801? =
40. 40.What amount will ₹2500 grow to in 1 year at 4% per year compound interest (in ₹)?

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