Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 918 · 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 71²? =
2. 2.A town has 29500 people. The population grows by 20% every year. What will the population be after 3 years?
3. 3.What is ∛4913? =
4. 4.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
5. 5.What is ∛12167? =
6. 6.What is the value of 3² × 3⁻⁴? =
7. 7.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
8. 8.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
9. 9.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
10. 10.Find the compound interest on ₹57200 at 25% per year for 1 year, compounded every year (in ₹).
11. 11.Use (a + b)² = a² + 2ab + b² to find 103².
12. 12.Which of these is a perfect cube? (a) 1185 (b) 1000 (c) 1091
13. 13.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?
14. 14.Find the value of x² − 2xy + y² when x = 4 and y = 1.
15. 15.Write 7⁴ ÷ 7² as a single power 7ⁿ. What is n?
16. 16.Use (a − b)² = a² − 2ab + b² to find 88².
17. 17.Solve: 4m + 7 = 2m + 13. What is m?
18. 18.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
19. 19.What is 11³? =
20. 20.What is the value of 2¹⁶? =
21. 21.Use a² − b² = (a + b)(a − b) to find 45² − 41².
22. 22.What is 25²? =
23. 23.Solve: 4(x − 3) = x + 36. What is x?
24. 24.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
25. 25.Solve: t/3 + t/4 = 7. What is t?
26. 26.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
27. 27.What is ∛512? =
28. 28.Find the compound interest on ₹41500 at 25% per year for 1 year, compounded every year (in ₹).
29. 29.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
30. 30.What is the value of 10¹ × 10⁻⁶? =
31. 31.Find the compound interest on ₹5400 at 20% per year for 1 year, compounded every year (in ₹).
32. 32.8.6 × 10² =
33. 33.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).
34. 34.The sum of four consecutive whole numbers is 110. What is the smallest of them?
35. 35.Write 1.1 × 10⁻² as a decimal. =
36. 36.Use (a + b)(a − b) = a² − b² to find 101 × 99.
37. 37.A trapezium has parallel sides of 21 cm and 4 cm, and the distance between them is 18 cm. What is its area (in square cm)?
38. 38.Solve: 6(p − 5) = 2p + 22. What is p?
39. 39.What is the smallest whole number by which 24 must be multiplied to get a perfect square?
40. 40.What is 45²? =

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