Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 92 · 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 sum of the first 25 odd numbers (1 + 3 + 5 + …)?
2. 2.A square garden has an area of 2601 square m. How long is each side (in m)?
3. 3.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
4. 4.Find the compound interest on ₹43700 at 20% per year for 2 years, compounded every year (in ₹).
5. 5.What is the difference between the compound interest and the simple interest on ₹2500 at 8% per year for 2 years (in ₹)?
6. 6.Find the value of x² − 2xy + y² when x = 7 and y = 2.
7. 7.Write 870 in standard form as 8.7 × 10ⁿ. What is n?
8. 8.How many whole numbers lie between 11² and 12²?
9. 9.What is the value of 4⁵? =
10. 10.What is ∛1728? =
11. 11.A trapezium has an area of 133 square cm. Its parallel sides are 22 cm and 16 cm. What is the distance between them (in cm)?
12. 12.What is the value of 3⁸? =
13. 13.Find the compound interest on ₹32000 at 25% per year for 3 years, compounded every year (in ₹).
14. 14.The diagonals of a rhombus are 20 cm and 28 cm. What is its area (in square cm)?
15. 15.The sum of two consecutive whole numbers is 21. What is the smallest of them?
16. 16.Use (a + b)(a − b) = a² − b² to find 41 × 39.
17. 17.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
18. 18.Use (a − b)² = a² − 2ab + b² to find 47².
19. 19.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
20. 20.Find the compound interest on ₹47600 at 25% per year for 1 year, compounded every year (in ₹).
21. 21.Write 2¹⁰ ÷ 2⁶ as a single power 2ⁿ. What is n?
22. 22.What is 17³? =
23. 23.Use (a + b)(a − b) = a² − b² to find 25 × 15.
24. 24.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
25. 25.Write 4¹² ÷ 4⁸ as a single power 4ⁿ. What is n?
26. 26.A town has 33800 people. The population grows by 10% every year. What will the population be after 2 years?
27. 27.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
28. 28.Solve: 9x + 13 = 2x + 97. What is x?
29. 29.Find the value of x² − y² when x = 3 and y = 2.
30. 30.The sum of two consecutive whole numbers is 53. What is the smallest of them?
31. 31.What amount will ₹51000 grow to in 1 year at 25% per year compound interest (in ₹)?
32. 32.Solve: 4x + 10 = 3x + 11. What is x?
33. 33.What is √6084? =
34. 34.Which of these is a perfect square? (a) 723 (b) 696 (c) 676
35. 35.Use (a + b)² = a² + 2ab + b² to find 104².
36. 36.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
37. 37.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
38. 38.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
39. 39.A trapezium has an area of 297 square cm. Its parallel sides are 28 cm and 5 cm. What is the distance between them (in cm)?
40. 40.What is 13³? =

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