Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 993 · 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.Find the compound interest on ₹28400 at 10% per year for 2 years, compounded every year (in ₹).
2. 2.A square garden has an area of 2601 square m. How long is each side (in m)?
3. 3.Use (a − b)² = a² − 2ab + b² to find 49².
4. 4.Solve: 7p + 6 = 3p + 50. What is p?
5. 5.A trapezium has an area of 288 square cm. Its parallel sides are 11 cm and 21 cm. What is the distance between them (in cm)?
6. 6.What is 45²? =
7. 7.Solve: n/3 + n/2 = 10. What is n?
8. 8.Write 7⁴ × 7⁶ as a single power 7ⁿ. What is n?
9. 9.Find the compound interest on ₹36000 at 20% per year for 3 years, compounded every year (in ₹).
10. 10.What is ∛27? =
11. 11.What is ∛64? =
12. 12.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
13. 13.What is 42²? =
14. 14.What is the difference between the compound interest and the simple interest on ₹30000 at 4% per year for 2 years (in ₹)?
15. 15.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
16. 16.Write 9.8 × 10⁻² as a decimal. =
17. 17.A trapezium has an area of 400 square cm. Its parallel sides are 19 cm and 21 cm. What is the distance between them (in cm)?
18. 18.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
19. 19.What is ∛512? =
20. 20.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
21. 21.What is the value of (1/3)⁻²? =
22. 22.What is √2704? =
23. 23.Which of these is a perfect cube? (a) 1728 (b) 1740 (c) 1836
24. 24.Use (a + b)(a − b) = a² − b² to find 51 × 49.
25. 25.What is the value of 2²? =
26. 26.Write 3,60,00,000 in standard form as 3.6 × 10ⁿ. What is n?
27. 27.What is the value of 6⁻² (as a fraction)? =
28. 28.The length of a rectangle is 12 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
29. 29.What is the smallest whole number by which 45 must be divided to get a perfect square?
30. 30.Use (a − b)² = a² − 2ab + b² to find 41².
31. 31.What is 11³? =
32. 32.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
33. 33.What is 8³? =
34. 34.Which of these is a perfect square? (a) 1444 (b) 1474 (c) 1462
35. 35.What is 6³? =
36. 36.What is the smallest whole number by which 896 must be multiplied to get a perfect square?
37. 37.Find the compound interest on ₹10000 at 4% per year for 2 years, compounded every year (in ₹).
38. 38.Use a² − b² = (a + b)(a − b) to find 97² − 84².
39. 39.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
40. 40.A square garden has an area of 1296 square m. How long is each side (in m)?

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