Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 131 · 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 27 odd numbers (1 + 3 + 5 + …)?
2. 2.What is the value of 8⁻¹ (as a fraction)? =
3. 3.Which of these is a perfect cube? (a) 1274 (b) 1233 (c) 1000
4. 4.Find the compound interest on ₹47000 at 4% per year for 1 year, compounded every year (in ₹).
5. 5.Solve: 5n + 13 = 2n + 46. What is n?
6. 6.What is the smallest whole number by which 224 must be multiplied to get a perfect square?
7. 7.Solve: p/6 + p/3 = 15. What is p?
8. 8.What is the value of 8³? =
9. 9.Use (a + b)² = a² + 2ab + b² to find 38².
10. 10.The diagonals of a rhombus are 22 cm and 23 cm. What is its area (in square cm)?
11. 11.Write (4⁴)⁵ as a single power 4ⁿ. What is n?
12. 12.Solve: 7p + 1 = p + 79. What is p?
13. 13.Find the compound interest on ₹10800 at 5% per year for 1 year, compounded every year (in ₹).
14. 14.The length of a rectangle is 1 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
15. 15.A square garden has an area of 784 square m. How long is each side (in m)?
16. 16.Write 6 × 10⁻⁴ as a decimal. =
17. 17.Use (a + b)(a − b) = a² − b² to find 61 × 59.
18. 18.A father is 8 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
19. 19.What is the value of 2⁻³ (as a fraction)? =
20. 20.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
21. 21.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
22. 22.A trapezium has parallel sides of 11 cm and 30 cm, and the distance between them is 12 cm. What is its area (in square cm)?
23. 23.Find the compound interest on ₹7200 at 25% per year for 2 years, compounded every year (in ₹).
24. 24.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
25. 25.The diagonals of a rhombus are 28 cm and 17 cm. What is its area (in square cm)?
26. 26.If a + b = 15 and ab = 50, what is a² + b²?
27. 27.What is the value of 4⁸? =
28. 28.The length of a rectangle is 13 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
29. 29.What is the smallest whole number by which 896 must be multiplied to get a perfect square?
30. 30.What is the value of 5¹ × 5⁻⁵? =
31. 31.1.6 × 10³ =
32. 32.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
33. 33.A square garden has an area of 289 square m. How long is each side (in m)?
34. 34.What is the value of 10²? =
35. 35.A trapezium has an area of 45 square cm. Its parallel sides are 6 cm and 3 cm. What is the distance between them (in cm)?
36. 36.A cuboid is 5 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
37. 37.Which of these is a perfect cube? (a) 423 (b) 343 (c) 350
38. 38.How many whole numbers lie between 13² and 14²?
39. 39.Use (a + b)² = a² + 2ab + b² to find 39².
40. 40.Find the value of x² + 2xy + y² when x = 9 and y = 2.

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