Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 622 · 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.A trapezium has parallel sides of 27 cm and 29 cm, and the distance between them is 15 cm. What is its area (in square cm)?
2. 2.What is the value of 7⁵? =
3. 3.Which of these is a perfect cube? (a) 3033 (b) 2744 (c) 3273
4. 4.Use (a − b)² = a² − 2ab + b² to find 33².
5. 5.What is √3481? =
6. 6.What is the smallest whole number by which 117 must be multiplied to get a perfect square?
7. 7.The sum of three consecutive whole numbers is 117. What is the smallest of them?
8. 8.Solve: 5n + 4 = 3n + 12. What is n?
9. 9.The length of a rectangle is 5 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
10. 10.What is √1600? =
11. 11.Solve: 9x + 16 = 3x + 82. What is x?
12. 12.What is the smallest whole number by which 16 must be divided to get a perfect cube?
13. 13.Write 5¹³ ÷ 5⁹ as a single power 5ⁿ. What is n?
14. 14.A cuboid is 11 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
15. 15.A square garden has an area of 169 square m. How long is each side (in m)?
16. 16.A town has 11000 people. The population grows by 10% every year. What will the population be after 3 years?
17. 17.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
18. 18.Use (a + b)² = a² + 2ab + b² to find 93².
19. 19.What is the value of 9⁻³ (as a fraction)? =
20. 20.What is the value of 7³? =
21. 21.Which of these is a perfect cube? (a) 153 (b) 125 (c) 160
22. 22.How many whole numbers lie between 47² and 48²?
23. 23.Find the compound interest on ₹28100 at 12% per year for 1 year, compounded every year (in ₹).
24. 24.A town has 36600 people. The population grows by 25% every year. What will the population be after 1 year?
25. 25.Solve: 5(t − 5) = t + 15. What is t?
26. 26.The diagonals of a rhombus are 14 cm and 4 cm. What is its area (in square cm)?
27. 27.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
28. 28.Which of these is a perfect square? (a) 621 (b) 576 (c) 597
29. 29.What is the value of (1/9)⁻¹? =
30. 30.What is 10³? =
31. 31.Write 2,20,000 in standard form as 2.2 × 10ⁿ. What is n?
32. 32.How many whole numbers lie between 23² and 24²?
33. 33.Find the value of x² − y² when x = 13 and y = 4.
34. 34.Solve: t/5 + t/2 = 21. What is t?
35. 35.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
36. 36.A square garden has an area of 361 square m. How long is each side (in m)?
37. 37.1.5 × 10⁷ =
38. 38.What is the smallest whole number by which 539 must be multiplied to get a perfect square?
39. 39.Use a² − b² = (a + b)(a − b) to find 55² − 41².
40. 40.Which of these is a perfect cube? (a) 729 (b) 903 (c) 826

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