Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 938 · 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 room is 8 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
2. 2.What is 15³? =
3. 3.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
4. 4.A square garden has an area of 2500 square m. How long is each side (in m)?
5. 5.Use (a − b)² = a² − 2ab + b² to find 34².
6. 6.Which of these is a perfect square? (a) 594 (b) 577 (c) 576
7. 7.Find the value of x² + 2xy + y² when x = 12 and y = 10.
8. 8.Use (a − b)² = a² − 2ab + b² to find 57².
9. 9.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
10. 10.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
11. 11.Write (3⁴)⁹ as a single power 3ⁿ. What is n?
12. 12.Which of these is a perfect cube? (a) 387 (b) 343 (c) 354
13. 13.Which of these is a perfect square? (a) 357 (b) 358 (c) 324
14. 14.What is the difference between the compound interest and the simple interest on ₹33500 at 10% per year for 2 years (in ₹)?
15. 15.A square garden has an area of 361 square m. How long is each side (in m)?
16. 16.How many whole numbers lie between 41² and 42²?
17. 17.3.7 × 10³ =
18. 18.A square garden has an area of 3136 square m. How long is each side (in m)?
19. 19.Use (a + b)² = a² + 2ab + b² to find 41².
20. 20.Write (9³)⁵ as a single power 9ⁿ. What is n?
21. 21.A town has 26400 people. The population grows by 10% every year. What will the population be after 2 years?
22. 22.What is the smallest whole number by which 3 must be divided to get a perfect cube?
23. 23.A square garden has an area of 2809 square m. How long is each side (in m)?
24. 24.Use (a − b)² = a² − 2ab + b² to find 68².
25. 25.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
26. 26.Solve: 6p + 6 = 3p + 51. What is p?
27. 27.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
28. 28.Write 4¹⁶ ÷ 4⁷ as a single power 4ⁿ. What is n?
29. 29.Use (a + b)(a − b) = a² − b² to find 84 × 76.
30. 30.Solve: 3(p − 2) = 2p + 12. What is p?
31. 31.Find the value of x² − y² when x = 13 and y = 6.
32. 32.The length of a rectangle is 3 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
33. 33.Solve: m/6 + m/4 = 15. What is m?
34. 34.What amount will ₹5700 grow to in 1 year at 10% per year compound interest (in ₹)?
35. 35.Find the compound interest on ₹56000 at 15% per year for 3 years, compounded every year (in ₹).
36. 36.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
37. 37.A trapezium has an area of 140 square cm. Its parallel sides are 19 cm and 16 cm. What is the distance between them (in cm)?
38. 38.Find the compound interest on ₹45600 at 12% per year for 1 year, compounded every year (in ₹).
39. 39.What is 30²? =
40. 40.The sum of two consecutive whole numbers is 71. What is the smallest of them?

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