Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 327 · 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 value of x² − y² when x = 14 and y = 5.
2. 2.Use (a + b)(a − b) = a² − b² to find 88 × 72.
3. 3.Write 2⁸ ÷ 2⁵ as a single power 2ⁿ. What is n?
4. 4.Use (a − b)² = a² − 2ab + b² to find 49².
5. 5.What is the value of 2⁷? =
6. 6.Which of these is a perfect square? (a) 115 (b) 100 (c) 113
7. 7.Write 21,000 in standard form as 2.1 × 10ⁿ. What is n?
8. 8.The diagonals of a rhombus are 14 cm and 12 cm. What is its area (in square cm)?
9. 9.Solve: y/4 + y/3 = 56. What is y?
10. 10.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
11. 11.What is the value of 3⁴? =
12. 12.What is the value of 2² × 2⁻⁴? =
13. 13.A trapezium has parallel sides of 29 cm and 12 cm, and the distance between them is 10 cm. What is its area (in square cm)?
14. 14.A town has 24000 people. The population grows by 5% every year. What will the population be after 3 years?
15. 15.The diagonals of a rhombus are 22 cm and 14 cm. What is its area (in square cm)?
16. 16.Solve: 3(t − 4) = 2t + 12. What is t?
17. 17.What is the value of 2¹⁰? =
18. 18.Solve: y/5 + y/4 = 63. What is y?
19. 19.What is the difference between the compound interest and the simple interest on ₹35200 at 15% per year for 2 years (in ₹)?
20. 20.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
21. 21.What is the smallest whole number by which 40 must be multiplied to get a perfect square?
22. 22.Use (a + b)² = a² + 2ab + b² to find 14².
23. 23.A cuboid is 8 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
24. 24.Find the compound interest on ₹18600 at 10% per year for 2 years, compounded every year (in ₹).
25. 25.Find the compound interest on ₹5000 at 4% per year for 2 years, compounded every year (in ₹).
26. 26.What is the difference between the compound interest and the simple interest on ₹55000 at 4% per year for 2 years (in ₹)?
27. 27.Which of these is a perfect square? (a) 376 (b) 361 (c) 367
28. 28.Solve: n/2 + n/5 = 49. What is n?
29. 29.The length of a rectangle is 4 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
30. 30.Which of these is a perfect cube? (a) 139 (b) 125 (c) 157
31. 31.Which of these is a perfect cube? (a) 596 (b) 512 (c) 567
32. 32.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
33. 33.What is the smallest whole number by which 112 must be divided to get a perfect square?
34. 34.Which of these is a perfect square? (a) 1345 (b) 1338 (c) 1296
35. 35.A scooter is worth ₹11100. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
36. 36.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
37. 37.2.7 × 10³ =
38. 38.What amount will ₹35000 grow to in 2 years at 4% per year compound interest (in ₹)?
39. 39.Find the compound interest on ₹41600 at 15% per year for 2 years, compounded every year (in ₹).
40. 40.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?

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