Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 484 · 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.If a + b = 22 and ab = 120, what is a² + b²?
2. 2.The length of a rectangle is 6 cm more than its width. Its perimeter is 28 cm. What is its width (in cm)?
3. 3.Use (a + b)(a − b) = a² − b² to find 101 × 99.
4. 4.Solve: 8x + 11 = 2x + 53. What is x?
5. 5.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
6. 6.Use (a − b)² = a² − 2ab + b² to find 17².
7. 7.A cuboid is 4 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
8. 8.A town has 40000 people. The population grows by 4% every year. What will the population be after 2 years?
9. 9.What is the value of 2⁵ × 2⁻⁴? =
10. 10.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
11. 11.Solve: 6x + 15 = 3x + 21. What is x?
12. 12.What is the smallest whole number by which 208 must be divided to get a perfect square?
13. 13.What is ∛8? =
14. 14.What is the smallest whole number by which 200 must be divided to get a perfect cube?
15. 15.What is 9³? =
16. 16.Use (a + b)² = a² + 2ab + b² to find 18².
17. 17.A trapezium has an area of 228 square cm. Its parallel sides are 18 cm and 20 cm. What is the distance between them (in cm)?
18. 18.Find the value of x² − y² when x = 10 and y = 2.
19. 19.Use (a + b)² = a² + 2ab + b² to find 29².
20. 20.A trapezium has parallel sides of 30 cm and 4 cm, and the distance between them is 11 cm. What is its area (in square cm)?
21. 21.A scooter is worth ₹8000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
22. 22.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
23. 23.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
24. 24.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
25. 25.A trapezium has parallel sides of 7 cm and 5 cm, and the distance between them is 5 cm. What is its area (in square cm)?
26. 26.Use (a − b)² = a² − 2ab + b² to find 88².
27. 27.Which of these is a perfect square? (a) 141 (b) 139 (c) 121
28. 28.What is the value of 7³? =
29. 29.What amount will ₹16000 grow to in 3 years at 5% per year compound interest (in ₹)?
30. 30.Write 2⁹ × 2² as a single power 2ⁿ. What is n?
31. 31.What is the difference between the compound interest and the simple interest on ₹6800 at 5% per year for 2 years (in ₹)?
32. 32.Find the compound interest on ₹10300 at 15% per year for 1 year, compounded every year (in ₹).
33. 33.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
34. 34.The sum of two consecutive whole numbers is 15. What is the smallest of them?
35. 35.Find the compound interest on ₹30200 at 8% per year for 1 year, compounded every year (in ₹).
36. 36.A scooter is worth ₹14700. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
37. 37.What is the value of 4⁻⁴ (as a fraction)? =
38. 38.What amount will ₹25600 grow to in 2 years at 5% per year compound interest (in ₹)?
39. 39.Find the compound interest on ₹27000 at 20% per year for 3 years, compounded every year (in ₹).
40. 40.A trapezium has an area of 119 square cm. Its parallel sides are 19 cm and 15 cm. What is the distance between them (in cm)?

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