Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 972 · 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.Solve: 5(p − 2) = p + 10. What is p?
2. 2.Use a² − b² = (a + b)(a − b) to find 33² − 14².
3. 3.A cuboid is 13 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
4. 4.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
5. 5.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
6. 6.Use (a + b)² = a² + 2ab + b² to find 99².
7. 7.What is 89²? =
8. 8.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
9. 9.What is the value of 9⁻¹ (as a fraction)? =
10. 10.Use a² − b² = (a + b)(a − b) to find 72² − 51².
11. 11.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
12. 12.Use (a + b)(a − b) = a² − b² to find 72 × 68.
13. 13.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
14. 14.What is 4³? =
15. 15.What amount will ₹45200 grow to in 2 years at 5% per year compound interest (in ₹)?
16. 16.A scooter is worth ₹20600. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
17. 17.How many whole numbers lie between 5² and 6²?
18. 18.Which of these is a perfect cube? (a) 3933 (b) 3451 (c) 3375
19. 19.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
20. 20.A scooter is worth ₹12500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
21. 21.If a − b = 2 and ab = 15, what is a² + b²?
22. 22.The length of a rectangle is 9 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
23. 23.Find the compound interest on ₹34000 at 10% per year for 3 years, compounded every year (in ₹).
24. 24.Write 7.7 × 10⁻¹ as a decimal. =
25. 25.Use (a − b)² = a² − 2ab + b² to find 39².
26. 26.What is ∛2197? =
27. 27.How many whole numbers lie between 15² and 16²?
28. 28.How many whole numbers lie between 45² and 46²?
29. 29.What is 50²? =
30. 30.A cuboid is 6 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
31. 31.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
32. 32.What is the difference between the compound interest and the simple interest on ₹50400 at 5% per year for 2 years (in ₹)?
33. 33.What is √8464? =
34. 34.A town has 4500 people. The population grows by 20% every year. What will the population be after 3 years?
35. 35.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
36. 36.The length of a rectangle is 10 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
37. 37.Solve: x/4 + x/3 = 56. What is x?
38. 38.How many whole numbers lie between 47² and 48²?
39. 39.What is 88²? =
40. 40.A trapezium has parallel sides of 5 cm and 29 cm, and the distance between them is 14 cm. What is its area (in square cm)?

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