Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 418 · 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.Use (a − b)² = a² − 2ab + b² to find 35².
2. 2.Which of these is a perfect square? (a) 130 (b) 122 (c) 121
3. 3.Use (a + b)(a − b) = a² − b² to find 31 × 29.
4. 4.Find the compound interest on ₹13700 at 25% per year for 1 year, compounded every year (in ₹).
5. 5.Use (a + b)(a − b) = a² − b² to find 102 × 98.
6. 6.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
7. 7.What is the value of 3⁻² (as a fraction)? =
8. 8.If a + b = 21 and ab = 108, what is a² + b²?
9. 9.What amount will ₹34800 grow to in 1 year at 5% per year compound interest (in ₹)?
10. 10.What is the difference between the compound interest and the simple interest on ₹10800 at 15% per year for 2 years (in ₹)?
11. 11.What is 37²? =
12. 12.What amount will ₹57500 grow to in 2 years at 12% per year compound interest (in ₹)?
13. 13.What is √441? =
14. 14.Solve: 6(y − 1) = 4y + 14. What is y?
15. 15.How many whole numbers lie between 12² and 13²?
16. 16.Write 3.3 × 10⁻³ as a decimal. =
17. 17.A square garden has an area of 25 square m. How long is each side (in m)?
18. 18.What is the difference between the compound interest and the simple interest on ₹60000 at 4% per year for 2 years (in ₹)?
19. 19.Write 8⁴ × 8⁵ as a single power 8ⁿ. What is n?
20. 20.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
21. 21.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
22. 22.A trapezium has an area of 140 square cm. Its parallel sides are 5 cm and 15 cm. What is the distance between them (in cm)?
23. 23.Solve: y/3 + y/4 = 14. What is y?
24. 24.Write 3⁴ × 3⁵ as a single power 3ⁿ. What is n?
25. 25.Find the compound interest on ₹2800 at 25% per year for 2 years, compounded every year (in ₹).
26. 26.A square garden has an area of 1296 square m. How long is each side (in m)?
27. 27.A scooter is worth ₹4400. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
28. 28.The length of a rectangle is 12 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
29. 29.What is √2304? =
30. 30.What amount will ₹59400 grow to in 2 years at 20% per year compound interest (in ₹)?
31. 31.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
32. 32.Use (a + b)² = a² + 2ab + b² to find 61².
33. 33.Use (a + b)(a − b) = a² − b² to find 59 × 41.
34. 34.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
35. 35.What is √3025? =
36. 36.Use (a + b)(a − b) = a² − b² to find 47 × 33.
37. 37.A room is 12 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
38. 38.If a − b = 10 and ab = 24, what is a² + b²?
39. 39.A square garden has an area of 1600 square m. How long is each side (in m)?
40. 40.Write 2.9 × 10⁻¹ as a decimal. =

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