Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 545 · 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)(a − b) = a² − b² to find 41 × 39.
2. 2.Write 3.6 × 10⁻¹ as a decimal. =
3. 3.Which of these is a perfect square? (a) 1600 (b) 1630 (c) 1607
4. 4.Use (a − b)² = a² − 2ab + b² to find 99².
5. 5.What is 15³? =
6. 6.Find the compound interest on ₹16000 at 10% per year for 2 years, compounded every year (in ₹).
7. 7.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
8. 8.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
9. 9.What is the difference between the compound interest and the simple interest on ₹2500 at 12% per year for 2 years (in ₹)?
10. 10.Write 5.6 × 10⁻¹ as a decimal. =
11. 11.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
12. 12.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
13. 13.Write 5⁹ × 5² as a single power 5ⁿ. What is n?
14. 14.Find the compound interest on ₹13000 at 10% per year for 2 years, compounded every year (in ₹).
15. 15.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
16. 16.Write (6⁸)⁶ as a single power 6ⁿ. What is n?
17. 17.What amount will ₹22000 grow to in 1 year at 4% per year compound interest (in ₹)?
18. 18.A square garden has an area of 1764 square m. How long is each side (in m)?
19. 19.What is 8³? =
20. 20.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
21. 21.What is the value of 5⁶? =
22. 22.What is the value of 2²? =
23. 23.What is ∛1331? =
24. 24.Use (a − b)² = a² − 2ab + b² to find 95².
25. 25.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
26. 26.What is the difference between the compound interest and the simple interest on ₹7500 at 8% per year for 2 years (in ₹)?
27. 27.Find the compound interest on ₹23600 at 25% per year for 2 years, compounded every year (in ₹).
28. 28.What is 53²? =
29. 29.Use (a − b)² = a² − 2ab + b² to find 31².
30. 30.What is 16²? =
31. 31.Use a² − b² = (a + b)(a − b) to find 88² − 70².
32. 32.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
33. 33.What is 19³? =
34. 34.A trapezium has parallel sides of 25 cm and 26 cm, and the distance between them is 10 cm. What is its area (in square cm)?
35. 35.The length of a rectangle is 13 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
36. 36.7.9 × 10³ =
37. 37.Find the compound interest on ₹39500 at 20% per year for 3 years, compounded every year (in ₹).
38. 38.Solve: n/5 + n/4 = 63. What is n?
39. 39.What is the value of 2¹³? =
40. 40.A scooter is worth ₹43200. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?

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