Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 740 · 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.What is the value of 8⁴? =
2. 2.Which of these is a perfect square? (a) 1357 (b) 1325 (c) 1296
3. 3.Write 6⁶ × 6⁶ as a single power 6ⁿ. What is n?
4. 4.Use (a + b)(a − b) = a² − b² to find 21 × 19.
5. 5.Use (a + b)² = a² + 2ab + b² to find 21².
6. 6.What is the smallest whole number by which 135 must be multiplied to get a perfect square?
7. 7.Use a² − b² = (a + b)(a − b) to find 80² − 68².
8. 8.What is 13²? =
9. 9.A cuboid is 12 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
10. 10.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
11. 11.Find the compound interest on ₹18000 at 15% per year for 2 years, compounded every year (in ₹).
12. 12.A cuboid is 8 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
13. 13.Find the compound interest on ₹16000 at 15% per year for 3 years, compounded every year (in ₹).
14. 14.What is the value of 5³? =
15. 15.What is the value of 5⁻² (as a fraction)? =
16. 16.A trapezium has an area of 357 square cm. Its parallel sides are 18 cm and 24 cm. What is the distance between them (in cm)?
17. 17.Use (a + b)² = a² + 2ab + b² to find 42².
18. 18.What is the difference between the compound interest and the simple interest on ₹39700 at 20% per year for 2 years (in ₹)?
19. 19.Find the compound interest on ₹15000 at 8% per year for 2 years, compounded every year (in ₹).
20. 20.Solve: y/6 + y/2 = 16. What is y?
21. 21.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)?
22. 22.What is 8³? =
23. 23.Which of these is a perfect square? (a) 841 (b) 879 (c) 845
24. 24.A trapezium has an area of 38 square cm. Its parallel sides are 9 cm and 10 cm. What is the distance between them (in cm)?
25. 25.A trapezium has parallel sides of 18 cm and 16 cm, and the distance between them is 4 cm. What is its area (in square cm)?
26. 26.The length of a rectangle is 8 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
27. 27.If a + b = 12 and ab = 27, what is a² + b²?
28. 28.Find the compound interest on ₹41800 at 15% per year for 1 year, compounded every year (in ₹).
29. 29.Write 7.2 × 10⁻⁴ as a decimal. =
30. 30.A town has 37600 people. The population grows by 5% every year. What will the population be after 2 years?
31. 31.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
32. 32.If a − b = 6 and ab = 7, what is a² + b²?
33. 33.Use (a + b)² = a² + 2ab + b² to find 99².
34. 34.What is the smallest whole number by which 350 must be multiplied to get a perfect square?
35. 35.Use a² − b² = (a + b)(a − b) to find 77² − 44².
36. 36.Solve: 3(m − 4) = 2m + 13. What is m?
37. 37.Solve: 5(n − 5) = n + 35. What is n?
38. 38.The sum of four consecutive whole numbers is 178. What is the largest of them?
39. 39.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
40. 40.If a + b = 6 and ab = 8, what is a² + b²?

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