Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 190 · 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 38 × 22.
2. 2.Write (9⁵)² as a single power 9ⁿ. What is n?
3. 3.How many whole numbers lie between 14² and 15²?
4. 4.Find the value of x² + 2xy + y² when x = 7 and y = 2.
5. 5.Find the compound interest on ₹37300 at 15% per year for 1 year, compounded every year (in ₹).
6. 6.Use (a + b)² = a² + 2ab + b² to find 29².
7. 7.Use (a + b)² = a² + 2ab + b² to find 76².
8. 8.What is the value of 5⁵? =
9. 9.What is the value of 5¹ × 5⁻⁵? =
10. 10.Use (a − b)² = a² − 2ab + b² to find 36².
11. 11.Which of these is a perfect cube? (a) 2993 (b) 2744 (c) 3303
12. 12.A trapezium has an area of 232 square cm. Its parallel sides are 25 cm and 4 cm. What is the distance between them (in cm)?
13. 13.Find the value of x² − y² when x = 13 and y = 8.
14. 14.What is the value of 9⁻¹ (as a fraction)? =
15. 15.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
16. 16.A father is 21 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
17. 17.Which of these is a perfect cube? (a) 3375 (b) 3525 (c) 3650
18. 18.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
19. 19.A town has 19000 people. The population grows by 10% every year. What will the population be after 3 years?
20. 20.Which of these is a perfect square? (a) 314 (b) 304 (c) 289
21. 21.What is 15³? =
22. 22.What is the value of 3⁵? =
23. 23.If a + b = 10 and ab = 21, what is a² + b²?
24. 24.A father is 9 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
25. 25.What is the difference between the compound interest and the simple interest on ₹40000 at 20% per year for 2 years (in ₹)?
26. 26.If a + b = 5 and ab = 4, what is a² + b²?
27. 27.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
28. 28.A scooter is worth ₹24000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
29. 29.What is 98²? =
30. 30.The length of a rectangle is 13 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
31. 31.What amount will ₹26000 grow to in 1 year at 12% per year compound interest (in ₹)?
32. 32.What is 70²? =
33. 33.What is ∛8? =
34. 34.The sum of two consecutive whole numbers is 43. What is the largest of them?
35. 35.What is the value of 6³? =
36. 36.A town has 56000 people. The population grows by 5% every year. What will the population be after 3 years?
37. 37.Write 6.8 × 10⁻² as a decimal. =
38. 38.Which of these is a perfect square? (a) 466 (b) 443 (c) 441
39. 39.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
40. 40.Solve: y/4 + y/2 = 21. What is y?

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