Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 324 · 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.A father is 15 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?
2. 2.What is the value of 5¹ × 5⁻⁵? =
3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
4. 4.Write 55,000 in standard form as 5.5 × 10ⁿ. What is n?
5. 5.What is 25²? =
6. 6.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
7. 7.What is the value of 6⁴? =
8. 8.Use (a + b)(a − b) = a² − b² to find 43 × 37.
9. 9.Use (a − b)² = a² − 2ab + b² to find 44².
10. 10.Find the value of x² + 2xy + y² when x = 15 and y = 10.
11. 11.What is the value of 3⁴? =
12. 12.What is √1936? =
13. 13.Solve: 4(m − 2) = 3m + 12. What is m?
14. 14.Find the value of x² − 2xy + y² when x = 3 and y = 2.
15. 15.9.3 × 10⁷ =
16. 16.Use (a − b)² = a² − 2ab + b² to find 49².
17. 17.What is the value of 5² × 5⁻⁵? =
18. 18.What is ∛2197? =
19. 19.What is the value of (2/7)⁻²? =
20. 20.What amount will ₹51600 grow to in 2 years at 15% per year compound interest (in ₹)?
21. 21.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
22. 22.A town has 37500 people. The population grows by 12% every year. What will the population be after 2 years?
23. 23.What is ∛216? =
24. 24.Find the compound interest on ₹52500 at 4% per year for 2 years, compounded every year (in ₹).
25. 25.If a + b = 5 and ab = 4, what is a² + b²?
26. 26.Solve: 3(t − 4) = 2t + 9. What is t?
27. 27.What is 12³? =
28. 28.What is the value of 2⁶? =
29. 29.Which of these is a perfect cube? (a) 87 (b) 64 (c) 78
30. 30.A trapezium has an area of 225 square cm. Its parallel sides are 23 cm and 22 cm. What is the distance between them (in cm)?
31. 31.What is 13²? =
32. 32.Solve: 4n + 15 = 2n + 21. What is n?
33. 33.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
34. 34.The sum of two consecutive whole numbers is 113. What is the largest of them?
35. 35.What is 24²? =
36. 36.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
37. 37.What is the value of 6⁻¹ (as a fraction)? =
38. 38.What is the smallest whole number by which 18 must be divided to get a perfect square?
39. 39.Which of these is a perfect cube? (a) 141 (b) 126 (c) 125
40. 40.Use (a + b)² = a² + 2ab + b² to find 86².

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