Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 821 · 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.Solve: 5(t − 2) = 2t + 38. What is t?
2. 2.Solve: 9y + 2 = 2y + 79. What is y?
3. 3.Which of these is a perfect cube? (a) 31 (b) 27 (c) 44
4. 4.Use (a + b)(a − b) = a² − b² to find 31 × 29.
5. 5.The length of a rectangle is 14 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
6. 6.Write 8.5 × 10⁻¹ as a decimal. =
7. 7.A trapezium has an area of 352 square cm. Its parallel sides are 19 cm and 25 cm. What is the distance between them (in cm)?
8. 8.What is the value of 8⁻¹ (as a fraction)? =
9. 9.What is the value of 10⁴ × 10⁻⁵? =
10. 10.Find the value of x² − y² when x = 10 and y = 3.
11. 11.Find the compound interest on ₹25100 at 10% per year for 2 years, compounded every year (in ₹).
12. 12.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
13. 13.What is 32²? =
14. 14.A room is 11 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
15. 15.What is 13³? =
16. 16.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
17. 17.What is the value of 7⁴? =
18. 18.The length of a rectangle is 11 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
19. 19.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
20. 20.What is the value of 2¹⁶? =
21. 21.Find the compound interest on ₹48000 at 5% per year for 3 years, compounded every year (in ₹).
22. 22.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
23. 23.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
24. 24.The length of a rectangle is 6 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
25. 25.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
26. 26.Solve: 5(m − 2) = 3m + 26. What is m?
27. 27.Solve: y/6 + y/2 = 12. What is y?
28. 28.The diagonals of a rhombus are 10 cm and 13 cm. What is its area (in square cm)?
29. 29.What is √144? =
30. 30.Find the value of x² − y² when x = 8 and y = 5.
31. 31.What is the value of 3⁷? =
32. 32.Write 3⁴ × 3⁴ as a single power 3ⁿ. What is n?
33. 33.Use a² − b² = (a + b)(a − b) to find 29² − 1².
34. 34.A father is 30 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?
35. 35.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
36. 36.Write 7.9 × 10⁻¹ as a decimal. =
37. 37.Find the compound interest on ₹21600 at 15% per year for 1 year, compounded every year (in ₹).
38. 38.5.5 × 10⁷ =
39. 39.What is the value of 4²? =
40. 40.A town has 16000 people. The population grows by 15% every year. What will the population be after 3 years?

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