Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 878 · 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 big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
2. 2.Use (a + b)² = a² + 2ab + b² to find 79².
3. 3.What is the value of 2¹⁵? =
4. 4.Write 2² × 2³ as a single power 2ⁿ. What is n?
5. 5.A scooter is worth ₹35200. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
6. 6.What is the value of 7⁴? =
7. 7.Solve: 5m + 6 = 2m + 48. What is m?
8. 8.Solve: 6(n − 3) = 4n + 8. What is n?
9. 9.What is the difference between the compound interest and the simple interest on ₹20000 at 8% per year for 2 years (in ₹)?
10. 10.A square garden has an area of 225 square m. How long is each side (in m)?
11. 11.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
12. 12.Use a² − b² = (a + b)(a − b) to find 92² − 91².
13. 13.A scooter is worth ₹38500. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
14. 14.What is the difference between the compound interest and the simple interest on ₹11200 at 20% per year for 2 years (in ₹)?
15. 15.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
16. 16.What is 12³? =
17. 17.Write 1.5 × 10⁻² as a decimal. =
18. 18.Find the value of x² − y² when x = 12 and y = 10.
19. 19.Use (a − b)² = a² − 2ab + b² to find 77².
20. 20.What is the smallest whole number by which 27 must be multiplied to get a perfect square?
21. 21.A town has 3800 people. The population grows by 20% every year. What will the population be after 1 year?
22. 22.What is the value of (3/7)⁻¹? =
23. 23.A square garden has an area of 1089 square m. How long is each side (in m)?
24. 24.What is ∛27? =
25. 25.What is the value of 2⁵ × 2⁻²? =
26. 26.What is 16³? =
27. 27.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
28. 28.Write 34,000 in standard form as 3.4 × 10ⁿ. What is n?
29. 29.What is the difference between the compound interest and the simple interest on ₹49600 at 25% per year for 2 years (in ₹)?
30. 30.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
31. 31.9.8 × 10⁶ =
32. 32.What amount will ₹46600 grow to in 1 year at 10% per year compound interest (in ₹)?
33. 33.What is the difference between the compound interest and the simple interest on ₹54800 at 5% per year for 2 years (in ₹)?
34. 34.Solve: 6p + 10 = p + 30. What is p?
35. 35.A trapezium has an area of 135 square cm. Its parallel sides are 13 cm and 5 cm. What is the distance between them (in cm)?
36. 36.Solve: 9n + 17 = n + 129. What is n?
37. 37.Which of these is a perfect cube? (a) 100 (b) 64 (c) 68
38. 38.Solve: x/3 + x/5 = 40. What is x?
39. 39.A square garden has an area of 3600 square m. How long is each side (in m)?
40. 40.What amount will ₹22000 grow to in 1 year at 8% per year compound interest (in ₹)?

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