Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 74 · 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.Write 6.5 × 10⁻² as a decimal. =
2. 2.A father is 39 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
3. 3.What is √9409? =
4. 4.Write 7⁸ × 7² as a single power 7ⁿ. What is n?
5. 5.What is ∛64? =
6. 6.What is the value of (1/8)⁻¹? =
7. 7.A square garden has an area of 196 square m. How long is each side (in m)?
8. 8.What is 4³? =
9. 9.Solve: 4p + 3 = 3p + 5. What is p?
10. 10.4.3 × 10⁴ =
11. 11.What is the value of (5/8)⁻¹? =
12. 12.A trapezium has parallel sides of 12 cm and 5 cm, and the distance between them is 2 cm. What is its area (in square cm)?
13. 13.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
14. 14.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
15. 15.A trapezium has an area of 15 square cm. Its parallel sides are 8 cm and 7 cm. What is the distance between them (in cm)?
16. 16.What is the value of (4/9)⁻²? =
17. 17.Write 7² × 7⁷ as a single power 7ⁿ. What is n?
18. 18.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
19. 19.What is the difference between the compound interest and the simple interest on ₹23200 at 5% per year for 2 years (in ₹)?
20. 20.Use (a − b)² = a² − 2ab + b² to find 67².
21. 21.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
22. 22.How many whole numbers lie between 20² and 21²?
23. 23.What amount will ₹24300 grow to in 1 year at 12% per year compound interest (in ₹)?
24. 24.A square garden has an area of 2704 square m. How long is each side (in m)?
25. 25.What is √576? =
26. 26.Solve: 6p + 11 = 4p + 23. What is p?
27. 27.Solve: 3(p − 3) = p + 7. What is p?
28. 28.Which of these is a perfect cube? (a) 848 (b) 776 (c) 729
29. 29.Find the compound interest on ₹12400 at 5% per year for 2 years, compounded every year (in ₹).
30. 30.Which of these is a perfect square? (a) 790 (b) 808 (c) 784
31. 31.What is 39²? =
32. 32.Use a² − b² = (a + b)(a − b) to find 28² − 6².
33. 33.Use (a + b)(a − b) = a² − b² to find 51 × 49.
34. 34.Write (6²)² as a single power 6ⁿ. What is n?
35. 35.Find the compound interest on ₹3800 at 5% per year for 1 year, compounded every year (in ₹).
36. 36.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
37. 37.How many whole numbers lie between 29² and 30²?
38. 38.What is 30²? =
39. 39.Write 7,00,000 in standard form as 7 × 10ⁿ. What is n?
40. 40.What is the value of 3⁶ × 3⁻¹? =

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