Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 525 · 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.What is the value of 4⁻⁴ (as a fraction)? =
2. 2.What is the value of 2⁻⁴ (as a fraction)? =
3. 3.A trapezium has parallel sides of 29 cm and 8 cm, and the distance between them is 4 cm. What is its area (in square cm)?
4. 4.Find the compound interest on ₹34000 at 10% per year for 2 years, compounded every year (in ₹).
5. 5.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
6. 6.Write 5⁴ × 5³ as a single power 5ⁿ. What is n?
7. 7.Find the value of x² − y² when x = 11 and y = 2.
8. 8.What is the value of (3/5)⁻¹? =
9. 9.Solve: m/5 + m/4 = 36. What is m?
10. 10.Write 6,00,000 in standard form as 6 × 10ⁿ. What is n?
11. 11.A scooter is worth ₹8000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
12. 12.A father is 20 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
13. 13.Use a² − b² = (a + b)(a − b) to find 23² − 20².
14. 14.A father is 11 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
15. 15.The sum of two consecutive whole numbers is 77. What is the largest of them?
16. 16.A square garden has an area of 2601 square m. How long is each side (in m)?
17. 17.Use (a + b)² = a² + 2ab + b² to find 22².
18. 18.What is ∛13824? =
19. 19.Write 8¹⁰ ÷ 8⁵ as a single power 8ⁿ. What is n?
20. 20.The length of a rectangle is 4 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
21. 21.What is the smallest whole number by which 20 must be divided to get a perfect square?
22. 22.What is √2601? =
23. 23.Use (a + b)² = a² + 2ab + b² to find 71².
24. 24.A father is 40 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
25. 25.Solve: 3m + 10 = 2m + 17. What is m?
26. 26.Find the compound interest on ₹14700 at 20% per year for 2 years, compounded every year (in ₹).
27. 27.A trapezium has parallel sides of 30 cm and 7 cm, and the distance between them is 14 cm. What is its area (in square cm)?
28. 28.A trapezium has parallel sides of 19 cm and 22 cm, and the distance between them is 6 cm. What is its area (in square cm)?
29. 29.The diagonals of a rhombus are 6 cm and 6 cm. What is its area (in square cm)?
30. 30.Which of these is a perfect square? (a) 729 (b) 745 (c) 777
31. 31.Find the value of x² − 2xy + y² when x = 5 and y = 1.
32. 32.What is 19³? =
33. 33.Write 1.5 × 10⁻¹ as a decimal. =
34. 34.Solve: 3m + 19 = m + 21. What is m?
35. 35.Solve: 4(y − 5) = 3y + 12. What is y?
36. 36.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
37. 37.A scooter is worth ₹43000. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
38. 38.Use (a + b)(a − b) = a² − b² to find 65 × 55.
39. 39.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
40. 40.What is the value of 4²? =

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