Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 836 · 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.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
2. 2.Write (6⁴)² as a single power 6ⁿ. What is n?
3. 3.A trapezium has parallel sides of 22 cm and 20 cm, and the distance between them is 11 cm. What is its area (in square cm)?
4. 4.What is the value of 2⁻⁹ (as a fraction)? =
5. 5.Use a² − b² = (a + b)(a − b) to find 89² − 41².
6. 6.Use (a + b)(a − b) = a² − b² to find 52 × 48.
7. 7.What amount will ₹27500 grow to in 2 years at 12% per year compound interest (in ₹)?
8. 8.Use (a + b)(a − b) = a² − b² to find 32 × 28.
9. 9.Write 5.2 × 10⁻⁴ as a decimal. =
10. 10.What is 3³? =
11. 11.How many whole numbers lie between 20² and 21²?
12. 12.What is 56²? =
13. 13.Write 91,00,000 in standard form as 9.1 × 10ⁿ. What is n?
14. 14.Write 6.1 × 10⁻² as a decimal. =
15. 15.Which of these is a perfect cube? (a) 870 (b) 845 (c) 729
16. 16.A father is 18 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?
17. 17.What is the value of 2⁻⁷ (as a fraction)? =
18. 18.Use (a + b)² = a² + 2ab + b² to find 77².
19. 19.What is ∛3375? =
20. 20.A square garden has an area of 2916 square m. How long is each side (in m)?
21. 21.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
22. 22.What is the value of 2³? =
23. 23.Which of these is a perfect cube? (a) 1468 (b) 1519 (c) 1331
24. 24.A cuboid is 6 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
25. 25.Use (a + b)(a − b) = a² − b² to find 43 × 37.
26. 26.A cuboid is 8 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
27. 27.Use (a + b)² = a² + 2ab + b² to find 21².
28. 28.What amount will ₹25800 grow to in 1 year at 25% per year compound interest (in ₹)?
29. 29.A cuboid is 8 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
30. 30.Use (a + b)² = a² + 2ab + b² to find 65².
31. 31.A scooter is worth ₹43200. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
32. 32.A square garden has an area of 1296 square m. How long is each side (in m)?
33. 33.A trapezium has an area of 99 square cm. Its parallel sides are 15 cm and 7 cm. What is the distance between them (in cm)?
34. 34.What amount will ₹54400 grow to in 3 years at 25% per year compound interest (in ₹)?
35. 35.Use (a + b)(a − b) = a² − b² to find 72 × 68.
36. 36.Which of these is a perfect cube? (a) 1840 (b) 1728 (c) 1951
37. 37.How many whole numbers lie between 44² and 45²?
38. 38.A square garden has an area of 2401 square m. How long is each side (in m)?
39. 39.What is √289? =
40. 40.What is the smallest whole number by which 10584 must be divided to get a perfect cube?

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