Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 577 · 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 (9²)⁸ as a single power 9ⁿ. What is n?
2. 2.Find the compound interest on ₹6000 at 10% per year for 3 years, compounded every year (in ₹).
3. 3.7.6 × 10³ =
4. 4.Which of these is a perfect cube? (a) 2821 (b) 2744 (c) 3212
5. 5.What is the difference between the compound interest and the simple interest on ₹57500 at 4% per year for 2 years (in ₹)?
6. 6.Write 6¹³ ÷ 6⁷ as a single power 6ⁿ. What is n?
7. 7.The length of a rectangle is 2 cm more than its width. Its perimeter is 16 cm. What is its width (in cm)?
8. 8.A trapezium has parallel sides of 11 cm and 17 cm, and the distance between them is 9 cm. What is its area (in square cm)?
9. 9.What amount will ₹59000 grow to in 1 year at 15% per year compound interest (in ₹)?
10. 10.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
11. 11.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
12. 12.A scooter is worth ₹44700. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
13. 13.If a − b = 7 and ab = 44, what is a² + b²?
14. 14.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
15. 15.A trapezium has an area of 46 square cm. Its parallel sides are 7 cm and 16 cm. What is the distance between them (in cm)?
16. 16.What is the difference between the compound interest and the simple interest on ₹12500 at 8% per year for 2 years (in ₹)?
17. 17.What is the value of 2¹⁰? =
18. 18.Which of these is a perfect cube? (a) 399 (b) 343 (c) 414
19. 19.What is the value of 10⁴? =
20. 20.A scooter is worth ₹9600. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
21. 21.What is ∛10648? =
22. 22.Write 8.5 × 10⁻³ as a decimal. =
23. 23.The sum of two consecutive whole numbers is 11. What is the smallest of them?
24. 24.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
25. 25.Solve: 5n + 4 = 4n + 6. What is n?
26. 26.A trapezium has parallel sides of 7 cm and 5 cm, and the distance between them is 6 cm. What is its area (in square cm)?
27. 27.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
28. 28.Use (a + b)² = a² + 2ab + b² to find 39².
29. 29.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
30. 30.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
31. 31.What is 58²? =
32. 32.A scooter is worth ₹58000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
33. 33.A square garden has an area of 36 square m. How long is each side (in m)?
34. 34.What is the value of 7⁴? =
35. 35.What is the difference between the compound interest and the simple interest on ₹18000 at 5% per year for 2 years (in ₹)?
36. 36.Find the compound interest on ₹8500 at 20% per year for 2 years, compounded every year (in ₹).
37. 37.Use (a + b)² = a² + 2ab + b² to find 54².
38. 38.Which of these is a perfect square? (a) 736 (b) 779 (c) 729
39. 39.Use a² − b² = (a + b)(a − b) to find 38² − 31².
40. 40.How many whole numbers lie between 35² and 36²?

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