Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 818 · 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.Use a² − b² = (a + b)(a − b) to find 34² − 13².
2. 2.What is 19³? =
3. 3.What is the value of 6³? =
4. 4.What is the difference between the compound interest and the simple interest on ₹36000 at 5% per year for 2 years (in ₹)?
5. 5.A scooter is worth ₹32000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
6. 6.What amount will ₹4500 grow to in 1 year at 15% per year compound interest (in ₹)?
7. 7.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
8. 8.Find the value of x² − y² when x = 5 and y = 2.
9. 9.Solve: 7n + 6 = 2n + 16. What is n?
10. 10.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
11. 11.Solve: 5(x − 2) = x + 50. What is x?
12. 12.Find the compound interest on ₹13300 at 10% per year for 1 year, compounded every year (in ₹).
13. 13.Write 31,00,000 in standard form as 3.1 × 10ⁿ. What is n?
14. 14.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
15. 15.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
16. 16.The length of a rectangle is 12 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
17. 17.Which of these is a perfect cube? (a) 432 (b) 343 (c) 449
18. 18.A cuboid is 15 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
19. 19.What is the smallest whole number by which 448 must be divided to get a perfect square?
20. 20.Use (a + b)(a − b) = a² − b² to find 94 × 86.
21. 21.Write 6.6 × 10⁻¹ as a decimal. =
22. 22.Write 2.1 × 10⁻⁴ as a decimal. =
23. 23.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
24. 24.Use (a + b)(a − b) = a² − b² to find 106 × 94.
25. 25.The length of a rectangle is 10 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
26. 26.What is the difference between the compound interest and the simple interest on ₹17300 at 20% per year for 2 years (in ₹)?
27. 27.A cuboid is 15 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
28. 28.What is 8³? =
29. 29.A cuboid is 7 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
30. 30.A scooter is worth ₹30000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
31. 31.Find the value of x² + 2xy + y² when x = 3 and y = 1.
32. 32.How many whole numbers lie between 13² and 14²?
33. 33.What is the difference between the compound interest and the simple interest on ₹6400 at 20% per year for 2 years (in ₹)?
34. 34.Write 4¹² ÷ 4⁶ as a single power 4ⁿ. What is n?
35. 35.Find the compound interest on ₹32500 at 4% per year for 2 years, compounded every year (in ₹).
36. 36.A square garden has an area of 729 square m. How long is each side (in m)?
37. 37.Find the value of x² − y² when x = 12 and y = 9.
38. 38.If a + b = 4 and ab = 3, what is a² + b²?
39. 39.What is the value of 2⁷? =
40. 40.Use (a − b)² = a² − 2ab + b² to find 45².

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