Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 486 · 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 (a + b)(a − b) = a² − b² to find 31 × 29.
2. 2.What is ∛9261? =
3. 3.What amount will ₹16000 grow to in 3 years at 15% per year compound interest (in ₹)?
4. 4.Use a² − b² = (a + b)(a − b) to find 41² − 32².
5. 5.What amount will ₹9600 grow to in 2 years at 25% per year compound interest (in ₹)?
6. 6.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
7. 7.A trapezium has parallel sides of 25 cm and 9 cm, and the distance between them is 7 cm. What is its area (in square cm)?
8. 8.A cuboid is 9 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
9. 9.What is the value of 2⁻⁵ (as a fraction)? =
10. 10.What is ∛216? =
11. 11.What is the difference between the compound interest and the simple interest on ₹22500 at 8% per year for 2 years (in ₹)?
12. 12.How many whole numbers lie between 11² and 12²?
13. 13.A cuboid is 4 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
14. 14.What is the value of (1/8)⁻¹? =
15. 15.Which of these is a perfect square? (a) 1400 (b) 1369 (c) 1398
16. 16.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
17. 17.1.3 × 10⁶ =
18. 18.What amount will ₹54000 grow to in 2 years at 25% per year compound interest (in ₹)?
19. 19.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
20. 20.Solve: x/5 + x/4 = 54. What is x?
21. 21.What is the smallest whole number by which 160 must be divided to get a perfect square?
22. 22.If a + b = 9 and ab = 18, what is a² + b²?
23. 23.What amount will ₹7500 grow to in 2 years at 4% per year compound interest (in ₹)?
24. 24.Use a² − b² = (a + b)(a − b) to find 76² − 31².
25. 25.Which of these is a perfect cube? (a) 821 (b) 918 (c) 729
26. 26.Solve: y/6 + y/3 = 15. What is y?
27. 27.Use (a + b)(a − b) = a² − b² to find 72 × 68.
28. 28.A room is 11 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
29. 29.What amount will ₹10000 grow to in 1 year at 20% per year compound interest (in ₹)?
30. 30.A scooter is worth ₹29600. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
31. 31.7.1 × 10⁷ =
32. 32.What is the difference between the compound interest and the simple interest on ₹34400 at 25% per year for 2 years (in ₹)?
33. 33.What is the value of 3⁵ × 3⁻¹? =
34. 34.Find the compound interest on ₹37900 at 25% per year for 1 year, compounded every year (in ₹).
35. 35.What is the value of 2¹ × 2⁻⁵? =
36. 36.What is the difference between the compound interest and the simple interest on ₹57200 at 15% per year for 2 years (in ₹)?
37. 37.Which of these is a perfect cube? (a) 324 (b) 216 (c) 242
38. 38.Use (a + b)(a − b) = a² − b² to find 43 × 37.
39. 39.Find the compound interest on ₹26400 at 25% per year for 2 years, compounded every year (in ₹).
40. 40.What is the smallest whole number by which 540 must be multiplied to get a perfect square?

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