Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 312 · 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.A square garden has an area of 2304 square m. How long is each side (in m)?
2. 2.What is ∛216? =
3. 3.What amount will ₹10100 grow to in 1 year at 8% per year compound interest (in ₹)?
4. 4.What is 16²? =
5. 5.What amount will ₹55200 grow to in 2 years at 15% per year compound interest (in ₹)?
6. 6.Find the compound interest on ₹8100 at 10% per year for 1 year, compounded every year (in ₹).
7. 7.What is the value of 8²? =
8. 8.Use (a + b)² = a² + 2ab + b² to find 13².
9. 9.Use (a + b)(a − b) = a² − b² to find 72 × 68.
10. 10.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
11. 11.Which of these is a perfect square? (a) 307 (b) 289 (c) 308
12. 12.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
13. 13.Write 4,20,00,000 in standard form as 4.2 × 10ⁿ. What is n?
14. 14.What is the value of 10¹ × 10⁻¹? =
15. 15.A cuboid is 15 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
16. 16.Write 500 in standard form as 5 × 10ⁿ. What is n?
17. 17.How many whole numbers lie between 22² and 23²?
18. 18.Use (a − b)² = a² − 2ab + b² to find 27².
19. 19.A scooter is worth ₹6400. Its value falls by 20% every year. What will it be worth after 2 years (in ₹)?
20. 20.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
21. 21.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
22. 22.A room is 5 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
23. 23.Solve: y/6 + y/5 = 66. What is y?
24. 24.The length of a rectangle is 7 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
25. 25.Use (a + b)(a − b) = a² − b² to find 51 × 49.
26. 26.Use a² − b² = (a + b)(a − b) to find 81² − 29².
27. 27.Find the value of x² − 2xy + y² when x = 11 and y = 3.
28. 28.What is the value of 5⁶? =
29. 29.Solve: y/6 + y/4 = 10. What is y?
30. 30.What is the difference between the compound interest and the simple interest on ₹10000 at 12% per year for 2 years (in ₹)?
31. 31.Which of these is a perfect square? (a) 1089 (b) 1104 (c) 1100
32. 32.The diagonals of a rhombus are 22 cm and 18 cm. What is its area (in square cm)?
33. 33.Use (a + b)² = a² + 2ab + b² to find 25².
34. 34.Find the compound interest on ₹36800 at 25% per year for 3 years, compounded every year (in ₹).
35. 35.A trapezium has an area of 21 square cm. Its parallel sides are 5 cm and 16 cm. What is the distance between them (in cm)?
36. 36.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
37. 37.What is the value of 3⁻³ (as a fraction)? =
38. 38.If a + b = 9 and ab = 8, what is a² + b²?
39. 39.Find the compound interest on ₹56000 at 15% per year for 3 years, compounded every year (in ₹).
40. 40.A trapezium has an area of 145 square cm. Its parallel sides are 5 cm and 24 cm. What is the distance between them (in cm)?

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