Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 495 · 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.What is 16³? =
2. 2.Use (a − b)² = a² − 2ab + b² to find 55².
3. 3.Which of these is a perfect square? (a) 729 (b) 776 (c) 732
4. 4.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
5. 5.Solve: 4n + 8 = 3n + 12. What is n?
6. 6.What amount will ₹15700 grow to in 1 year at 10% per year compound interest (in ₹)?
7. 7.Write 9,500 in standard form as 9.5 × 10ⁿ. What is n?
8. 8.A trapezium has an area of 110 square cm. Its parallel sides are 27 cm and 28 cm. What is the distance between them (in cm)?
9. 9.Write 60,000 in standard form as 6 × 10ⁿ. What is n?
10. 10.Which of these is a perfect cube? (a) 40 (b) 27 (c) 37
11. 11.What is 64²? =
12. 12.Which of these is a perfect cube? (a) 247 (b) 228 (c) 216
13. 13.Write 9.5 × 10⁻² as a decimal. =
14. 14.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
15. 15.Which of these is a perfect square? (a) 1444 (b) 1475 (c) 1500
16. 16.Solve: 4(y − 2) = 3y + 11. What is y?
17. 17.What is the value of 2⁻⁸ (as a fraction)? =
18. 18.A room is 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
19. 19.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
20. 20.What amount will ₹2500 grow to in 2 years at 12% per year compound interest (in ₹)?
21. 21.What is 98²? =
22. 22.A town has 57400 people. The population grows by 5% every year. What will the population be after 1 year?
23. 23.Use (a + b)² = a² + 2ab + b² to find 36².
24. 24.If a + b = 5 and ab = 6, what is a² + b²?
25. 25.What is the difference between the compound interest and the simple interest on ₹23600 at 5% per year for 2 years (in ₹)?
26. 26.Write 8.4 × 10⁻² as a decimal. =
27. 27.A trapezium has parallel sides of 25 cm and 23 cm, and the distance between them is 15 cm. What is its area (in square cm)?
28. 28.Use (a − b)² = a² − 2ab + b² to find 76².
29. 29.A trapezium has parallel sides of 21 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
30. 30.Write 260 in standard form as 2.6 × 10ⁿ. What is n?
31. 31.Find the value of x² − y² when x = 10 and y = 8.
32. 32.What is the difference between the compound interest and the simple interest on ₹57600 at 15% per year for 2 years (in ₹)?
33. 33.A trapezium has parallel sides of 16 cm and 13 cm, and the distance between them is 16 cm. What is its area (in square cm)?
34. 34.What is 48²? =
35. 35.A town has 20100 people. The population grows by 8% every year. What will the population be after 1 year?
36. 36.Find the compound interest on ₹33700 at 12% per year for 1 year, compounded every year (in ₹).
37. 37.A cuboid is 6 cm long, 8 cm wide and 5 cm high. What is its total surface area (in square cm)?
38. 38.What is the value of 3⁷? =
39. 39.A cuboid is 6 cm long, 10 cm wide and 7 cm high. What is its total surface area (in square cm)?
40. 40.Use (a − b)² = a² − 2ab + b² to find 58².

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