Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 868 · 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 (3⁵)⁷ as a single power 3ⁿ. What is n?
2. 2.What amount will ₹36300 grow to in 2 years at 10% per year compound interest (in ₹)?
3. 3.A cuboid is 4 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
4. 4.If a − b = 1 and ab = 2, what is a² + b²?
5. 5.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
6. 6.A trapezium has parallel sides of 10 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
7. 7.What is the value of 2⁻¹ (as a fraction)? =
8. 8.Write 3⁷ ÷ 3⁴ as a single power 3ⁿ. What is n?
9. 9.Use a² − b² = (a + b)(a − b) to find 93² − 39².
10. 10.What is 80²? =
11. 11.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
12. 12.What is the value of 5³ × 5⁻⁶? =
13. 13.What is the value of (2/5)⁻²? =
14. 14.What is the value of 10⁶ × 10⁻⁴? =
15. 15.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
16. 16.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
17. 17.Which of these is a perfect square? (a) 219 (b) 196 (c) 211
18. 18.How many whole numbers lie between 46² and 47²?
19. 19.Find the compound interest on ₹45000 at 8% per year for 2 years, compounded every year (in ₹).
20. 20.Write (3⁷)⁸ as a single power 3ⁿ. What is n?
21. 21.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
22. 22.The length of a rectangle is 9 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
23. 23.Use (a + b)² = a² + 2ab + b² to find 83².
24. 24.What is 59²? =
25. 25.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
26. 26.What amount will ₹3700 grow to in 2 years at 20% per year compound interest (in ₹)?
27. 27.Write 5,50,000 in standard form as 5.5 × 10ⁿ. What is n?
28. 28.A trapezium has parallel sides of 13 cm and 21 cm, and the distance between them is 17 cm. What is its area (in square cm)?
29. 29.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
30. 30.What is 3³? =
31. 31.A cuboid is 6 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
32. 32.Write (8⁶)⁴ as a single power 8ⁿ. What is n?
33. 33.Use (a + b)² = a² + 2ab + b² to find 107².
34. 34.What is the difference between the compound interest and the simple interest on ₹60000 at 12% per year for 2 years (in ₹)?
35. 35.What is the difference between the compound interest and the simple interest on ₹32500 at 12% per year for 2 years (in ₹)?
36. 36.Solve: 9y + 9 = 8y + 17. What is y?
37. 37.Solve: p/5 + p/3 = 64. What is p?
38. 38.Which of these is a perfect cube? (a) 1018 (b) 1000 (c) 1277
39. 39.What is the value of 5² × 5⁻⁶? =
40. 40.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?

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