Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 227 · 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 9.6 × 10⁻³ as a decimal. =
2. 2.What is √529? =
3. 3.The sum of two consecutive whole numbers is 35. What is the largest of them?
4. 4.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
5. 5.What amount will ₹36200 grow to in 1 year at 12% per year compound interest (in ₹)?
6. 6.What is the value of 2⁻¹ (as a fraction)? =
7. 7.A scooter is worth ₹57000. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
8. 8.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
9. 9.Use (a − b)² = a² − 2ab + b² to find 61².
10. 10.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
11. 11.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
12. 12.What is the difference between the compound interest and the simple interest on ₹20800 at 10% per year for 2 years (in ₹)?
13. 13.What amount will ₹56800 grow to in 2 years at 25% per year compound interest (in ₹)?
14. 14.What is 91²? =
15. 15.What is ∛13824? =
16. 16.What is the value of 5¹ × 5⁻²? =
17. 17.What is 82²? =
18. 18.A square garden has an area of 49 square m. How long is each side (in m)?
19. 19.Solve: 3(y − 5) = y + 1. What is y?
20. 20.A room is 12 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
21. 21.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
22. 22.A trapezium has an area of 56 square cm. Its parallel sides are 10 cm and 4 cm. What is the distance between them (in cm)?
23. 23.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
24. 24.A room is 10 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
25. 25.Write 9³ × 9⁹ as a single power 9ⁿ. What is n?
26. 26.A scooter is worth ₹48000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
27. 27.Write 8⁴ × 8⁶ as a single power 8ⁿ. What is n?
28. 28.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
29. 29.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
30. 30.Solve: t/6 + t/4 = 40. What is t?
31. 31.What is 36²? =
32. 32.Use (a + b)² = a² + 2ab + b² to find 62².
33. 33.Find the compound interest on ₹2800 at 15% per year for 2 years, compounded every year (in ₹).
34. 34.Use (a + b)(a − b) = a² − b² to find 74 × 66.
35. 35.What amount will ₹36300 grow to in 1 year at 15% per year compound interest (in ₹)?
36. 36.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
37. 37.Write (5⁷)⁶ as a single power 5ⁿ. What is n?
38. 38.Use (a + b)(a − b) = a² − b² to find 52 × 48.
39. 39.If a − b = 4 and ab = 32, what is a² + b²?
40. 40.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?

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