Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 419 · 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 91²? =
2. 2.Solve: 8x + 3 = 4x + 31. What is x?
3. 3.Use a² − b² = (a + b)(a − b) to find 32² − 9².
4. 4.How many whole numbers lie between 32² and 33²?
5. 5.The sum of four consecutive whole numbers is 178. What is the largest of them?
6. 6.Find the compound interest on ₹52600 at 20% per year for 1 year, compounded every year (in ₹).
7. 7.What is the smallest whole number by which 18 must be divided to get a perfect square?
8. 8.Use (a + b)(a − b) = a² − b² to find 95 × 85.
9. 9.7.6 × 10³ =
10. 10.What is 17³? =
11. 11.Use (a − b)² = a² − 2ab + b² to find 18².
12. 12.A scooter is worth ₹22500. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
13. 13.Use a² − b² = (a + b)(a − b) to find 98² − 15².
14. 14.What is √144? =
15. 15.What is the value of 4³? =
16. 16.What is 82²? =
17. 17.Solve: 4(p − 2) = p + 28. What is p?
18. 18.Find the compound interest on ₹8300 at 25% per year for 1 year, compounded every year (in ₹).
19. 19.A room is 3 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
20. 20.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
21. 21.What amount will ₹48000 grow to in 3 years at 15% per year compound interest (in ₹)?
22. 22.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
23. 23.What is √484? =
24. 24.What is the difference between the compound interest and the simple interest on ₹16400 at 25% per year for 2 years (in ₹)?
25. 25.What is the value of (7/8)⁻²? =
26. 26.A trapezium has parallel sides of 30 cm and 24 cm, and the distance between them is 14 cm. What is its area (in square cm)?
27. 27.A trapezium has an area of 273 square cm. Its parallel sides are 27 cm and 15 cm. What is the distance between them (in cm)?
28. 28.What amount will ₹6800 grow to in 2 years at 15% per year compound interest (in ₹)?
29. 29.Find the compound interest on ₹18700 at 20% per year for 1 year, compounded every year (in ₹).
30. 30.What is the value of (7/9)⁻²? =
31. 31.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
32. 32.Use (a − b)² = a² − 2ab + b² to find 24².
33. 33.Solve: 5x + 9 = 2x + 21. What is x?
34. 34.A room is 9 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
35. 35.What is the value of 5⁷? =
36. 36.What is the difference between the compound interest and the simple interest on ₹36800 at 25% per year for 2 years (in ₹)?
37. 37.Solve: t/3 + t/6 = 9. What is t?
38. 38.What is the value of 3⁸? =
39. 39.Write 6.2 × 10⁻² as a decimal. =
40. 40.A room is 12 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?

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