Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 440 · 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 the difference between the compound interest and the simple interest on ₹40800 at 25% per year for 2 years (in ₹)?
2. 2.Use (a − b)² = a² − 2ab + b² to find 61².
3. 3.The sum of four consecutive whole numbers is 222. What is the largest of them?
4. 4.What is the value of 3² × 3⁻⁵? =
5. 5.Write 2,40,000 in standard form as 2.4 × 10ⁿ. What is n?
6. 6.Find the value of x² + 2xy + y² when x = 7 and y = 4.
7. 7.What amount will ₹47600 grow to in 2 years at 5% per year compound interest (in ₹)?
8. 8.Which of these is a perfect cube? (a) 49 (b) 27 (c) 54
9. 9.A room is 8 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
10. 10.Find the compound interest on ₹15600 at 15% per year for 2 years, compounded every year (in ₹).
11. 11.Solve: 4(m − 3) = 2m + 26. What is m?
12. 12.If a + b = 12 and ab = 32, what is a² + b²?
13. 13.Find the compound interest on ₹22000 at 5% per year for 2 years, compounded every year (in ₹).
14. 14.Use (a − b)² = a² − 2ab + b² to find 29².
15. 15.What amount will ₹15500 grow to in 3 years at 20% per year compound interest (in ₹)?
16. 16.What is √3364? =
17. 17.Which of these is a perfect square? (a) 770 (b) 752 (c) 729
18. 18.A scooter is worth ₹16000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
19. 19.A father is 13 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
20. 20.A father is 24 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
21. 21.What is the value of 2¹³? =
22. 22.Use a² − b² = (a + b)(a − b) to find 63² − 4².
23. 23.A scooter is worth ₹17100. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
24. 24.The sum of two consecutive whole numbers is 67. What is the smallest of them?
25. 25.Which of these is a perfect cube? (a) 1728 (b) 1930 (c) 1894
26. 26.Use a² − b² = (a + b)(a − b) to find 99² − 45².
27. 27.Use a² − b² = (a + b)(a − b) to find 72² − 25².
28. 28.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
29. 29.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
30. 30.What is ∛15625? =
31. 31.What is √1936? =
32. 32.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
33. 33.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
34. 34.A room is 9 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
35. 35.Find the compound interest on ₹16900 at 10% per year for 2 years, compounded every year (in ₹).
36. 36.Solve: 3m + 4 = 2m + 12. What is m?
37. 37.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
38. 38.The length of a rectangle is 12 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
39. 39.A scooter is worth ₹12500. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
40. 40.Which of these is a perfect cube? (a) 1331 (b) 1476 (c) 1481

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