Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 269 · 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.Solve: 6(n − 3) = 2n + 34. What is n?
2. 2.What is √8100? =
3. 3.What is ∛512? =
4. 4.What is 25²? =
5. 5.How many whole numbers lie between 40² and 41²?
6. 6.A square garden has an area of 961 square m. How long is each side (in m)?
7. 7.What is √9409? =
8. 8.A town has 28000 people. The population grows by 25% every year. What will the population be after 1 year?
9. 9.Use (a − b)² = a² − 2ab + b² to find 41².
10. 10.The diagonals of a rhombus are 24 cm and 18 cm. What is its area (in square cm)?
11. 11.A square garden has an area of 1024 square m. How long is each side (in m)?
12. 12.What amount will ₹48200 grow to in 1 year at 20% per year compound interest (in ₹)?
13. 13.What is the difference between the compound interest and the simple interest on ₹15700 at 10% per year for 2 years (in ₹)?
14. 14.Use a² − b² = (a + b)(a − b) to find 62² − 43².
15. 15.Use (a + b)(a − b) = a² − b² to find 45 × 35.
16. 16.A father is 24 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
17. 17.Solve: 6(x − 5) = 3x + 9. What is x?
18. 18.A trapezium has parallel sides of 5 cm and 21 cm, and the distance between them is 7 cm. What is its area (in square cm)?
19. 19.Solve: 5(p − 4) = 3p + 6. What is p?
20. 20.Use (a + b)(a − b) = a² − b² to find 53 × 47.
21. 21.Use (a + b)² = a² + 2ab + b² to find 35².
22. 22.Use a² − b² = (a + b)(a − b) to find 41² − 20².
23. 23.Find the value of x² − 2xy + y² when x = 9 and y = 6.
24. 24.What is the value of 9²? =
25. 25.Use (a + b)² = a² + 2ab + b² to find 18².
26. 26.Write 6.2 × 10⁻³ as a decimal. =
27. 27.Solve: 3(y − 1) = y + 17. What is y?
28. 28.Find the compound interest on ₹14000 at 20% per year for 3 years, compounded every year (in ₹).
29. 29.Write (2⁴)⁹ as a single power 2ⁿ. What is n?
30. 30.What is the smallest whole number by which 432 must be divided to get a perfect cube?
31. 31.Which of these is a perfect cube? (a) 823 (b) 767 (c) 729
32. 32.Which of these is a perfect square? (a) 1173 (b) 1188 (c) 1156
33. 33.Use (a − b)² = a² − 2ab + b² to find 33².
34. 34.What is the difference between the compound interest and the simple interest on ₹20000 at 12% per year for 2 years (in ₹)?
35. 35.The diagonals of a rhombus are 10 cm and 21 cm. What is its area (in square cm)?
36. 36.Find the compound interest on ₹7600 at 5% per year for 2 years, compounded every year (in ₹).
37. 37.Find the compound interest on ₹48000 at 15% per year for 3 years, compounded every year (in ₹).
38. 38.3.6 × 10⁷ =
39. 39.6.4 × 10⁴ =
40. 40.Use (a + b)(a − b) = a² − b² to find 78 × 62.

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets