Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 325 · 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.Use a² − b² = (a + b)(a − b) to find 97² − 77².
2. 2.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
3. 3.What amount will ₹12800 grow to in 3 years at 25% per year compound interest (in ₹)?
4. 4.A town has 11000 people. The population grows by 10% every year. What will the population be after 3 years?
5. 5.Solve: y/4 + y/3 = 14. What is y?
6. 6.What is the value of (7/8)⁻¹? =
7. 7.Solve: 6(t − 3) = 5t + 1. What is t?
8. 8.If a + b = 4 and ab = 3, what is a² + b²?
9. 9.The diagonals of a rhombus are 10 cm and 16 cm. What is its area (in square cm)?
10. 10.What amount will ₹28400 grow to in 2 years at 25% per year compound interest (in ₹)?
11. 11.Write 6.1 × 10⁻¹ as a decimal. =
12. 12.The sum of four consecutive whole numbers is 34. What is the largest of them?
13. 13.What is the value of 9⁻³ (as a fraction)? =
14. 14.Which of these is a perfect square? (a) 1444 (b) 1458 (c) 1455
15. 15.What is the value of 5² × 5⁻⁵? =
16. 16.Find the compound interest on ₹16600 at 8% per year for 1 year, compounded every year (in ₹).
17. 17.What is the value of 3¹⁰? =
18. 18.What is the value of 2¹²? =
19. 19.Find the compound interest on ₹22500 at 20% per year for 3 years, compounded every year (in ₹).
20. 20.What is the difference between the compound interest and the simple interest on ₹30400 at 25% per year for 2 years (in ₹)?
21. 21.Use (a + b)² = a² + 2ab + b² to find 25².
22. 22.Which of these is a perfect cube? (a) 269 (b) 216 (c) 316
23. 23.How many whole numbers lie between 22² and 23²?
24. 24.A trapezium has parallel sides of 4 cm and 9 cm, and the distance between them is 20 cm. What is its area (in square cm)?
25. 25.What is the value of 6⁴? =
26. 26.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
27. 27.Use a² − b² = (a + b)(a − b) to find 22² − 5².
28. 28.A square garden has an area of 196 square m. How long is each side (in m)?
29. 29.Use (a + b)² = a² + 2ab + b² to find 81².
30. 30.What is 12²? =
31. 31.What is the value of 3⁶ × 3⁻³? =
32. 32.Solve: 3(t − 1) = t + 9. What is t?
33. 33.Use (a + b)² = a² + 2ab + b² to find 67².
34. 34.A square garden has an area of 2916 square m. How long is each side (in m)?
35. 35.The diagonals of a rhombus are 16 cm and 23 cm. What is its area (in square cm)?
36. 36.2.4 × 10² =
37. 37.A trapezium has parallel sides of 19 cm and 18 cm, and the distance between them is 8 cm. What is its area (in square cm)?
38. 38.Use (a − b)² = a² − 2ab + b² to find 38².
39. 39.What is 87²? =
40. 40.What is the smallest whole number by which 147 must be multiplied to get a perfect square?

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