Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 114 · 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 ∛15625? =
2. 2.Which of these is a perfect square? (a) 356 (b) 337 (c) 324
3. 3.A town has 14900 people. The population grows by 15% every year. What will the population be after 1 year?
4. 4.What is 31²? =
5. 5.The length of a rectangle is 3 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
6. 6.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?
7. 7.A cuboid is 8 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
8. 8.If a − b = 7 and ab = 30, what is a² + b²?
9. 9.What is the difference between the compound interest and the simple interest on ₹56200 at 10% per year for 2 years (in ₹)?
10. 10.A cuboid is 15 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
11. 11.Find the value of x² + 2xy + y² when x = 11 and y = 8.
12. 12.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
13. 13.The length of a rectangle is 14 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
14. 14.What is the value of (2/5)⁻¹? =
15. 15.What is 9³? =
16. 16.Write 9³ × 9⁴ as a single power 9ⁿ. What is n?
17. 17.What is the value of (4/9)⁻²? =
18. 18.Solve: 4n + 18 = 3n + 22. What is n?
19. 19.What is the value of 5⁵ × 5⁻²? =
20. 20.What is ∛12167? =
21. 21.What is ∛8000? =
22. 22.What is the smallest whole number by which 72 must be divided to get a perfect cube?
23. 23.Use a² − b² = (a + b)(a − b) to find 70² − 48².
24. 24.If a − b = 5 and ab = 6, what is a² + b²?
25. 25.Which of these is a perfect square? (a) 144 (b) 153 (c) 145
26. 26.A cuboid is 3 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
27. 27.How many whole numbers lie between 49² and 50²?
28. 28.A trapezium has parallel sides of 14 cm and 9 cm, and the distance between them is 18 cm. What is its area (in square cm)?
29. 29.Solve: t/3 + t/4 = 14. What is t?
30. 30.What is the value of 5⁶ × 5⁻¹? =
31. 31.What amount will ₹2800 grow to in 2 years at 15% per year compound interest (in ₹)?
32. 32.Write 2¹⁰ ÷ 2⁷ as a single power 2ⁿ. What is n?
33. 33.What is 93²? =
34. 34.The sum of three consecutive whole numbers is 153. What is the largest of them?
35. 35.What is the value of 10⁴? =
36. 36.A trapezium has parallel sides of 24 cm and 15 cm, and the distance between them is 10 cm. What is its area (in square cm)?
37. 37.A trapezium has parallel sides of 13 cm and 25 cm, and the distance between them is 3 cm. What is its area (in square cm)?
38. 38.What is the difference between the compound interest and the simple interest on ₹22000 at 5% per year for 2 years (in ₹)?
39. 39.A father is 7 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
40. 40.Which of these is a perfect square? (a) 1591 (b) 1570 (c) 1521

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