Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 249 · 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.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
2. 2.Find the compound interest on ₹50800 at 15% per year for 2 years, compounded every year (in ₹).
3. 3.Use (a − b)² = a² − 2ab + b² to find 58².
4. 4.A cuboid is 13 cm long, 12 cm wide and 3 cm high. What is its total surface area (in square cm)?
5. 5.What is 73²? =
6. 6.A scooter is worth ₹19200. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
7. 7.Write 3.9 × 10⁻² as a decimal. =
8. 8.What is the value of (3/5)⁻²? =
9. 9.Use (a + b)² = a² + 2ab + b² to find 31².
10. 10.What is the value of 9³? =
11. 11.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
12. 12.Use (a + b)(a − b) = a² − b² to find 42 × 38.
13. 13.Find the value of x² − 2xy + y² when x = 6 and y = 1.
14. 14.Solve: 4t + 20 = 2t + 46. What is t?
15. 15.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
16. 16.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
17. 17.What is the smallest whole number by which 960 must be multiplied to get a perfect square?
18. 18.The length of a rectangle is 12 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
19. 19.The length of a rectangle is 1 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
20. 20.If a + b = 15 and ab = 56, what is a² + b²?
21. 21.What is the value of 5⁴ × 5⁻²? =
22. 22.A trapezium has an area of 34 square cm. Its parallel sides are 6 cm and 11 cm. What is the distance between them (in cm)?
23. 23.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
24. 24.What is 8³? =
25. 25.How many whole numbers lie between 15² and 16²?
26. 26.What is the value of 9²? =
27. 27.Use a² − b² = (a + b)(a − b) to find 25² − 6².
28. 28.A father is 24 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
29. 29.What is the difference between the compound interest and the simple interest on ₹25900 at 20% per year for 2 years (in ₹)?
30. 30.Solve: 4(y − 3) = 2y + 6. What is y?
31. 31.The sum of four consecutive whole numbers is 114. What is the largest of them?
32. 32.Which of these is a perfect square? (a) 1225 (b) 1277 (c) 1227
33. 33.Solve: 8m + 18 = 3m + 73. What is m?
34. 34.A town has 40000 people. The population grows by 15% every year. What will the population be after 3 years?
35. 35.What is the value of 2² × 2⁻¹? =
36. 36.The diagonals of a rhombus are 4 cm and 6 cm. What is its area (in square cm)?
37. 37.Write 4.8 × 10⁻¹ as a decimal. =
38. 38.Find the value of x² − 2xy + y² when x = 13 and y = 10.
39. 39.A trapezium has an area of 46 square cm. Its parallel sides are 20 cm and 3 cm. What is the distance between them (in cm)?
40. 40.A cuboid is 8 cm long, 12 cm wide and 8 cm high. What is its total surface area (in square cm)?

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