Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 505 · 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.Find the compound interest on ₹11000 at 20% per year for 1 year, compounded every year (in ₹).
2. 2.What is the smallest whole number by which 56 must be multiplied to get a perfect square?
3. 3.A town has 7200 people. The population grows by 10% every year. What will the population be after 2 years?
4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
5. 5.Solve: 3y + 12 = y + 22. What is y?
6. 6.Use (a + b)² = a² + 2ab + b² to find 33².
7. 7.Use (a − b)² = a² − 2ab + b² to find 59².
8. 8.A father is 13 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
9. 9.What is the smallest whole number by which 98 must be multiplied to get a perfect square?
10. 10.A trapezium has parallel sides of 30 cm and 9 cm, and the distance between them is 8 cm. What is its area (in square cm)?
11. 11.A trapezium has parallel sides of 11 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
12. 12.The diagonals of a rhombus are 16 cm and 26 cm. What is its area (in square cm)?
13. 13.What is 52²? =
14. 14.Find the compound interest on ₹23500 at 15% per year for 1 year, compounded every year (in ₹).
15. 15.The sum of three consecutive whole numbers is 21. What is the largest of them?
16. 16.Write 1.8 × 10⁻¹ as a decimal. =
17. 17.The diagonals of a rhombus are 30 cm and 26 cm. What is its area (in square cm)?
18. 18.A cuboid is 8 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
19. 19.A scooter is worth ₹23200. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
20. 20.What amount will ₹16200 grow to in 1 year at 10% per year compound interest (in ₹)?
21. 21.What amount will ₹7500 grow to in 2 years at 4% per year compound interest (in ₹)?
22. 22.Solve: 8y + 20 = y + 48. What is y?
23. 23.Find the value of x² − y² when x = 13 and y = 12.
24. 24.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
25. 25.What is 10³? =
26. 26.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
27. 27.What is the value of 2⁶? =
28. 28.Which of these is a perfect square? (a) 135 (b) 121 (c) 123
29. 29.The sum of two consecutive whole numbers is 47. What is the largest of them?
30. 30.What is 81²? =
31. 31.Use a² − b² = (a + b)(a − b) to find 24² − 4².
32. 32.A trapezium has parallel sides of 21 cm and 8 cm, and the distance between them is 4 cm. What is its area (in square cm)?
33. 33.What is the value of 10⁻² (as a fraction)? =
34. 34.A father is 12 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
35. 35.Use (a − b)² = a² − 2ab + b² to find 73².
36. 36.What is 33²? =
37. 37.A town has 6000 people. The population grows by 25% every year. What will the population be after 2 years?
38. 38.Write 2¹¹ ÷ 2⁶ as a single power 2ⁿ. What is n?
39. 39.What amount will ₹12000 grow to in 3 years at 20% per year compound interest (in ₹)?
40. 40.A father is 38 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?

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