Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 275 · 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 cuboid is 11 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
2. 2.Use (a + b)² = a² + 2ab + b² to find 65².
3. 3.What is √225? =
4. 4.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
5. 5.What is 15³? =
6. 6.What amount will ₹9200 grow to in 1 year at 12% per year compound interest (in ₹)?
7. 7.If a − b = 1 and ab = 30, what is a² + b²?
8. 8.The sum of four consecutive whole numbers is 54. What is the smallest of them?
9. 9.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
10. 10.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
11. 11.What is 11²? =
12. 12.A father is 12 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?
13. 13.A trapezium has an area of 168 square cm. Its parallel sides are 15 cm and 6 cm. What is the distance between them (in cm)?
14. 14.Solve: 8t + 18 = 6t + 32. What is t?
15. 15.What amount will ₹59600 grow to in 1 year at 8% per year compound interest (in ₹)?
16. 16.Find the value of x² − y² when x = 4 and y = 3.
17. 17.What is ∛64? =
18. 18.Use (a + b)² = a² + 2ab + b² to find 33².
19. 19.What is the value of 6⁶? =
20. 20.Use (a + b)(a − b) = a² − b² to find 31 × 29.
21. 21.A trapezium has parallel sides of 9 cm and 24 cm, and the distance between them is 4 cm. What is its area (in square cm)?
22. 22.What is the difference between the compound interest and the simple interest on ₹22600 at 20% per year for 2 years (in ₹)?
23. 23.How many whole numbers lie between 19² and 20²?
24. 24.A trapezium has parallel sides of 7 cm and 28 cm, and the distance between them is 16 cm. What is its area (in square cm)?
25. 25.What is the value of 2¹¹? =
26. 26.How many whole numbers lie between 7² and 8²?
27. 27.What amount will ₹3000 grow to in 3 years at 10% per year compound interest (in ₹)?
28. 28.Which of these is a perfect square? (a) 1449 (b) 1509 (c) 1444
29. 29.Use (a + b)² = a² + 2ab + b² to find 76².
30. 30.Use (a + b)² = a² + 2ab + b² to find 37².
31. 31.What is the difference between the compound interest and the simple interest on ₹22000 at 20% per year for 2 years (in ₹)?
32. 32.Use a² − b² = (a + b)(a − b) to find 98² − 29².
33. 33.What is the value of 4⁻³ (as a fraction)? =
34. 34.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
35. 35.Find the compound interest on ₹7500 at 12% per year for 2 years, compounded every year (in ₹).
36. 36.What is 12³? =
37. 37.A scooter is worth ₹50000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
38. 38.What is √9216? =
39. 39.Use (a + b)² = a² + 2ab + b² to find 48².
40. 40.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?

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