Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 225 · 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 √7569? =
2. 2.What is 69²? =
3. 3.Find the value of x² + 2xy + y² when x = 14 and y = 10.
4. 4.What is the value of 9²? =
5. 5.2.7 × 10⁴ =
6. 6.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
8. 8.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
9. 9.What is √625? =
10. 10.A trapezium has an area of 225 square cm. Its parallel sides are 11 cm and 19 cm. What is the distance between them (in cm)?
11. 11.The sum of four consecutive whole numbers is 62. What is the largest of them?
12. 12.A town has 57200 people. The population grows by 20% every year. What will the population be after 1 year?
13. 13.A cuboid is 8 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
14. 14.The diagonals of a rhombus are 24 cm and 13 cm. What is its area (in square cm)?
15. 15.Write 4¹³ ÷ 4⁵ as a single power 4ⁿ. What is n?
16. 16.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
17. 17.Use a² − b² = (a + b)(a − b) to find 43² − 6².
18. 18.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
19. 19.Use (a + b)(a − b) = a² − b² to find 27 × 13.
20. 20.A square garden has an area of 36 square m. How long is each side (in m)?
21. 21.A room is 3 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
22. 22.A room is 9 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
23. 23.What is 59²? =
24. 24.What amount will ₹50000 grow to in 1 year at 15% per year compound interest (in ₹)?
25. 25.Use a² − b² = (a + b)(a − b) to find 39² − 20².
26. 26.Use a² − b² = (a + b)(a − b) to find 21² − 7².
27. 27.The length of a rectangle is 15 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
28. 28.The length of a rectangle is 10 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
29. 29.Use (a + b)² = a² + 2ab + b² to find 66².
30. 30.8.7 × 10³ =
31. 31.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
32. 32.A cuboid is 4 cm long, 7 cm wide and 6 cm high. What is its total surface area (in square cm)?
33. 33.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
34. 34.What is ∛125? =
35. 35.The length of a rectangle is 10 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
36. 36.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
37. 37.The diagonals of a rhombus are 14 cm and 30 cm. What is its area (in square cm)?
38. 38.Solve: n/6 + n/4 = 15. What is n?
39. 39.What amount will ₹11000 grow to in 3 years at 10% per year compound interest (in ₹)?
40. 40.Use a² − b² = (a + b)(a − b) to find 26² − 4².

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