Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 503 · 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.The diagonals of a rhombus are 18 cm and 17 cm. What is its area (in square cm)?
2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
3. 3.Solve: 5m + 19 = 4m + 21. What is m?
4. 4.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
5. 5.What is 2³? =
6. 6.How many whole numbers lie between 45² and 46²?
7. 7.Find the compound interest on ₹22400 at 25% per year for 3 years, compounded every year (in ₹).
8. 8.The sum of two consecutive whole numbers is 105. What is the largest of them?
9. 9.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
10. 10.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
11. 11.A cuboid is 7 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
12. 12.What is the value of 3³? =
13. 13.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
14. 14.What is 91²? =
15. 15.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
16. 16.Use a² − b² = (a + b)(a − b) to find 34² − 12².
17. 17.Use (a + b)(a − b) = a² − b² to find 61 × 59.
18. 18.What is √196? =
19. 19.Write 6¹¹ ÷ 6² as a single power 6ⁿ. What is n?
20. 20.What is 33²? =
21. 21.Use (a + b)² = a² + 2ab + b² to find 21².
22. 22.What is the difference between the compound interest and the simple interest on ₹8000 at 15% per year for 2 years (in ₹)?
23. 23.What is 5³? =
24. 24.The diagonals of a rhombus are 16 cm and 16 cm. What is its area (in square cm)?
25. 25.A trapezium has an area of 165 square cm. Its parallel sides are 11 cm and 19 cm. What is the distance between them (in cm)?
26. 26.Solve: 5y + 12 = 3y + 22. What is y?
27. 27.What is the value of 2⁴? =
28. 28.Write 1,400 in standard form as 1.4 × 10ⁿ. What is n?
29. 29.What amount will ₹56000 grow to in 3 years at 5% per year compound interest (in ₹)?
30. 30.A trapezium has an area of 246 square cm. Its parallel sides are 28 cm and 13 cm. What is the distance between them (in cm)?
31. 31.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
32. 32.Solve: 3x + 6 = x + 16. What is x?
33. 33.A father is 13 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
34. 34.Which of these is a perfect square? (a) 101 (b) 100 (c) 105
35. 35.Find the compound interest on ₹6600 at 12% per year for 1 year, compounded every year (in ₹).
36. 36.A town has 29000 people. The population grows by 10% every year. What will the population be after 3 years?
37. 37.What is 12³? =
38. 38.What is the value of (2/7)⁻¹? =
39. 39.Use a² − b² = (a + b)(a − b) to find 69² − 6².
40. 40.What is √900? =

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