Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 155 · 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 square garden has an area of 100 square m. How long is each side (in m)?
2. 2.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
3. 3.A square garden has an area of 121 square m. How long is each side (in m)?
4. 4.What is the value of 2¹⁴? =
5. 5.Use a² − b² = (a + b)(a − b) to find 34² − 20².
6. 6.Find the compound interest on ₹20000 at 25% per year for 2 years, compounded every year (in ₹).
7. 7.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
8. 8.What is √484? =
9. 9.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
10. 10.How many whole numbers lie between 48² and 49²?
11. 11.Find the value of x² + 2xy + y² when x = 12 and y = 1.
12. 12.Find the compound interest on ₹25000 at 4% per year for 2 years, compounded every year (in ₹).
13. 13.What is the smallest whole number by which 18 must be multiplied to get a perfect square?
14. 14.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
15. 15.What is the value of 7⁻² (as a fraction)? =
16. 16.Find the compound interest on ₹12000 at 20% per year for 3 years, compounded every year (in ₹).
17. 17.If a − b = 5 and ab = 14, what is a² + b²?
18. 18.What is 73²? =
19. 19.What amount will ₹36800 grow to in 3 years at 25% per year compound interest (in ₹)?
20. 20.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
21. 21.Solve: y/4 + y/3 = 21. What is y?
22. 22.Which of these is a perfect square? (a) 1229 (b) 1245 (c) 1225
23. 23.Find the value of x² − 2xy + y² when x = 14 and y = 13.
24. 24.A room is 6 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
25. 25.What is the difference between the compound interest and the simple interest on ₹43000 at 20% per year for 2 years (in ₹)?
26. 26.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
27. 27.If a + b = 12 and ab = 32, what is a² + b²?
28. 28.Use (a + b)² = a² + 2ab + b² to find 55².
29. 29.Which of these is a perfect cube? (a) 1990 (b) 1798 (c) 1728
30. 30.The sum of two consecutive whole numbers is 13. What is the smallest of them?
31. 31.The diagonals of a rhombus are 10 cm and 29 cm. What is its area (in square cm)?
32. 32.Use a² − b² = (a + b)(a − b) to find 74² − 32².
33. 33.A cuboid is 3 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
34. 34.If a − b = 3 and ab = 88, what is a² + b²?
35. 35.A cuboid is 5 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
36. 36.Use (a + b)² = a² + 2ab + b² to find 83².
37. 37.A cuboid is 12 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
38. 38.What amount will ₹36700 grow to in 2 years at 20% per year compound interest (in ₹)?
39. 39.Write 84,00,000 in standard form as 8.4 × 10ⁿ. What is n?
40. 40.What is the difference between the compound interest and the simple interest on ₹5200 at 5% per year for 2 years (in ₹)?

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