Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 278 · 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.Write 8⁹ × 8⁷ as a single power 8ⁿ. What is n?
2. 2.A square garden has an area of 196 square m. How long is each side (in m)?
3. 3.A room is 9 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
4. 4.A scooter is worth ₹56000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
5. 5.A town has 32300 people. The population grows by 5% every year. What will the population be after 1 year?
6. 6.Use (a + b)² = a² + 2ab + b² to find 67².
7. 7.Use (a − b)² = a² − 2ab + b² to find 47².
8. 8.What is the value of 8⁻¹ (as a fraction)? =
9. 9.Write 4¹² ÷ 4⁷ as a single power 4ⁿ. What is n?
10. 10.The sum of four consecutive whole numbers is 98. What is the largest of them?
11. 11.Which of these is a perfect cube? (a) 94 (b) 79 (c) 64
12. 12.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
13. 13.4.1 × 10⁵ =
14. 14.If a − b = 1 and ab = 6, what is a² + b²?
15. 15.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
16. 16.A square garden has an area of 961 square m. How long is each side (in m)?
17. 17.Use a² − b² = (a + b)(a − b) to find 97² − 85².
18. 18.Which of these is a perfect cube? (a) 1894 (b) 1728 (c) 2159
19. 19.A cuboid is 14 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
20. 20.What is the smallest whole number by which 16 must be divided to get a perfect cube?
21. 21.Use a² − b² = (a + b)(a − b) to find 45² − 12².
22. 22.A room is 11 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
23. 23.How many whole numbers lie between 31² and 32²?
24. 24.Use a² − b² = (a + b)(a − b) to find 79² − 33².
25. 25.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
26. 26.Solve: t/5 + t/4 = 72. What is t?
27. 27.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
28. 28.The sum of four consecutive whole numbers is 222. What is the smallest of them?
29. 29.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
30. 30.What is 10³? =
31. 31.How many whole numbers lie between 16² and 17²?
32. 32.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
33. 33.What is √6241? =
34. 34.What amount will ₹35000 grow to in 2 years at 12% per year compound interest (in ₹)?
35. 35.The diagonals of a rhombus are 26 cm and 4 cm. What is its area (in square cm)?
36. 36.What is the difference between the compound interest and the simple interest on ₹13600 at 15% per year for 2 years (in ₹)?
37. 37.Solve: 4(y − 1) = 2y + 14. What is y?
38. 38.A town has 32400 people. The population grows by 4% every year. What will the population be after 1 year?
39. 39.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
40. 40.Use (a + b)(a − b) = a² − b² to find 68 × 52.

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