Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 43 · 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 cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
2. 2.The length of a rectangle is 3 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
3. 3.Write 24,00,000 in standard form as 2.4 × 10ⁿ. What is n?
4. 4.A town has 30800 people. The population grows by 5% every year. What will the population be after 2 years?
5. 5.A cuboid is 3 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
6. 6.The diagonals of a rhombus are 4 cm and 9 cm. What is its area (in square cm)?
7. 7.A cuboid is 3 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
8. 8.Write 2,700 in standard form as 2.7 × 10ⁿ. What is n?
9. 9.A room is 10 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
10. 10.What amount will ₹39500 grow to in 2 years at 10% per year compound interest (in ₹)?
11. 11.The sum of four consecutive whole numbers is 174. What is the largest of them?
12. 12.What is 46²? =
13. 13.Use (a + b)(a − b) = a² − b² to find 89 × 71.
14. 14.Which of these is a perfect square? (a) 898 (b) 841 (c) 860
15. 15.Use (a + b)(a − b) = a² − b² to find 85 × 75.
16. 16.A scooter is worth ₹38400. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
17. 17.Find the compound interest on ₹25600 at 4% per year for 1 year, compounded every year (in ₹).
18. 18.A room is 6 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
19. 19.What is the value of 2⁻⁶ (as a fraction)? =
20. 20.What is ∛216? =
21. 21.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
22. 22.A square garden has an area of 1764 square m. How long is each side (in m)?
23. 23.Which of these is a perfect cube? (a) 837 (b) 729 (c) 838
24. 24.What is 36²? =
25. 25.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
26. 26.A square garden has an area of 3364 square m. How long is each side (in m)?
27. 27.What is the value of 2¹²? =
28. 28.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
29. 29.What is the value of 10⁻² (as a fraction)? =
30. 30.What is the value of 6⁴? =
31. 31.A scooter is worth ₹40000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
32. 32.What is the difference between the compound interest and the simple interest on ₹25000 at 10% per year for 2 years (in ₹)?
33. 33.Solve: 8m + 1 = 2m + 37. What is m?
34. 34.What is 18³? =
35. 35.Which of these is a perfect cube? (a) 482 (b) 343 (c) 465
36. 36.A cuboid is 13 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
37. 37.Find the compound interest on ₹16000 at 5% per year for 3 years, compounded every year (in ₹).
38. 38.What is the smallest whole number by which 375 must be divided to get a perfect cube?
39. 39.Write 5⁷ ÷ 5⁵ as a single power 5ⁿ. What is n?
40. 40.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

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