Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 280 · 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 √361? =
2. 2.Write (4²)³ as a single power 4ⁿ. What is n?
3. 3.The diagonals of a rhombus are 8 cm and 10 cm. What is its area (in square cm)?
4. 4.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
5. 5.Write 2.5 × 10⁻³ as a decimal. =
6. 6.A square garden has an area of 196 square m. How long is each side (in m)?
7. 7.A cuboid is 8 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
8. 8.Find the compound interest on ₹20000 at 25% per year for 2 years, compounded every year (in ₹).
9. 9.What is √900? =
10. 10.Use (a − b)² = a² − 2ab + b² to find 67².
11. 11.The diagonals of a rhombus are 4 cm and 18 cm. What is its area (in square cm)?
12. 12.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
13. 13.Use (a + b)(a − b) = a² − b² to find 53 × 47.
14. 14.Which of these is a perfect square? (a) 1324 (b) 1361 (c) 1296
15. 15.What is the value of 7⁵? =
16. 16.What is the value of 2¹ × 2⁻³? =
17. 17.Solve: y/2 + y/6 = 8. What is y?
18. 18.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
19. 19.The length of a rectangle is 5 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
20. 20.Write 3² × 3³ as a single power 3ⁿ. What is n?
21. 21.A cuboid is 8 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
22. 22.Solve: 8t + 8 = t + 50. What is t?
23. 23.What is 92²? =
24. 24.The sum of three consecutive whole numbers is 45. What is the smallest of them?
25. 25.A father is 24 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
26. 26.A square garden has an area of 81 square m. How long is each side (in m)?
27. 27.What is ∛3375? =
28. 28.Which of these is a perfect square? (a) 361 (b) 396 (c) 369
29. 29.What is 59²? =
30. 30.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
31. 31.Write 27,00,000 in standard form as 2.7 × 10ⁿ. What is n?
32. 32.4.7 × 10³ =
33. 33.Find the value of x² − y² when x = 4 and y = 2.
34. 34.What amount will ₹35600 grow to in 2 years at 5% per year compound interest (in ₹)?
35. 35.A town has 56000 people. The population grows by 5% every year. What will the population be after 3 years?
36. 36.Find the value of x² + 2xy + y² when x = 10 and y = 8.
37. 37.Find the compound interest on ₹48000 at 5% per year for 3 years, compounded every year (in ₹).
38. 38.The length of a rectangle is 5 cm more than its width. Its perimeter is 18 cm. What is its width (in cm)?
39. 39.What is 2³? =
40. 40.A square garden has an area of 144 square m. How long is each side (in m)?

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