Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 197 · 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 total surface area of a cube is 600 square cm. How long is each edge (in cm)?
2. 2.What is the smallest whole number by which 40 must be divided to get a perfect cube?
3. 3.Write 7.6 × 10⁻¹ as a decimal. =
4. 4.Solve: x/5 + x/2 = 56. What is x?
5. 5.What is ∛64? =
6. 6.A trapezium has an area of 425 square cm. Its parallel sides are 29 cm and 21 cm. What is the distance between them (in cm)?
7. 7.What is 72²? =
8. 8.What is the smallest whole number by which 63 must be divided to get a perfect square?
9. 9.Use a² − b² = (a + b)(a − b) to find 61² − 16².
10. 10.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
11. 11.What is the value of 2¹⁵? =
12. 12.A trapezium has an area of 84 square cm. Its parallel sides are 20 cm and 4 cm. What is the distance between them (in cm)?
13. 13.A trapezium has parallel sides of 29 cm and 17 cm, and the distance between them is 14 cm. What is its area (in square cm)?
14. 14.Which of these is a perfect square? (a) 529 (b) 533 (c) 556
15. 15.A cuboid is 15 cm long, 11 cm wide and 2 cm high. What is its total surface area (in square cm)?
16. 16.Which of these is a perfect cube? (a) 1056 (b) 1000 (c) 1265
17. 17.Write 2³ × 2⁶ as a single power 2ⁿ. What is n?
18. 18.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
19. 19.A scooter is worth ₹42500. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
20. 20.Write 2³ × 2⁷ as a single power 2ⁿ. What is n?
21. 21.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
22. 22.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
23. 23.Solve: 3m + 2 = 2m + 12. What is m?
24. 24.If a − b = 6 and ab = 40, what is a² + b²?
25. 25.Use (a − b)² = a² − 2ab + b² to find 35².
26. 26.What is ∛216? =
27. 27.Find the compound interest on ₹8000 at 15% per year for 3 years, compounded every year (in ₹).
28. 28.The diagonals of a rhombus are 4 cm and 12 cm. What is its area (in square cm)?
29. 29.What is the value of 10²? =
30. 30.Solve: 3(x − 2) = 2x + 11. What is x?
31. 31.Use (a − b)² = a² − 2ab + b² to find 89².
32. 32.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
33. 33.What amount will ₹32000 grow to in 3 years at 15% per year compound interest (in ₹)?
34. 34.What is the value of 9⁵? =
35. 35.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
36. 36.Find the compound interest on ₹14000 at 5% per year for 2 years, compounded every year (in ₹).
37. 37.Write 19,00,000 in standard form as 1.9 × 10ⁿ. What is n?
38. 38.Find the compound interest on ₹16400 at 15% per year for 2 years, compounded every year (in ₹).
39. 39.Use a² − b² = (a + b)(a − b) to find 58² − 17².
40. 40.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?

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