Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 707 · 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 (2⁶)⁹ as a single power 2ⁿ. What is n?
2. 2.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
3. 3.A cuboid is 5 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
4. 4.Use a² − b² = (a + b)(a − b) to find 64² − 60².
5. 5.Solve: p/6 + p/4 = 10. What is p?
6. 6.Write 2 × 10⁻³ as a decimal. =
7. 7.A square garden has an area of 625 square m. How long is each side (in m)?
8. 8.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
9. 9.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
10. 10.Which of these is a perfect cube? (a) 73 (b) 109 (c) 64
11. 11.Use (a − b)² = a² − 2ab + b² to find 26².
12. 12.What is the difference between the compound interest and the simple interest on ₹42500 at 8% per year for 2 years (in ₹)?
13. 13.Find the compound interest on ₹6300 at 5% per year for 1 year, compounded every year (in ₹).
14. 14.A cuboid is 6 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
15. 15.What is the difference between the compound interest and the simple interest on ₹27600 at 15% per year for 2 years (in ₹)?
16. 16.Write 840 in standard form as 8.4 × 10ⁿ. What is n?
17. 17.6.2 × 10⁶ =
18. 18.A cuboid is 8 cm long, 3 cm wide and 10 cm high. What is its total surface area (in square cm)?
19. 19.Find the compound interest on ₹52400 at 15% per year for 2 years, compounded every year (in ₹).
20. 20.Find the compound interest on ₹50400 at 5% per year for 2 years, compounded every year (in ₹).
21. 21.A trapezium has parallel sides of 5 cm and 22 cm, and the distance between them is 12 cm. What is its area (in square cm)?
22. 22.What is the difference between the compound interest and the simple interest on ₹47500 at 12% per year for 2 years (in ₹)?
23. 23.A cuboid is 4 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
24. 24.Which of these is a perfect cube? (a) 2197 (b) 2320 (c) 2430
25. 25.5.7 × 10⁷ =
26. 26.A father is 26 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
27. 27.What is 21²? =
28. 28.Use (a + b)(a − b) = a² − b² to find 25 × 15.
29. 29.What is the difference between the compound interest and the simple interest on ₹55200 at 25% per year for 2 years (in ₹)?
30. 30.What is 50²? =
31. 31.A trapezium has an area of 248 square cm. Its parallel sides are 26 cm and 5 cm. What is the distance between them (in cm)?
32. 32.A cuboid is 13 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
33. 33.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
34. 34.What is the value of 2⁻⁶ (as a fraction)? =
35. 35.The diagonals of a rhombus are 28 cm and 9 cm. What is its area (in square cm)?
36. 36.Use (a + b)² = a² + 2ab + b² to find 25².
37. 37.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
38. 38.Which of these is a perfect square? (a) 147 (b) 155 (c) 144
39. 39.Write 7 × 10⁻² as a decimal. =
40. 40.What is the difference between the compound interest and the simple interest on ₹4800 at 15% per year for 2 years (in ₹)?

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