Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 117 · 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.Find the compound interest on ₹7500 at 8% per year for 2 years, compounded every year (in ₹).
2. 2.Use (a + b)(a − b) = a² − b² to find 52 × 48.
3. 3.What is 16³? =
4. 4.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
5. 5.Use (a + b)(a − b) = a² − b² to find 95 × 85.
6. 6.What is the value of 2⁶ × 2⁻⁴? =
7. 7.A room is 4 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
8. 8.What is the value of 6⁵? =
9. 9.3 × 10⁶ =
10. 10.Each edge of a cube is 12 cm. What is its total surface area (in square cm)?
11. 11.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
12. 12.Use a² − b² = (a + b)(a − b) to find 22² − 21².
13. 13.Find the compound interest on ₹36400 at 10% per year for 2 years, compounded every year (in ₹).
14. 14.What is ∛8? =
15. 15.2.4 × 10⁶ =
16. 16.Which of these is a perfect square? (a) 1049 (b) 1046 (c) 1024
17. 17.What is √1369? =
18. 18.Solve: p/5 + p/3 = 48. What is p?
19. 19.What is √2025? =
20. 20.Write 6.9 × 10⁻¹ as a decimal. =
21. 21.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
22. 22.What is ∛5832? =
23. 23.Find the value of x² + 2xy + y² when x = 10 and y = 1.
24. 24.What amount will ₹57600 grow to in 2 years at 10% per year compound interest (in ₹)?
25. 25.The sum of two consecutive whole numbers is 105. What is the smallest of them?
26. 26.Use (a + b)(a − b) = a² − b² to find 57 × 43.
27. 27.How many whole numbers lie between 13² and 14²?
28. 28.A cuboid is 9 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?
29. 29.Solve: m/2 + m/6 = 12. What is m?
30. 30.What is 56²? =
31. 31.What is the difference between the compound interest and the simple interest on ₹46200 at 20% per year for 2 years (in ₹)?
32. 32.What is the value of 5⁴? =
33. 33.What is the difference between the compound interest and the simple interest on ₹8000 at 5% per year for 2 years (in ₹)?
34. 34.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
35. 35.Write 5.3 × 10⁻² as a decimal. =
36. 36.What is the value of 2¹⁶? =
37. 37.What is the smallest whole number by which 375 must be divided to get a perfect cube?
38. 38.A father is 33 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
39. 39.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
40. 40.Write (7⁷)⁶ as a single power 7ⁿ. What is n?

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