Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 25 · 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 cuboid is 6 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
2. 2.Use (a + b)² = a² + 2ab + b² to find 32².
3. 3.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
4. 4.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
5. 5.Which of these is a perfect square? (a) 1225 (b) 1245 (c) 1260
6. 6.Solve: 3y + 4 = 2y + 17. What is y?
7. 7.Write 3⁶ ÷ 3³ as a single power 3ⁿ. What is n?
8. 8.Solve: m/2 + m/3 = 35. What is m?
9. 9.Write 41,00,000 in standard form as 4.1 × 10ⁿ. What is n?
10. 10.What is the difference between the compound interest and the simple interest on ₹35200 at 25% per year for 2 years (in ₹)?
11. 11.What amount will ₹40000 grow to in 3 years at 10% per year compound interest (in ₹)?
12. 12.What is the value of 5² × 5⁻⁴? =
13. 13.What is the value of 10² × 10⁻⁶? =
14. 14.Which of these is a perfect cube? (a) 143 (b) 185 (c) 125
15. 15.What is the value of 3³ × 3⁻⁵? =
16. 16.What is 6³? =
17. 17.What is 7³? =
18. 18.A cuboid is 6 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
19. 19.How many whole numbers lie between 10² and 11²?
20. 20.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
21. 21.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
22. 22.Use (a − b)² = a² − 2ab + b² to find 47².
23. 23.What amount will ₹28600 grow to in 1 year at 25% per year compound interest (in ₹)?
24. 24.Write 26,00,000 in standard form as 2.6 × 10ⁿ. What is n?
25. 25.What is the value of 10⁻³ (as a fraction)? =
26. 26.Write 5.7 × 10⁻⁴ as a decimal. =
27. 27.How many whole numbers lie between 13² and 14²?
28. 28.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
29. 29.Use (a + b)(a − b) = a² − b² to find 73 × 67.
30. 30.Use (a − b)² = a² − 2ab + b² to find 69².
31. 31.Solve: 5n + 19 = 3n + 21. What is n?
32. 32.What is 18³? =
33. 33.A father is 34 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
34. 34.Which of these is a perfect cube? (a) 883 (b) 729 (c) 798
35. 35.Find the compound interest on ₹7000 at 20% per year for 3 years, compounded every year (in ₹).
36. 36.The diagonals of a rhombus are 4 cm and 27 cm. What is its area (in square cm)?
37. 37.What is the value of 5⁶? =
38. 38.What is the value of 5⁷? =
39. 39.What is the value of 5¹ × 5⁻²? =
40. 40.Use (a + b)(a − b) = a² − b² to find 102 × 98.

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