Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 832 · 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 cube has a volume of 125 cubic cm. How long is each edge (in cm)?
2. 2.The diagonals of a rhombus are 4 cm and 13 cm. What is its area (in square cm)?
3. 3.What is 62²? =
4. 4.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
5. 5.Write 2⁶ × 2⁷ as a single power 2ⁿ. What is n?
6. 6.Find the compound interest on ₹30000 at 4% per year for 2 years, compounded every year (in ₹).
7. 7.Which of these is a perfect cube? (a) 3375 (b) 3409 (c) 3562
8. 8.9.3 × 10³ =
9. 9.Use (a + b)² = a² + 2ab + b² to find 43².
10. 10.Use (a + b)² = a² + 2ab + b² to find 26².
11. 11.Solve: 3n + 9 = n + 27. What is n?
12. 12.Find the compound interest on ₹48400 at 20% per year for 2 years, compounded every year (in ₹).
13. 13.A trapezium has an area of 94 square cm. Its parallel sides are 26 cm and 21 cm. What is the distance between them (in cm)?
14. 14.What is √2704? =
15. 15.A trapezium has an area of 147 square cm. Its parallel sides are 4 cm and 17 cm. What is the distance between them (in cm)?
16. 16.Find the compound interest on ₹33600 at 5% per year for 2 years, compounded every year (in ₹).
17. 17.What is the value of 3⁴ × 3⁻²? =
18. 18.What is √625? =
19. 19.9.3 × 10⁶ =
20. 20.Which of these is a perfect cube? (a) 247 (b) 295 (c) 216
21. 21.Find the compound interest on ₹45000 at 4% per year for 2 years, compounded every year (in ₹).
22. 22.Write 8² × 8³ as a single power 8ⁿ. What is n?
23. 23.What is the value of 3³? =
24. 24.A father is 17 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
25. 25.Use (a + b)(a − b) = a² − b² to find 106 × 94.
26. 26.What is ∛1331? =
27. 27.Use (a + b)(a − b) = a² − b² to find 74 × 66.
28. 28.What is the difference between the compound interest and the simple interest on ₹40000 at 8% per year for 2 years (in ₹)?
29. 29.A cuboid is 9 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
30. 30.A room is 11 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?
31. 31.Which of these is a perfect square? (a) 144 (b) 151 (c) 166
32. 32.Solve: 4t + 1 = 3t + 5. What is t?
33. 33.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
34. 34.The sum of four consecutive whole numbers is 30. What is the smallest of them?
35. 35.The sum of four consecutive whole numbers is 234. What is the smallest of them?
36. 36.Write 9.6 × 10⁻² as a decimal. =
37. 37.A town has 23400 people. The population grows by 20% every year. What will the population be after 1 year?
38. 38.Use (a + b)² = a² + 2ab + b² to find 64².
39. 39.What is ∛4913? =
40. 40.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

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