Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 83 · 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.What is the value of (8/9)⁻¹? =
2. 2.What is the value of 2⁴ × 2⁻²? =
3. 3.How many whole numbers lie between 12² and 13²?
4. 4.Write (3²)⁸ as a single power 3ⁿ. What is n?
5. 5.Solve: 6p + 20 = p + 75. What is p?
6. 6.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
7. 7.What is 93²? =
8. 8.What is the value of 2¹⁰? =
9. 9.The length of a rectangle is 3 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
10. 10.A cuboid is 14 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
11. 11.Find the compound interest on ₹8800 at 10% per year for 1 year, compounded every year (in ₹).
12. 12.What is the smallest whole number by which 468 must be multiplied to get a perfect square?
13. 13.A trapezium has an area of 165 square cm. Its parallel sides are 5 cm and 28 cm. What is the distance between them (in cm)?
14. 14.What is the value of 10³ × 10⁻²? =
15. 15.What is the smallest whole number by which 112 must be multiplied to get a perfect square?
16. 16.A town has 53500 people. The population grows by 20% every year. What will the population be after 2 years?
17. 17.A town has 57500 people. The population grows by 8% every year. What will the population be after 2 years?
18. 18.A town has 17500 people. The population grows by 8% every year. What will the population be after 2 years?
19. 19.Use (a − b)² = a² − 2ab + b² to find 35².
20. 20.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
21. 21.A trapezium has an area of 85 square cm. Its parallel sides are 13 cm and 4 cm. What is the distance between them (in cm)?
22. 22.A square garden has an area of 121 square m. How long is each side (in m)?
23. 23.The length of a rectangle is 15 cm more than its width. Its perimeter is 150 cm. What is its width (in cm)?
24. 24.What is √529? =
25. 25.A cuboid is 3 cm long, 3 cm wide and 3 cm high. What is its total surface area (in square cm)?
26. 26.A town has 30000 people. The population grows by 12% every year. What will the population be after 2 years?
27. 27.Write 8² × 8⁹ as a single power 8ⁿ. What is n?
28. 28.What is √1681? =
29. 29.A cuboid is 12 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
30. 30.The diagonals of a rhombus are 16 cm and 21 cm. What is its area (in square cm)?
31. 31.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
32. 32.A father is 14 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
33. 33.A room is 12 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
34. 34.Find the compound interest on ₹18400 at 5% per year for 2 years, compounded every year (in ₹).
35. 35.The sum of three consecutive whole numbers is 42. What is the smallest of them?
36. 36.How many whole numbers lie between 22² and 23²?
37. 37.Write 6⁸ ÷ 6⁵ as a single power 6ⁿ. What is n?
38. 38.What is the value of 2⁶ × 2⁻¹? =
39. 39.A trapezium has parallel sides of 30 cm and 27 cm, and the distance between them is 8 cm. What is its area (in square cm)?
40. 40.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?

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