Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 429 · 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.How many whole numbers lie between 47² and 48²?
2. 2.The diagonals of a rhombus are 22 cm and 22 cm. What is its area (in square cm)?
3. 3.Which of these is a perfect cube? (a) 93 (b) 64 (c) 70
4. 4.Which of these is a perfect square? (a) 783 (b) 744 (c) 729
5. 5.A room is 7 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
6. 6.Write 2.3 × 10⁻⁴ as a decimal. =
7. 7.Use (a + b)² = a² + 2ab + b² to find 64².
8. 8.What is ∛15625? =
9. 9.What is the value of 5⁷? =
10. 10.A square garden has an area of 1849 square m. How long is each side (in m)?
11. 11.A trapezium has an area of 200 square cm. Its parallel sides are 25 cm and 15 cm. What is the distance between them (in cm)?
12. 12.Write 4.7 × 10⁻³ as a decimal. =
13. 13.What is ∛1728? =
14. 14.A scooter is worth ₹4000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
15. 15.A square garden has an area of 900 square m. How long is each side (in m)?
16. 16.What is 91²? =
17. 17.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
18. 18.Solve: 3n + 3 = 2n + 7. What is n?
19. 19.What is 15³? =
20. 20.2.3 × 10⁶ =
21. 21.What is the smallest whole number by which 1215 must be multiplied to get a perfect square?
22. 22.What is 9³? =
23. 23.What is the difference between the compound interest and the simple interest on ₹12500 at 12% per year for 2 years (in ₹)?
24. 24.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
25. 25.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
26. 26.Use a² − b² = (a + b)(a − b) to find 22² − 17².
27. 27.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
28. 28.The length of a rectangle is 1 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
29. 29.What amount will ₹57300 grow to in 1 year at 20% per year compound interest (in ₹)?
30. 30.A father is 7 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
31. 31.Use (a + b)² = a² + 2ab + b² to find 105².
32. 32.What is the smallest whole number by which 80 must be divided to get a perfect square?
33. 33.5.6 × 10⁶ =
34. 34.Write 6.5 × 10⁻³ as a decimal. =
35. 35.The diagonals of a rhombus are 30 cm and 9 cm. What is its area (in square cm)?
36. 36.Use a² − b² = (a + b)(a − b) to find 38² − 2².
37. 37.What is the smallest whole number by which 320 must be divided to get a perfect cube?
38. 38.What is the value of 10⁵? =
39. 39.What is the value of 10⁴? =
40. 40.The diagonals of a rhombus are 30 cm and 24 cm. What is its area (in square cm)?

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