Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 846 · 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 smallest whole number by which 320 must be multiplied to get a perfect cube?
2. 2.What is the smallest whole number by which 52 must be divided to get a perfect square?
3. 3.What is the value of 5⁻⁴ (as a fraction)? =
4. 4.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
5. 5.A trapezium has an area of 36 square cm. Its parallel sides are 6 cm and 2 cm. What is the distance between them (in cm)?
6. 6.Use a² − b² = (a + b)(a − b) to find 45² − 31².
7. 7.Find the compound interest on ₹33600 at 10% per year for 2 years, compounded every year (in ₹).
8. 8.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
9. 9.A square garden has an area of 121 square m. How long is each side (in m)?
10. 10.What is 78²? =
11. 11.Use (a + b)² = a² + 2ab + b² to find 35².
12. 12.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
13. 13.A town has 16000 people. The population grows by 10% every year. What will the population be after 3 years?
14. 14.Solve: 8t + 3 = 6t + 9. What is t?
15. 15.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
16. 16.What is √3481? =
17. 17.Use (a + b)² = a² + 2ab + b² to find 13².
18. 18.Find the compound interest on ₹10000 at 4% per year for 2 years, compounded every year (in ₹).
19. 19.Find the value of x² − 2xy + y² when x = 13 and y = 4.
20. 20.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
21. 21.What is 13³? =
22. 22.What is √1369? =
23. 23.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
24. 24.The diagonals of a rhombus are 30 cm and 12 cm. What is its area (in square cm)?
25. 25.What is 8³? =
26. 26.Find the compound interest on ₹2000 at 25% per year for 1 year, compounded every year (in ₹).
27. 27.Use a² − b² = (a + b)(a − b) to find 50² − 23².
28. 28.Find the compound interest on ₹12500 at 8% per year for 2 years, compounded every year (in ₹).
29. 29.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
30. 30.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
31. 31.A cuboid is 11 cm long, 10 cm wide and 6 cm high. What is its total surface area (in square cm)?
32. 32.Use a² − b² = (a + b)(a − b) to find 62² − 24².
33. 33.What amount will ₹49100 grow to in 1 year at 15% per year compound interest (in ₹)?
34. 34.Use a² − b² = (a + b)(a − b) to find 25² − 20².
35. 35.What is the value of 5¹ × 5⁻⁵? =
36. 36.A town has 34800 people. The population grows by 20% every year. What will the population be after 2 years?
37. 37.What is the smallest whole number by which 350 must be multiplied to get a perfect square?
38. 38.What is the value of 3³ × 3⁻³? =
39. 39.A father is 13 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
40. 40.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?

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