Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 714 · 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 5³ × 5⁻¹? =
2. 2.What is ∛9261? =
3. 3.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
4. 4.Find the compound interest on ₹32500 at 5% per year for 1 year, compounded every year (in ₹).
5. 5.What is the value of 3⁷? =
6. 6.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
7. 7.A trapezium has parallel sides of 25 cm and 6 cm, and the distance between them is 10 cm. What is its area (in square cm)?
8. 8.What is the difference between the compound interest and the simple interest on ₹40800 at 5% per year for 2 years (in ₹)?
9. 9.What is ∛2744? =
10. 10.A room is 4 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
11. 11.What amount will ₹24200 grow to in 1 year at 4% per year compound interest (in ₹)?
12. 12.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
13. 13.A town has 15600 people. The population grows by 20% every year. What will the population be after 1 year?
14. 14.Use (a + b)² = a² + 2ab + b² to find 12².
15. 15.The length of a rectangle is 8 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
16. 16.Write 6.3 × 10⁻⁴ as a decimal. =
17. 17.Use (a + b)(a − b) = a² − b² to find 51 × 49.
18. 18.Use (a + b)² = a² + 2ab + b² to find 73².
19. 19.Use (a − b)² = a² − 2ab + b² to find 79².
20. 20.What is 44²? =
21. 21.A town has 56500 people. The population grows by 10% every year. What will the population be after 1 year?
22. 22.Solve: 6(y − 4) = 3y + 3. What is y?
23. 23.What is 14³? =
24. 24.What is 65²? =
25. 25.What is the difference between the compound interest and the simple interest on ₹8000 at 5% per year for 2 years (in ₹)?
26. 26.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
27. 27.What is the difference between the compound interest and the simple interest on ₹10400 at 20% per year for 2 years (in ₹)?
28. 28.If a + b = 14 and ab = 40, what is a² + b²?
29. 29.What amount will ₹16900 grow to in 1 year at 25% per year compound interest (in ₹)?
30. 30.Which of these is a perfect cube? (a) 182 (b) 162 (c) 125
31. 31.Find the value of x² + 2xy + y² when x = 12 and y = 11.
32. 32.What is ∛64? =
33. 33.Use (a + b)² = a² + 2ab + b² to find 77².
34. 34.What is the value of (5/6)⁻¹? =
35. 35.How many whole numbers lie between 7² and 8²?
36. 36.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
37. 37.A father is 27 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
38. 38.What is the difference between the compound interest and the simple interest on ₹18400 at 5% per year for 2 years (in ₹)?
39. 39.Which of these is a perfect cube? (a) 3877 (b) 4031 (c) 3375
40. 40.What amount will ₹24000 grow to in 3 years at 25% per year compound interest (in ₹)?

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