Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 129 · 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.Solve: 5(t − 4) = 4t + 8. What is t?
2. 2.What is 30²? =
3. 3.What is the smallest whole number by which 49 must be divided to get a perfect cube?
4. 4.The diagonals of a rhombus are 4 cm and 16 cm. What is its area (in square cm)?
5. 5.What amount will ₹16000 grow to in 3 years at 15% per year compound interest (in ₹)?
6. 6.A scooter is worth ₹48000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
7. 7.How many whole numbers lie between 9² and 10²?
8. 8.What is the difference between the compound interest and the simple interest on ₹10000 at 5% per year for 2 years (in ₹)?
9. 9.Use (a − b)² = a² − 2ab + b² to find 59².
10. 10.Use a² − b² = (a + b)(a − b) to find 82² − 52².
11. 11.Write 8⁴ × 8⁹ as a single power 8ⁿ. What is n?
12. 12.Use a² − b² = (a + b)(a − b) to find 21² − 2².
13. 13.Which of these is a perfect cube? (a) 2017 (b) 1728 (c) 1748
14. 14.Write 8⁹ ÷ 8⁴ as a single power 8ⁿ. What is n?
15. 15.A town has 57200 people. The population grows by 20% every year. What will the population be after 1 year?
16. 16.What is ∛343? =
17. 17.Use (a + b)² = a² + 2ab + b² to find 44².
18. 18.What amount will ₹8000 grow to in 3 years at 25% per year compound interest (in ₹)?
19. 19.What is ∛3375? =
20. 20.What is the value of (1/9)⁻¹? =
21. 21.A cuboid is 5 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
22. 22.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
23. 23.The length of a rectangle is 10 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
24. 24.Use (a + b)(a − b) = a² − b² to find 39 × 21.
25. 25.A trapezium has an area of 96 square cm. Its parallel sides are 11 cm and 5 cm. What is the distance between them (in cm)?
26. 26.What is the value of (4/9)⁻¹? =
27. 27.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
28. 28.What is 3³? =
29. 29.Write 5¹⁸ ÷ 5⁹ as a single power 5ⁿ. What is n?
30. 30.Which of these is a perfect square? (a) 971 (b) 975 (c) 961
31. 31.A cuboid is 15 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
32. 32.A father is 18 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
33. 33.Solve: 7y + 9 = 3y + 61. What is y?
34. 34.Solve: 3(y − 3) = y + 7. What is y?
35. 35.What is the difference between the compound interest and the simple interest on ₹40000 at 4% per year for 2 years (in ₹)?
36. 36.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
37. 37.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
38. 38.What is the value of 6⁻³ (as a fraction)? =
39. 39.A trapezium has an area of 30 square cm. Its parallel sides are 11 cm and 4 cm. What is the distance between them (in cm)?
40. 40.Use (a + b)² = a² + 2ab + b² to find 77².

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