Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 576 · 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.A scooter is worth ₹32000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
2. 2.A square garden has an area of 441 square m. How long is each side (in m)?
3. 3.If a + b = 12 and ab = 35, what is a² + b²?
4. 4.Which of these is a perfect square? (a) 961 (b) 996 (c) 1012
5. 5.The diagonals of a rhombus are 4 cm and 30 cm. What is its area (in square cm)?
6. 6.What is ∛13824? =
7. 7.Solve: 4n + 7 = 3n + 11. What is n?
8. 8.Solve: 9t + 15 = 2t + 36. What is t?
9. 9.A father is 18 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
10. 10.1.5 × 10⁷ =
11. 11.Solve: 4t + 12 = 2t + 42. What is t?
12. 12.A father is 14 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
13. 13.A cuboid is 3 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
14. 14.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
15. 15.A cuboid is 13 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
16. 16.What is the smallest whole number by which 2 must be divided to get a perfect cube?
17. 17.Use (a + b)(a − b) = a² − b² to find 26 × 14.
18. 18.If a + b = 6 and ab = 5, what is a² + b²?
19. 19.The diagonals of a rhombus are 22 cm and 5 cm. What is its area (in square cm)?
20. 20.Use a² − b² = (a + b)(a − b) to find 54² − 53².
21. 21.What is ∛4096? =
22. 22.Write 2⁹ × 2³ as a single power 2ⁿ. What is n?
23. 23.Solve: 6(m − 3) = 4m + 6. What is m?
24. 24.What is ∛125? =
25. 25.Use (a − b)² = a² − 2ab + b² to find 29².
26. 26.What is the smallest whole number by which 125 must be divided to get a perfect square?
27. 27.A room is 9 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
28. 28.Write 2⁸ × 2⁷ as a single power 2ⁿ. What is n?
29. 29.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
30. 30.A town has 12500 people. The population grows by 12% every year. What will the population be after 2 years?
31. 31.1.6 × 10⁷ =
32. 32.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).
33. 33.A scooter is worth ₹11100. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
34. 34.What is 5³? =
35. 35.Use (a + b)(a − b) = a² − b² to find 24 × 16.
36. 36.How many whole numbers lie between 21² and 22²?
37. 37.Find the value of x² − y² when x = 6 and y = 4.
38. 38.Find the compound interest on ₹8300 at 5% per year for 1 year, compounded every year (in ₹).
39. 39.Write 8.2 × 10⁻³ as a decimal. =
40. 40.Solve: 9t + 11 = 5t + 55. What is t?

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