Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 760 · 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 8²? =
2. 2.Write 3.8 × 10⁻¹ as a decimal. =
3. 3.A scooter is worth ₹44800. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
4. 4.Use (a + b)² = a² + 2ab + b² to find 73².
5. 5.If a + b = 9 and ab = 14, what is a² + b²?
6. 6.Find the compound interest on ₹18500 at 20% per year for 3 years, compounded every year (in ₹).
7. 7.Write 2¹⁰ ÷ 2² as a single power 2ⁿ. What is n?
8. 8.Use a² − b² = (a + b)(a − b) to find 95² − 71².
9. 9.Use (a + b)(a − b) = a² − b² to find 72 × 68.
10. 10.The length of a rectangle is 12 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
11. 11.What is 84²? =
12. 12.What is ∛5832? =
13. 13.What is 11²? =
14. 14.What is the smallest whole number by which 192 must be multiplied to get a perfect square?
15. 15.Use (a + b)² = a² + 2ab + b² to find 84².
16. 16.A father is 28 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
17. 17.A cuboid is 6 cm long, 12 cm wide and 10 cm high. What is its total surface area (in square cm)?
18. 18.What is the value of 4³? =
19. 19.1.6 × 10⁶ =
20. 20.Use (a + b)² = a² + 2ab + b² to find 18².
21. 21.The diagonals of a rhombus are 24 cm and 7 cm. What is its area (in square cm)?
22. 22.How many whole numbers lie between 5² and 6²?
23. 23.What is the difference between the compound interest and the simple interest on ₹15200 at 20% per year for 2 years (in ₹)?
24. 24.Solve: 6(x − 3) = 2x + 30. What is x?
25. 25.Use (a + b)(a − b) = a² − b² to find 87 × 73.
26. 26.What is 11³? =
27. 27.A father is 14 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
28. 28.A town has 12800 people. The population grows by 25% every year. What will the population be after 2 years?
29. 29.Write (5⁵)² as a single power 5ⁿ. What is n?
30. 30.Solve: t/2 + t/3 = 20. What is t?
31. 31.Find the value of x² − y² when x = 8 and y = 4.
32. 32.7.9 × 10⁶ =
33. 33.Write 3² × 3⁶ as a single power 3ⁿ. What is n?
34. 34.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
35. 35.Use (a + b)(a − b) = a² − b² to find 96 × 84.
36. 36.Write 9¹³ ÷ 9⁹ as a single power 9ⁿ. What is n?
37. 37.If a − b = 10 and ab = 24, what is a² + b²?
38. 38.Use (a − b)² = a² − 2ab + b² to find 48².
39. 39.What is the value of 7⁻³ (as a fraction)? =
40. 40.The diagonals of a rhombus are 20 cm and 18 cm. What is its area (in square cm)?

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