Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 404 · 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 2³? =
2. 2.What is the value of 3³ × 3⁻⁴? =
3. 3.A father is 15 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
4. 4.If a − b = 1 and ab = 72, what is a² + b²?
5. 5.Use a² − b² = (a + b)(a − b) to find 40² − 34².
6. 6.A square garden has an area of 1024 square m. How long is each side (in m)?
7. 7.If a − b = 2 and ab = 3, what is a² + b²?
8. 8.Which of these is a perfect cube? (a) 2197 (b) 2211 (c) 2628
9. 9.A cuboid is 6 cm long, 8 cm wide and 8 cm high. What is its total surface area (in square cm)?
10. 10.Use a² − b² = (a + b)(a − b) to find 80² − 42².
11. 11.A town has 15200 people. The population grows by 25% every year. What will the population be after 2 years?
12. 12.How many whole numbers lie between 7² and 8²?
13. 13.A square garden has an area of 1521 square m. How long is each side (in m)?
14. 14.Use (a + b)(a − b) = a² − b² to find 103 × 97.
15. 15.A town has 55300 people. The population grows by 10% every year. What will the population be after 1 year?
16. 16.Write 5⁶ ÷ 5⁴ as a single power 5ⁿ. What is n?
17. 17.What amount will ₹37000 grow to in 3 years at 10% per year compound interest (in ₹)?
18. 18.What is the value of 9²? =
19. 19.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
20. 20.What is ∛4096? =
21. 21.Write (6⁸)⁸ as a single power 6ⁿ. What is n?
22. 22.Use (a + b)(a − b) = a² − b² to find 53 × 47.
23. 23.The length of a rectangle is 13 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
24. 24.What is the smallest whole number by which 320 must be divided to get a perfect cube?
25. 25.Solve: 5(t − 5) = t + 15. What is t?
26. 26.Find the compound interest on ₹28800 at 25% per year for 3 years, compounded every year (in ₹).
27. 27.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
28. 28.What is the smallest whole number by which 250 must be multiplied to get a perfect square?
29. 29.What is 3³? =
30. 30.What is the value of 2⁻⁶ (as a fraction)? =
31. 31.A scooter is worth ₹46400. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
32. 32.What is 16³? =
33. 33.Find the value of x² − 2xy + y² when x = 12 and y = 2.
34. 34.A cuboid is 13 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
35. 35.A trapezium has an area of 133 square cm. Its parallel sides are 10 cm and 9 cm. What is the distance between them (in cm)?
36. 36.Use (a + b)(a − b) = a² − b² to find 28 × 12.
37. 37.Use (a − b)² = a² − 2ab + b² to find 51².
38. 38.Write 1.3 × 10⁻³ as a decimal. =
39. 39.Use (a + b)² = a² + 2ab + b² to find 26².
40. 40.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?

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