Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 335 · 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 smallest whole number by which 54 must be divided to get a perfect cube?
2. 2.What is the value of 7⁵? =
3. 3.A cuboid is 6 cm long, 6 cm wide and 3 cm high. What is its total surface area (in square cm)?
4. 4.Which of these is a perfect square? (a) 659 (b) 625 (c) 655
5. 5.What amount will ₹24000 grow to in 3 years at 5% per year compound interest (in ₹)?
6. 6.Use (a + b)(a − b) = a² − b² to find 66 × 54.
7. 7.Find the compound interest on ₹17600 at 20% per year for 2 years, compounded every year (in ₹).
8. 8.If a + b = 12 and ab = 32, what is a² + b²?
9. 9.Solve: 3(x − 2) = x + 2. What is x?
10. 10.A trapezium has an area of 264 square cm. Its parallel sides are 19 cm and 14 cm. What is the distance between them (in cm)?
11. 11.A town has 21100 people. The population grows by 5% every year. What will the population be after 1 year?
12. 12.Solve: 3(x − 1) = 2x + 1. What is x?
13. 13.What is ∛8? =
14. 14.A scooter is worth ₹11700. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
15. 15.What is √2500? =
16. 16.What is the value of 5⁵ × 5⁻⁶? =
17. 17.What is the value of 2⁴ × 2⁻⁴? =
18. 18.What is the value of 6⁶? =
19. 19.What is √3025? =
20. 20.Use a² − b² = (a + b)(a − b) to find 87² − 1².
21. 21.What is the difference between the compound interest and the simple interest on ₹25000 at 8% per year for 2 years (in ₹)?
22. 22.A square garden has an area of 900 square m. How long is each side (in m)?
23. 23.What is the value of 8⁻³ (as a fraction)? =
24. 24.Solve: 5(n − 3) = n + 17. What is n?
25. 25.Use a² − b² = (a + b)(a − b) to find 39² − 34².
26. 26.What amount will ₹53400 grow to in 1 year at 15% per year compound interest (in ₹)?
27. 27.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
28. 28.What is √1156? =
29. 29.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
30. 30.What is 7³? =
31. 31.What is the value of (7/9)⁻¹? =
32. 32.A square garden has an area of 324 square m. How long is each side (in m)?
33. 33.A cuboid is 11 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
34. 34.The sum of two consecutive whole numbers is 31. What is the smallest of them?
35. 35.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
36. 36.A scooter is worth ₹37500. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
37. 37.What amount will ₹29500 grow to in 3 years at 20% per year compound interest (in ₹)?
38. 38.Write 50,00,000 in standard form as 5 × 10ⁿ. What is n?
39. 39.Write 86,000 in standard form as 8.6 × 10ⁿ. What is n?
40. 40.Use (a − b)² = a² − 2ab + b² to find 23².

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