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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 481 · 40 sums
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.What amount will ₹3200 grow to in 2 years at 5% per year compound interest (in ₹)?
  2. 2.What amount will ₹43600 grow to in 1 year at 12% per year compound interest (in ₹)?
  3. 3.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 832 must be multiplied to get a perfect square?
  5. 5.Solve: 3n + 7 = 2n + 22. What is n?
  6. 6.What is the value of 6⁻¹ (as a fraction)? =
  7. 7.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.Find the compound interest on ₹20000 at 4% per year for 2 years, compounded every year (in ₹).
  9. 9.Write 4.1 × 10⁻² as a decimal. =
  10. 10.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
  11. 11.A trapezium has an area of 210 square cm. Its parallel sides are 19 cm and 2 cm. What is the distance between them (in cm)?
  12. 12.What is √2916? =
  13. 13.Write 8⁹ × 8⁵ as a single power 8ⁿ. What is n?
  14. 14.Write (3⁹)² as a single power 3ⁿ. What is n?
  15. 15.Write (5⁶)⁸ as a single power 5ⁿ. What is n?
  16. 16.What amount will ₹58400 grow to in 1 year at 8% per year compound interest (in ₹)?
  17. 17.What is the value of 10⁻² (as a fraction)? =
  18. 18.What is √3721? =
  19. 19.Solve: n/6 + n/4 = 15. What is n?
  20. 20.Write 5.1 × 10⁻² as a decimal. =
  21. 21.Write 84,000 in standard form as 8.4 × 10ⁿ. What is n?
  22. 22.What is the difference between the compound interest and the simple interest on ₹16400 at 5% per year for 2 years (in ₹)?
  23. 23.What is ∛125? =
  24. 24.The length of a rectangle is 12 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  25. 25.What is 18³? =
  26. 26.Find the value of x² − 2xy + y² when x = 15 and y = 1.
  27. 27.What is 47²? =
  28. 28.If a + b = 3 and ab = 2, what is a² + b²?
  29. 29.5.8 × 10⁴ =
  30. 30.Which of these is a perfect cube? (a) 1275 (b) 1000 (c) 1216
  31. 31.Which of these is a perfect square? (a) 1318 (b) 1366 (c) 1296
  32. 32.What is ∛27? =
  33. 33.What is ∛13824? =
  34. 34.A scooter is worth ₹27800. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
  35. 35.What is 12³? =
  36. 36.If a − b = 4 and ab = 12, what is a² + b²?
  37. 37.Solve: 9n + 19 = 3n + 43. What is n?
  38. 38.Find the compound interest on ₹51400 at 5% per year for 1 year, compounded every year (in ₹).
  39. 39.Solve: 3x + 8 = x + 36. What is x?
  40. 40.What is the value of 2⁶? =

Answer key

  1. 3528
  2. 48832
  3. 15
  4. 13
  5. 15
  6. 1/6
  7. 27
  8. 1632
  9. 0.041
  10. 81
  11. 20
  12. 54
  13. 14
  14. 18
  15. 48
  16. 63072
  17. 1/100
  18. 61
  19. 36
  20. 0.051
  21. 4
  22. 41
  23. 5
  24. 25
  25. 5832
  26. 196
  27. 2209
  28. 5
  29. 58000
  30. 1000
  31. 1296
  32. 3
  33. 24
  34. 25020
  35. 1728
  36. 40
  37. 4
  38. 2570
  39. 14
  40. 64

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