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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 454 · 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 is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  2. 2.Which of these is a perfect cube? (a) 297 (b) 216 (c) 233
  3. 3.A square garden has an area of 2116 square m. How long is each side (in m)?
  4. 4.A father is 4 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  5. 5.What is the value of 3¹ × 3⁻²? =
  6. 6.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  7. 7.Find the compound interest on ₹52800 at 5% per year for 2 years, compounded every year (in ₹).
  8. 8.Write 6.4 × 10⁻³ as a decimal. =
  9. 9.What is the smallest whole number by which 80 must be multiplied to get a perfect square?
  10. 10.How many whole numbers lie between 9² and 10²?
  11. 11.If a − b = 1 and ab = 30, what is a² + b²?
  12. 12.What amount will ₹17600 grow to in 3 years at 25% per year compound interest (in ₹)?
  13. 13.What is 13³? =
  14. 14.The length of a rectangle is 7 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  15. 15.Write 2⁴ × 2² as a single power 2ⁿ. What is n?
  16. 16.What is the value of (7/8)⁻²? =
  17. 17.What is 24²? =
  18. 18.What is √900? =
  19. 19.Write (9⁶)³ as a single power 9ⁿ. What is n?
  20. 20.Which of these is a perfect cube? (a) 30 (b) 34 (c) 27
  21. 21.What is 77²? =
  22. 22.What is 81²? =
  23. 23.Use (a + b)² = a² + 2ab + b² to find 32².
  24. 24.Write 6⁸ × 6⁷ as a single power 6ⁿ. What is n?
  25. 25.What is ∛216? =
  26. 26.What is the difference between the compound interest and the simple interest on ₹18200 at 20% per year for 2 years (in ₹)?
  27. 27.Which of these is a perfect square? (a) 316 (b) 314 (c) 289
  28. 28.A square garden has an area of 1444 square m. How long is each side (in m)?
  29. 29.What is the difference between the compound interest and the simple interest on ₹34800 at 25% per year for 2 years (in ₹)?
  30. 30.7.4 × 10⁷ =
  31. 31.Solve: 5m + 14 = 3m + 38. What is m?
  32. 32.If a − b = 1 and ab = 2, what is a² + b²?
  33. 33.The sum of three consecutive whole numbers is 135. What is the largest of them?
  34. 34.A scooter is worth ₹41000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  35. 35.What is the value of 5⁴? =
  36. 36.Which of these is a perfect cube? (a) 1271 (b) 1053 (c) 1000
  37. 37.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  38. 38.The sum of three consecutive whole numbers is 180. What is the smallest of them?
  39. 39.The diagonals of a rhombus are 14 cm and 26 cm. What is its area (in square cm)?
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 25
  2. 216
  3. 46
  4. 2
  5. 1/3
  6. 5
  7. 5412
  8. 0.0064
  9. 5
  10. 18
  11. 61
  12. 34375
  13. 2197
  14. 3
  15. 6
  16. 64/49
  17. 576
  18. 30
  19. 18
  20. 27
  21. 5929
  22. 6561
  23. 1024
  24. 15
  25. 6
  26. 728
  27. 289
  28. 38
  29. 2175
  30. 74000000
  31. 12
  32. 5
  33. 46
  34. 20992
  35. 625
  36. 1000
  37. 2166
  38. 59
  39. 182
  40. 8

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