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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 236 · 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.How many whole numbers lie between 39² and 40²?
  2. 2.Solve: 4y + 12 = 2y + 30. What is y?
  3. 3.7.9 × 10⁷ =
  4. 4.What is 2³? =
  5. 5.The sum of three consecutive whole numbers is 96. What is the smallest of them?
  6. 6.What is the value of 10⁴? =
  7. 7.Find the compound interest on ₹48500 at 25% per year for 1 year, compounded every year (in ₹).
  8. 8.A trapezium has an area of 378 square cm. Its parallel sides are 30 cm and 24 cm. What is the distance between them (in cm)?
  9. 9.Solve: y/4 + y/3 = 49. What is y?
  10. 10.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  11. 11.What is the smallest whole number by which 135 must be multiplied to get a perfect square?
  12. 12.What is 3³? =
  13. 13.What is the value of 2⁴? =
  14. 14.A cuboid is 5 cm long, 7 cm wide and 3 cm high. What is its total surface area (in square cm)?
  15. 15.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
  16. 16.Find the compound interest on ₹19200 at 5% per year for 2 years, compounded every year (in ₹).
  17. 17.What is the smallest whole number by which 128 must be divided to get a perfect square?
  18. 18.Write 7¹³ ÷ 7⁷ as a single power 7ⁿ. What is n?
  19. 19.Use (a − b)² = a² − 2ab + b² to find 71².
  20. 20.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  21. 21.Write (6⁶)² as a single power 6ⁿ. What is n?
  22. 22.What is the value of 2⁵ × 2⁻³? =
  23. 23.What is √5625? =
  24. 24.Find the compound interest on ₹58500 at 8% per year for 1 year, compounded every year (in ₹).
  25. 25.What is 13³? =
  26. 26.A trapezium has an area of 24 square cm. Its parallel sides are 8 cm and 4 cm. What is the distance between them (in cm)?
  27. 27.A cuboid is 4 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  28. 28.Use (a + b)(a − b) = a² − b² to find 41 × 39.
  29. 29.8.9 × 10⁶ =
  30. 30.A trapezium has an area of 270 square cm. Its parallel sides are 10 cm and 17 cm. What is the distance between them (in cm)?
  31. 31.What is the value of 10²? =
  32. 32.What amount will ₹16400 grow to in 2 years at 20% per year compound interest (in ₹)?
  33. 33.What is the value of (4/9)⁻¹? =
  34. 34.What is the difference between the compound interest and the simple interest on ₹55000 at 4% per year for 2 years (in ₹)?
  35. 35.Find the compound interest on ₹15000 at 10% per year for 3 years, compounded every year (in ₹).
  36. 36.Use (a + b)² = a² + 2ab + b² to find 44².
  37. 37.Find the compound interest on ₹30500 at 15% per year for 1 year, compounded every year (in ₹).
  38. 38.Solve: n/3 + n/2 = 35. What is n?
  39. 39.Use a² − b² = (a + b)(a − b) to find 71² − 53².
  40. 40.Which of these is a perfect square? (a) 1382 (b) 1429 (c) 1369

Answer key

  1. 78
  2. 9
  3. 79000000
  4. 8
  5. 31
  6. 10000
  7. 12125
  8. 14
  9. 84
  10. 4
  11. 15
  12. 27
  13. 16
  14. 142
  15. 5
  16. 1968
  17. 2
  18. 6
  19. 5041
  20. 3
  21. 12
  22. 4
  23. 75
  24. 4680
  25. 2197
  26. 4
  27. 108
  28. 1599
  29. 8900000
  30. 20
  31. 100
  32. 23616
  33. 9/4
  34. 88
  35. 4965
  36. 1936
  37. 4575
  38. 42
  39. 2232
  40. 1369

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