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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 4 · 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 15³? =
  2. 2.A scooter is worth ₹44800. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  3. 3.The length of a rectangle is 6 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  4. 4.Use (a + b)² = a² + 2ab + b² to find 36².
  5. 5.What is the difference between the compound interest and the simple interest on ₹37500 at 8% per year for 2 years (in ₹)?
  6. 6.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  7. 7.Solve: 6t + 8 = 5t + 17. What is t?
  8. 8.Find the compound interest on ₹49000 at 10% per year for 3 years, compounded every year (in ₹).
  9. 9.What is the value of 3¹ × 3⁻⁴? =
  10. 10.What is √1089? =
  11. 11.What amount will ₹32500 grow to in 2 years at 4% per year compound interest (in ₹)?
  12. 12.If a + b = 8 and ab = 12, what is a² + b²?
  13. 13.If a + b = 12 and ab = 27, what is a² + b²?
  14. 14.Write 4,400 in standard form as 4.4 × 10ⁿ. What is n?
  15. 15.Use a² − b² = (a + b)(a − b) to find 65² − 52².
  16. 16.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  17. 17.Write 40,000 in standard form as 4 × 10ⁿ. What is n?
  18. 18.What is the difference between the compound interest and the simple interest on ₹48300 at 10% per year for 2 years (in ₹)?
  19. 19.What is the value of 9³? =
  20. 20.What is the value of 2⁵? =
  21. 21.Find the compound interest on ₹40000 at 12% per year for 2 years, compounded every year (in ₹).
  22. 22.What is the value of 10⁻³ (as a fraction)? =
  23. 23.What is the difference between the compound interest and the simple interest on ₹32500 at 4% per year for 2 years (in ₹)?
  24. 24.Write 64,000 in standard form as 6.4 × 10ⁿ. What is n?
  25. 25.Which of these is a perfect square? (a) 646 (b) 675 (c) 625
  26. 26.Write 4.4 × 10⁻³ as a decimal. =
  27. 27.A square garden has an area of 121 square m. How long is each side (in m)?
  28. 28.A square garden has an area of 361 square m. How long is each side (in m)?
  29. 29.Which of these is a perfect square? (a) 686 (b) 699 (c) 676
  30. 30.What is the difference between the compound interest and the simple interest on ₹39600 at 15% per year for 2 years (in ₹)?
  31. 31.What amount will ₹27200 grow to in 3 years at 25% per year compound interest (in ₹)?
  32. 32.How many whole numbers lie between 48² and 49²?
  33. 33.What is √5041? =
  34. 34.If a − b = 5 and ab = 6, what is a² + b²?
  35. 35.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.What is ∛15625? =
  37. 37.Solve: 6p + 1 = 4p + 17. What is p?
  38. 38.Write 3,00,00,000 in standard form as 3 × 10ⁿ. What is n?
  39. 39.Find the value of x² − 2xy + y² when x = 4 and y = 3.
  40. 40.Use a² − b² = (a + b)(a − b) to find 40² − 26².

Answer key

  1. 3375
  2. 18900
  3. 19
  4. 1296
  5. 240
  6. 121
  7. 9
  8. 16219
  9. 1/27
  10. 33
  11. 35152
  12. 40
  13. 90
  14. 3
  15. 1521
  16. 4
  17. 4
  18. 483
  19. 729
  20. 32
  21. 10176
  22. 1/1000
  23. 52
  24. 4
  25. 625
  26. 0.0044
  27. 11
  28. 19
  29. 676
  30. 891
  31. 53125
  32. 96
  33. 71
  34. 37
  35. 80
  36. 25
  37. 8
  38. 7
  39. 1
  40. 924

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