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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 214 · 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.A town has 21400 people. The population grows by 10% every year. What will the population be after 2 years?
  2. 2.How many whole numbers lie between 33² and 34²?
  3. 3.If a + b = 11 and ab = 28, what is a² + b²?
  4. 4.What is the value of 8⁻¹ (as a fraction)? =
  5. 5.Use (a + b)² = a² + 2ab + b² to find 36².
  6. 6.Solve: t/2 + t/4 = 21. What is t?
  7. 7.What amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
  8. 8.Solve: 5(y − 2) = 4y + 10. What is y?
  9. 9.What is the value of 9⁴? =
  10. 10.Use a² − b² = (a + b)(a − b) to find 58² − 22².
  11. 11.Write 7.6 × 10⁻³ as a decimal. =
  12. 12.Find the compound interest on ₹45000 at 8% per year for 2 years, compounded every year (in ₹).
  13. 13.What is the value of 3⁵ × 3⁻⁴? =
  14. 14.Solve: 3(x − 4) = 2x + 6. What is x?
  15. 15.Use (a − b)² = a² − 2ab + b² to find 67².
  16. 16.Solve: 5(n − 2) = 2n + 11. What is n?
  17. 17.What is 10³? =
  18. 18.What amount will ₹25100 grow to in 1 year at 12% per year compound interest (in ₹)?
  19. 19.What amount will ₹47000 grow to in 1 year at 12% per year compound interest (in ₹)?
  20. 20.A trapezium has an area of 48 square cm. Its parallel sides are 13 cm and 11 cm. What is the distance between them (in cm)?
  21. 21.The sum of three consecutive whole numbers is 171. What is the smallest of them?
  22. 22.Use (a + b)² = a² + 2ab + b² to find 71².
  23. 23.How many whole numbers lie between 13² and 14²?
  24. 24.What amount will ₹12900 grow to in 2 years at 10% per year compound interest (in ₹)?
  25. 25.Use (a − b)² = a² − 2ab + b² to find 91².
  26. 26.Find the compound interest on ₹38400 at 20% per year for 2 years, compounded every year (in ₹).
  27. 27.What is 38²? =
  28. 28.What is 18³? =
  29. 29.Write 6⁸ × 6⁴ as a single power 6ⁿ. What is n?
  30. 30.Find the compound interest on ₹40000 at 5% per year for 3 years, compounded every year (in ₹).
  31. 31.What amount will ₹18500 grow to in 3 years at 20% per year compound interest (in ₹)?
  32. 32.Solve: 5y + 16 = 4y + 19. What is y?
  33. 33.What is the value of 2⁻¹ (as a fraction)? =
  34. 34.Solve: 6(p − 5) = 3p + 12. What is p?
  35. 35.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  36. 36.Which of these is a perfect square? (a) 332 (b) 343 (c) 324
  37. 37.Use (a + b)² = a² + 2ab + b² to find 27².
  38. 38.Find the value of x² − y² when x = 7 and y = 2.
  39. 39.A father is 24 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  40. 40.Find the compound interest on ₹17500 at 4% per year for 2 years, compounded every year (in ₹).

Answer key

  1. 25894
  2. 66
  3. 65
  4. 1/8
  5. 1296
  6. 28
  7. 85169
  8. 20
  9. 6561
  10. 2880
  11. 0.0076
  12. 7488
  13. 3
  14. 18
  15. 4489
  16. 7
  17. 1000
  18. 28112
  19. 52640
  20. 4
  21. 56
  22. 5041
  23. 26
  24. 15609
  25. 8281
  26. 16896
  27. 1444
  28. 5832
  29. 12
  30. 6305
  31. 31968
  32. 3
  33. 1/2
  34. 14
  35. 16
  36. 324
  37. 729
  38. 45
  39. 3
  40. 1428

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