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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 231 · 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.Find the compound interest on ₹16200 at 8% per year for 1 year, compounded every year (in ₹).
  2. 2.What is the difference between the compound interest and the simple interest on ₹37500 at 12% per year for 2 years (in ₹)?
  3. 3.A trapezium has an area of 35 square cm. Its parallel sides are 28 cm and 7 cm. What is the distance between them (in cm)?
  4. 4.A trapezium has an area of 117 square cm. Its parallel sides are 16 cm and 2 cm. What is the distance between them (in cm)?
  5. 5.Solve: n/2 + n/4 = 9. What is n?
  6. 6.Use (a + b)² = a² + 2ab + b² to find 42².
  7. 7.Write 2² × 2⁴ as a single power 2ⁿ. What is n?
  8. 8.What is the value of 3⁶ × 3⁻¹? =
  9. 9.A trapezium has an area of 252 square cm. Its parallel sides are 25 cm and 17 cm. What is the distance between them (in cm)?
  10. 10.A father is 9 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 amount will ₹20000 grow to in 2 years at 4% per year compound interest (in ₹)?
  12. 12.Which of these is a perfect square? (a) 105 (b) 100 (c) 118
  13. 13.What is the smallest whole number by which 54 must be multiplied to get a perfect square?
  14. 14.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  15. 15.A square garden has an area of 2500 square m. How long is each side (in m)?
  16. 16.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
  17. 17.What is the value of 6⁵? =
  18. 18.Use (a + b)² = a² + 2ab + b² to find 95².
  19. 19.Solve: 6(y − 3) = 4y + 26. What is y?
  20. 20.Use (a + b)² = a² + 2ab + b² to find 17².
  21. 21.Which of these is a perfect square? (a) 121 (b) 127 (c) 126
  22. 22.Which of these is a perfect square? (a) 1283 (b) 1225 (c) 1256
  23. 23.Use (a − b)² = a² − 2ab + b² to find 45².
  24. 24.What is the difference between the compound interest and the simple interest on ₹5600 at 5% per year for 2 years (in ₹)?
  25. 25.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  26. 26.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  27. 27.What is ∛1000? =
  28. 28.What is √4489? =
  29. 29.If a + b = 16 and ab = 55, what is a² + b²?
  30. 30.What is 3³? =
  31. 31.Find the value of x² + 2xy + y² when x = 15 and y = 7.
  32. 32.What is the smallest whole number by which 208 must be divided to get a perfect square?
  33. 33.What amount will ₹10000 grow to in 3 years at 10% per year compound interest (in ₹)?
  34. 34.1.4 × 10⁴ =
  35. 35.Solve: 8n + 16 = 5n + 31. What is n?
  36. 36.Solve: 4(n − 3) = 2n + 8. What is n?
  37. 37.Write 1.7 × 10⁻² as a decimal. =
  38. 38.What is the value of 10³? =
  39. 39.The total surface area of a cube is 2166 square cm. How long is each edge (in cm)?
  40. 40.What is 7³? =

Answer key

  1. 1296
  2. 540
  3. 2
  4. 13
  5. 12
  6. 1764
  7. 6
  8. 243
  9. 12
  10. 7
  11. 21632
  12. 100
  13. 6
  14. 5
  15. 50
  16. 361
  17. 7776
  18. 9025
  19. 22
  20. 289
  21. 121
  22. 1225
  23. 2025
  24. 14
  25. 16
  26. 4
  27. 10
  28. 67
  29. 146
  30. 27
  31. 484
  32. 13
  33. 13310
  34. 14000
  35. 5
  36. 10
  37. 0.017
  38. 1000
  39. 19
  40. 343

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