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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 341 · 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.Solve: 9p + 11 = 4p + 66. What is p?
  2. 2.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  3. 3.2.5 × 10⁶ =
  4. 4.What is the value of 4⁵? =
  5. 5.A trapezium has parallel sides of 15 cm and 23 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  6. 6.What is the value of (3/8)⁻¹? =
  7. 7.What amount will ₹7100 grow to in 1 year at 10% per year compound interest (in ₹)?
  8. 8.Write 2⁴ ÷ 2² as a single power 2ⁿ. What is n?
  9. 9.Solve: 7y + 14 = 5y + 24. What is y?
  10. 10.What is the value of 2⁵? =
  11. 11.What is ∛1331? =
  12. 12.A square garden has an area of 1681 square m. How long is each side (in m)?
  13. 13.What is 24²? =
  14. 14.Which of these is a perfect square? (a) 121 (b) 136 (c) 133
  15. 15.The diagonals of a rhombus are 8 cm and 6 cm. What is its area (in square cm)?
  16. 16.If a − b = 9 and ab = 22, what is a² + b²?
  17. 17.What is ∛1000? =
  18. 18.Solve: y/3 + y/2 = 5. What is y?
  19. 19.What is √529? =
  20. 20.The sum of two consecutive whole numbers is 89. What is the largest of them?
  21. 21.Use a² − b² = (a + b)(a − b) to find 62² − 1².
  22. 22.Solve: 3m + 8 = 2m + 15. What is m?
  23. 23.A square garden has an area of 1024 square m. How long is each side (in m)?
  24. 24.What is the value of (5/6)⁻²? =
  25. 25.The sum of two consecutive whole numbers is 33. What is the largest of them?
  26. 26.What is 5³? =
  27. 27.What is the smallest whole number by which 8 must be divided to get a perfect square?
  28. 28.What is 81²? =
  29. 29.A cuboid is 15 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
  30. 30.Find the compound interest on ₹22100 at 8% per year for 1 year, compounded every year (in ₹).
  31. 31.What is the value of 10⁴ × 10⁻⁴? =
  32. 32.A father is 18 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  33. 33.Which of these is a perfect square? (a) 344 (b) 342 (c) 324
  34. 34.Write (4⁶)³ as a single power 4ⁿ. What is n?
  35. 35.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  36. 36.If a − b = 8 and ab = 9, what is a² + b²?
  37. 37.Use (a + b)² = a² + 2ab + b² to find 11².
  38. 38.Which of these is a perfect square? (a) 206 (b) 196 (c) 211
  39. 39.Find the compound interest on ₹37500 at 12% per year for 2 years, compounded every year (in ₹).
  40. 40.A cuboid is 5 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?

Answer key

  1. 11
  2. 4
  3. 2500000
  4. 1024
  5. 304
  6. 8/3
  7. 7810
  8. 2
  9. 5
  10. 32
  11. 11
  12. 41
  13. 576
  14. 121
  15. 24
  16. 125
  17. 10
  18. 6
  19. 23
  20. 45
  21. 3843
  22. 7
  23. 32
  24. 36/25
  25. 17
  26. 125
  27. 2
  28. 6561
  29. 746
  30. 1768
  31. 1
  32. 2
  33. 324
  34. 18
  35. 169
  36. 82
  37. 121
  38. 196
  39. 9540
  40. 370

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