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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 983 · 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.If a − b = 1 and ab = 2, what is a² + b²?
  2. 2.Use (a + b)(a − b) = a² − b² to find 21 × 19.
  3. 3.What is 17³? =
  4. 4.A trapezium has parallel sides of 18 cm and 7 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  5. 5.Find the compound interest on ₹16000 at 10% per year for 3 years, compounded every year (in ₹).
  6. 6.Use (a − b)² = a² − 2ab + b² to find 93².
  7. 7.A trapezium has parallel sides of 16 cm and 21 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  8. 8.A town has 2200 people. The population grows by 8% every year. What will the population be after 1 year?
  9. 9.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  10. 10.What is ∛3375? =
  11. 11.What is ∛2197? =
  12. 12.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  13. 13.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  14. 14.A father is 28 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  15. 15.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
  16. 16.Solve: p/5 + p/4 = 18. What is p?
  17. 17.What is √1369? =
  18. 18.Solve: 8x + 3 = 3x + 73. What is x?
  19. 19.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  20. 20.What is ∛5832? =
  21. 21.A trapezium has parallel sides of 9 cm and 16 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  22. 22.Use (a + b)² = a² + 2ab + b² to find 41².
  23. 23.A room is 9 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  24. 24.Write 3.2 × 10⁻³ as a decimal. =
  25. 25.A town has 7500 people. The population grows by 12% every year. What will the population be after 2 years?
  26. 26.What is the value of 2³? =
  27. 27.Use (a + b)² = a² + 2ab + b² to find 17².
  28. 28.Use (a − b)² = a² − 2ab + b² to find 79².
  29. 29.The sum of two consecutive whole numbers is 37. What is the largest of them?
  30. 30.Find the compound interest on ₹54800 at 5% per year for 2 years, compounded every year (in ₹).
  31. 31.Find the compound interest on ₹29300 at 4% per year for 1 year, compounded every year (in ₹).
  32. 32.5.2 × 10⁶ =
  33. 33.Find the value of x² − y² when x = 12 and y = 8.
  34. 34.What is 8³? =
  35. 35.A trapezium has parallel sides of 4 cm and 22 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 11 cm and 4 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  37. 37.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  38. 38.Write 9,00,000 in standard form as 9 × 10ⁿ. What is n?
  39. 39.The sum of four consecutive whole numbers is 82. What is the smallest of them?
  40. 40.Solve: y/3 + y/6 = 9. What is y?

Answer key

  1. 5
  2. 399
  3. 4913
  4. 25
  5. 5296
  6. 8649
  7. 333
  8. 2376
  9. 294
  10. 15
  11. 13
  12. 18
  13. 20
  14. 9
  15. 81
  16. 40
  17. 37
  18. 14
  19. 256
  20. 18
  21. 100
  22. 1681
  23. 96
  24. 0.0032
  25. 9408
  26. 8
  27. 289
  28. 6241
  29. 19
  30. 5617
  31. 1172
  32. 5200000
  33. 80
  34. 512
  35. 91
  36. 45
  37. 7
  38. 5
  39. 19
  40. 18

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