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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 691 · 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.How many whole numbers lie between 22² and 23²?
  2. 2.What amount will ₹32500 grow to in 1 year at 25% per year compound interest (in ₹)?
  3. 3.Which of these is a perfect cube? (a) 29 (b) 27 (c) 47
  4. 4.Find the value of x² − y² when x = 10 and y = 6.
  5. 5.Use (a + b)(a − b) = a² − b² to find 41 × 39.
  6. 6.How many whole numbers lie between 43² and 44²?
  7. 7.A square garden has an area of 2500 square m. How long is each side (in m)?
  8. 8.Write 6¹¹ ÷ 6⁴ as a single power 6ⁿ. What is n?
  9. 9.Write (6⁶)³ as a single power 6ⁿ. What is n?
  10. 10.A square garden has an area of 64 square m. How long is each side (in m)?
  11. 11.Write (5⁵)⁷ as a single power 5ⁿ. What is n?
  12. 12.Solve: 7p + 7 = 3p + 43. What is p?
  13. 13.What is ∛27? =
  14. 14.What is the smallest whole number by which 44 must be divided to get a perfect square?
  15. 15.The length of a rectangle is 5 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  16. 16.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  17. 17.The sum of two consecutive whole numbers is 29. What is the smallest of them?
  18. 18.What is √7225? =
  19. 19.Use a² − b² = (a + b)(a − b) to find 33² − 18².
  20. 20.The diagonals of a rhombus are 28 cm and 3 cm. What is its area (in square cm)?
  21. 21.What is ∛1000? =
  22. 22.Find the compound interest on ₹4700 at 25% per year for 1 year, compounded every year (in ₹).
  23. 23.What is 20³? =
  24. 24.A town has 12500 people. The population grows by 4% every year. What will the population be after 2 years?
  25. 25.Which of these is a perfect square? (a) 1296 (b) 1336 (c) 1359
  26. 26.Use a² − b² = (a + b)(a − b) to find 36² − 16².
  27. 27.A father is 5 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  28. 28.A trapezium has parallel sides of 16 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  29. 29.What is the smallest whole number by which 896 must be divided to get a perfect square?
  30. 30.The length of a rectangle is 7 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  31. 31.What is 7³? =
  32. 32.Write 7⁹ × 7² as a single power 7ⁿ. What is n?
  33. 33.Use a² − b² = (a + b)(a − b) to find 48² − 31².
  34. 34.Which of these is a perfect square? (a) 529 (b) 554 (c) 570
  35. 35.A square garden has an area of 1600 square m. How long is each side (in m)?
  36. 36.Use a² − b² = (a + b)(a − b) to find 99² − 49².
  37. 37.Solve: n/3 + n/2 = 25. What is n?
  38. 38.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  39. 39.Use (a − b)² = a² − 2ab + b² to find 96².
  40. 40.A trapezium has parallel sides of 11 cm and 18 cm, and the distance between them is 12 cm. What is its area (in square cm)?

Answer key

  1. 44
  2. 40625
  3. 27
  4. 64
  5. 1599
  6. 86
  7. 50
  8. 7
  9. 18
  10. 8
  11. 35
  12. 9
  13. 3
  14. 11
  15. 16
  16. 1014
  17. 14
  18. 85
  19. 765
  20. 42
  21. 10
  22. 1175
  23. 8000
  24. 13520
  25. 1296
  26. 1040
  27. 2
  28. 57
  29. 14
  30. 10
  31. 343
  32. 11
  33. 1343
  34. 529
  35. 40
  36. 7400
  37. 30
  38. 15
  39. 9216
  40. 174

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