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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 59 · 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.What is 17²? =
  2. 2.What is √5476? =
  3. 3.Find the value of x² − y² when x = 4 and y = 2.
  4. 4.Write 6⁸ × 6⁶ as a single power 6ⁿ. What is n?
  5. 5.What is the value of 2³ × 2⁻⁶? =
  6. 6.A town has 6400 people. The population grows by 25% every year. What will the population be after 3 years?
  7. 7.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  8. 8.A trapezium has parallel sides of 8 cm and 15 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  9. 9.If a + b = 3 and ab = 2, what is a² + b²?
  10. 10.How many whole numbers lie between 21² and 22²?
  11. 11.Write 4⁹ × 4⁶ as a single power 4ⁿ. What is n?
  12. 12.What is the value of 2¹³? =
  13. 13.Solve: 3n + 5 = 2n + 11. What is n?
  14. 14.What is the value of (4/5)⁻¹? =
  15. 15.What is 9³? =
  16. 16.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  18. 18.How many whole numbers lie between 18² and 19²?
  19. 19.What is 28²? =
  20. 20.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  21. 21.Find the compound interest on ₹18300 at 10% per year for 1 year, compounded every year (in ₹).
  22. 22.The diagonals of a rhombus are 24 cm and 4 cm. What is its area (in square cm)?
  23. 23.How many whole numbers lie between 42² and 43²?
  24. 24.What is √3364? =
  25. 25.What amount will ₹52800 grow to in 2 years at 5% per year compound interest (in ₹)?
  26. 26.How many whole numbers lie between 30² and 31²?
  27. 27.Solve: n/6 + n/2 = 12. What is n?
  28. 28.What is √7921? =
  29. 29.A town has 60000 people. The population grows by 25% every year. What will the population be after 1 year?
  30. 30.Which of these is a perfect square? (a) 1473 (b) 1444 (c) 1459
  31. 31.A scooter is worth ₹23100. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  32. 32.What is the value of 2⁻⁶ (as a fraction)? =
  33. 33.What is the value of 5⁴ × 5⁻⁶? =
  34. 34.The sum of two consecutive whole numbers is 97. What is the smallest of them?
  35. 35.A trapezium has parallel sides of 11 cm and 14 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  36. 36.Use (a + b)² = a² + 2ab + b² to find 107².
  37. 37.What is 38²? =
  38. 38.A trapezium has an area of 242 square cm. Its parallel sides are 30 cm and 14 cm. What is the distance between them (in cm)?
  39. 39.What is the difference between the compound interest and the simple interest on ₹55500 at 10% per year for 2 years (in ₹)?
  40. 40.What is the value of 5⁷? =

Answer key

  1. 289
  2. 74
  3. 12
  4. 14
  5. 1/8
  6. 12500
  7. 5
  8. 46
  9. 5
  10. 42
  11. 15
  12. 8192
  13. 6
  14. 5/4
  15. 729
  16. 27
  17. 3
  18. 36
  19. 784
  20. 4
  21. 1830
  22. 48
  23. 84
  24. 58
  25. 58212
  26. 60
  27. 18
  28. 89
  29. 75000
  30. 1444
  31. 18480
  32. 1/64
  33. 1/25
  34. 48
  35. 50
  36. 11449
  37. 1444
  38. 11
  39. 555
  40. 78125

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