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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 666 · 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 √1849? =
  2. 2.What is 20³? =
  3. 3.Solve: 3(n − 3) = n + 21. What is n?
  4. 4.The sum of three consecutive whole numbers is 60. What is the smallest of them?
  5. 5.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is √2704? =
  7. 7.What is the value of 5⁷? =
  8. 8.A trapezium has an area of 65 square cm. Its parallel sides are 7 cm and 6 cm. What is the distance between them (in cm)?
  9. 9.Use (a + b)² = a² + 2ab + b² to find 95².
  10. 10.What is the value of 2⁴ × 2⁻¹? =
  11. 11.A father is 42 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  12. 12.Which of these is a perfect cube? (a) 27 (b) 46 (c) 44
  13. 13.The sum of three consecutive whole numbers is 156. What is the smallest of them?
  14. 14.What is √3721? =
  15. 15.Use (a + b)² = a² + 2ab + b² to find 51².
  16. 16.Use (a + b)(a − b) = a² − b² to find 31 × 29.
  17. 17.A trapezium has an area of 102 square cm. Its parallel sides are 15 cm and 19 cm. What is the distance between them (in cm)?
  18. 18.What is the value of 3¹ × 3⁻⁶? =
  19. 19.Find the value of x² − y² when x = 9 and y = 6.
  20. 20.What is ∛4096? =
  21. 21.What is 64²? =
  22. 22.What is 59²? =
  23. 23.A square garden has an area of 169 square m. How long is each side (in m)?
  24. 24.A scooter is worth ₹38200. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  25. 25.What is the value of 5⁵ × 5⁻⁶? =
  26. 26.What is 16³? =
  27. 27.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.Solve: 5(y − 3) = y + 13. What is y?
  29. 29.Use (a + b)(a − b) = a² − b² to find 88 × 72.
  30. 30.A scooter is worth ₹31600. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  31. 31.What is the smallest whole number by which 147 must be divided to get a perfect square?
  32. 32.Solve: 8m + 5 = 2m + 47. What is m?
  33. 33.A trapezium has parallel sides of 7 cm and 11 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  34. 34.What amount will ₹25500 grow to in 1 year at 10% per year compound interest (in ₹)?
  35. 35.Which of these is a perfect cube? (a) 3375 (b) 3477 (c) 3727
  36. 36.6.8 × 10⁶ =
  37. 37.Find the compound interest on ₹3300 at 15% per year for 1 year, compounded every year (in ₹).
  38. 38.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  39. 39.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.What is the value of 5⁴ × 5⁻⁴? =

Answer key

  1. 43
  2. 8000
  3. 15
  4. 19
  5. 125
  6. 52
  7. 78125
  8. 10
  9. 9025
  10. 8
  11. 8
  12. 27
  13. 51
  14. 61
  15. 2601
  16. 899
  17. 6
  18. 1/243
  19. 45
  20. 16
  21. 4096
  22. 3481
  23. 13
  24. 28650
  25. 1/5
  26. 4096
  27. 125
  28. 7
  29. 6336
  30. 28519
  31. 3
  32. 7
  33. 90
  34. 28050
  35. 3375
  36. 6800000
  37. 495
  38. 1536
  39. 216
  40. 1

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