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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 106 · 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 the value of 5³ × 5⁻⁶? =
  2. 2.A father is 18 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  3. 3.Solve: 5(m − 1) = m + 11. What is m?
  4. 4.Solve: x/5 + x/3 = 48. What is x?
  5. 5.Find the compound interest on ₹20000 at 12% per year for 2 years, compounded every year (in ₹).
  6. 6.What is the value of 3⁶? =
  7. 7.The sum of three consecutive whole numbers is 84. What is the smallest of them?
  8. 8.Which of these is a perfect cube? (a) 2925 (b) 2903 (c) 2744
  9. 9.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  10. 10.Use (a + b)² = a² + 2ab + b² to find 52².
  11. 11.What amount will ₹58000 grow to in 3 years at 10% per year compound interest (in ₹)?
  12. 12.Use (a + b)(a − b) = a² − b² to find 66 × 54.
  13. 13.What is the difference between the compound interest and the simple interest on ₹28800 at 5% per year for 2 years (in ₹)?
  14. 14.What is the value of 6³? =
  15. 15.A father is 18 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  16. 16.A square garden has an area of 2304 square m. How long is each side (in m)?
  17. 17.What is the smallest whole number by which 360 must be multiplied to get a perfect square?
  18. 18.A scooter is worth ₹35900. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  19. 19.Which of these is a perfect cube? (a) 3656 (b) 3375 (c) 4050
  20. 20.What is the difference between the compound interest and the simple interest on ₹15000 at 12% per year for 2 years (in ₹)?
  21. 21.Which of these is a perfect square? (a) 203 (b) 222 (c) 196
  22. 22.What is the smallest whole number by which 245 must be multiplied to get a perfect square?
  23. 23.Use (a − b)² = a² − 2ab + b² to find 62².
  24. 24.What is the value of 5⁴ × 5⁻⁵? =
  25. 25.Use (a − b)² = a² − 2ab + b² to find 17².
  26. 26.Which of these is a perfect cube? (a) 545 (b) 512 (c) 626
  27. 27.A trapezium has an area of 221 square cm. Its parallel sides are 9 cm and 25 cm. What is the distance between them (in cm)?
  28. 28.What is ∛343? =
  29. 29.The length of a rectangle is 14 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  30. 30.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 98 must be multiplied to get a perfect square?
  32. 32.Use (a − b)² = a² − 2ab + b² to find 37².
  33. 33.What is 10³? =
  34. 34.A room is 8 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.What is 5³? =
  36. 36.What is the value of 8²? =
  37. 37.Find the compound interest on ₹33600 at 25% per year for 3 years, compounded every year (in ₹).
  38. 38.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  39. 39.The sum of two consecutive whole numbers is 105. What is the smallest of them?
  40. 40.The diagonals of a rhombus are 14 cm and 6 cm. What is its area (in square cm)?

Answer key

  1. 1/125
  2. 12
  3. 4
  4. 90
  5. 5088
  6. 729
  7. 27
  8. 2744
  9. 16
  10. 2704
  11. 77198
  12. 3564
  13. 72
  14. 216
  15. 2
  16. 48
  17. 10
  18. 31592
  19. 3375
  20. 216
  21. 196
  22. 5
  23. 3844
  24. 1/5
  25. 289
  26. 512
  27. 13
  28. 7
  29. 6
  30. 125
  31. 2
  32. 1369
  33. 1000
  34. 108
  35. 125
  36. 64
  37. 32025
  38. 11
  39. 52
  40. 42

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