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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 255 · 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 2⁻⁵ (as a fraction)? =
  2. 2.A trapezium has an area of 198 square cm. Its parallel sides are 12 cm and 24 cm. What is the distance between them (in cm)?
  3. 3.What is the difference between the compound interest and the simple interest on ₹54400 at 25% per year for 2 years (in ₹)?
  4. 4.What is 15³? =
  5. 5.The sum of two consecutive whole numbers is 29. What is the smallest of them?
  6. 6.Write 9¹¹ ÷ 9⁶ as a single power 9ⁿ. What is n?
  7. 7.Find the compound interest on ₹39500 at 10% per year for 2 years, compounded every year (in ₹).
  8. 8.Use a² − b² = (a + b)(a − b) to find 27² − 25².
  9. 9.What amount will ₹10000 grow to in 2 years at 12% per year compound interest (in ₹)?
  10. 10.3.4 × 10⁶ =
  11. 11.Use (a + b)(a − b) = a² − b² to find 84 × 76.
  12. 12.What is the value of 4⁷? =
  13. 13.Which of these is a perfect square? (a) 194 (b) 169 (c) 179
  14. 14.Solve: 7x + 10 = 3x + 26. What is x?
  15. 15.What amount will ₹46800 grow to in 2 years at 20% per year compound interest (in ₹)?
  16. 16.A trapezium has parallel sides of 12 cm and 22 cm, and the distance between them is 17 cm. What is its area (in square cm)?
  17. 17.Find the compound interest on ₹19400 at 15% per year for 1 year, compounded every year (in ₹).
  18. 18.Use (a + b)² = a² + 2ab + b² to find 25².
  19. 19.What is the value of 7⁵? =
  20. 20.If a + b = 14 and ab = 24, what is a² + b²?
  21. 21.Which of these is a perfect square? (a) 144 (b) 158 (c) 146
  22. 22.Find the value of x² + 2xy + y² when x = 13 and y = 1.
  23. 23.What is the value of 2² × 2⁻³? =
  24. 24.If a − b = 1 and ab = 12, what is a² + b²?
  25. 25.What is the value of 3¹⁰? =
  26. 26.Solve: 8m + 19 = m + 124. What is m?
  27. 27.What amount will ₹31300 grow to in 2 years at 10% per year compound interest (in ₹)?
  28. 28.What is the value of (3/8)⁻¹? =
  29. 29.What is 9³? =
  30. 30.Use (a − b)² = a² − 2ab + b² to find 97².
  31. 31.What amount will ₹30200 grow to in 1 year at 25% per year compound interest (in ₹)?
  32. 32.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  33. 33.How many whole numbers lie between 33² and 34²?
  34. 34.The diagonals of a rhombus are 6 cm and 7 cm. What is its area (in square cm)?
  35. 35.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.Write 600 in standard form as 6 × 10ⁿ. What is n?
  37. 37.Solve: 7y + 14 = 2y + 84. What is y?
  38. 38.A father is 8 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  39. 39.What is √6561? =
  40. 40.Which of these is a perfect square? (a) 567 (b) 529 (c) 532

Answer key

  1. 1/32
  2. 11
  3. 3400
  4. 3375
  5. 14
  6. 5
  7. 8295
  8. 104
  9. 12544
  10. 3400000
  11. 6384
  12. 16384
  13. 169
  14. 4
  15. 67392
  16. 289
  17. 2910
  18. 625
  19. 16807
  20. 148
  21. 144
  22. 196
  23. 1/2
  24. 25
  25. 59049
  26. 15
  27. 37873
  28. 8/3
  29. 729
  30. 9409
  31. 37750
  32. 3750
  33. 66
  34. 21
  35. 64
  36. 2
  37. 14
  38. 5
  39. 81
  40. 529

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