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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 477 · 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 smallest whole number by which 294 must be multiplied to get a perfect square?
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.What is the value of 4²? =
  4. 4.Solve: 8p + 8 = 3p + 58. What is p?
  5. 5.What is the difference between the compound interest and the simple interest on ₹41200 at 15% per year for 2 years (in ₹)?
  6. 6.Solve: m/5 + m/2 = 14. What is m?
  7. 7.Write 3⁷ ÷ 3⁴ as a single power 3ⁿ. What is n?
  8. 8.A town has 8500 people. The population grows by 20% every year. What will the population be after 3 years?
  9. 9.If a − b = 10 and ab = 11, what is a² + b²?
  10. 10.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  11. 11.Use (a + b)² = a² + 2ab + b² to find 21².
  12. 12.The length of a rectangle is 4 cm more than its width. Its perimeter is 120 cm. What is its width (in cm)?
  13. 13.What is the smallest whole number by which 75 must be multiplied to get a perfect square?
  14. 14.What is the difference between the compound interest and the simple interest on ₹29200 at 15% per year for 2 years (in ₹)?
  15. 15.What is the value of 2⁴ × 2⁻⁵? =
  16. 16.Write 2,00,00,000 in standard form as 2 × 10ⁿ. What is n?
  17. 17.What is the value of 5³ × 5⁻⁴? =
  18. 18.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  19. 19.Solve: 8p + 5 = 3p + 25. What is p?
  20. 20.Use (a + b)² = a² + 2ab + b² to find 42².
  21. 21.What is the difference between the compound interest and the simple interest on ₹58000 at 5% per year for 2 years (in ₹)?
  22. 22.A square garden has an area of 121 square m. How long is each side (in m)?
  23. 23.Use (a − b)² = a² − 2ab + b² to find 51².
  24. 24.Solve: p/5 + p/2 = 7. What is p?
  25. 25.What is the value of 8⁵? =
  26. 26.What is the smallest whole number by which 27 must be divided to get a perfect square?
  27. 27.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  28. 28.Use (a − b)² = a² − 2ab + b² to find 36².
  29. 29.Solve: 4(x − 1) = 3x + 8. What is x?
  30. 30.What is the value of (2/9)⁻²? =
  31. 31.Use (a + b)(a − b) = a² − b² to find 67 × 53.
  32. 32.What is the difference between the compound interest and the simple interest on ₹50000 at 15% per year for 2 years (in ₹)?
  33. 33.Find the compound interest on ₹15500 at 20% per year for 3 years, compounded every year (in ₹).
  34. 34.Find the value of x² − y² when x = 8 and y = 6.
  35. 35.What is the smallest whole number by which 504 must be divided to get a perfect square?
  36. 36.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  37. 37.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  38. 38.A trapezium has an area of 280 square cm. Its parallel sides are 30 cm and 5 cm. What is the distance between them (in cm)?
  39. 39.What is the difference between the compound interest and the simple interest on ₹12500 at 8% per year for 2 years (in ₹)?
  40. 40.Solve: x/3 + x/6 = 12. What is x?

Answer key

  1. 6
  2. 27
  3. 16
  4. 10
  5. 927
  6. 20
  7. 3
  8. 14688
  9. 122
  10. 4
  11. 441
  12. 28
  13. 3
  14. 657
  15. 1/2
  16. 7
  17. 1/5
  18. 10
  19. 4
  20. 1764
  21. 145
  22. 11
  23. 2601
  24. 10
  25. 32768
  26. 3
  27. 20
  28. 1296
  29. 12
  30. 81/4
  31. 3551
  32. 1125
  33. 11284
  34. 28
  35. 14
  36. 19
  37. 729
  38. 16
  39. 80
  40. 24

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