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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 631 · 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.Find the compound interest on ₹15900 at 5% per year for 1 year, compounded every year (in ₹).
  2. 2.Which of these is a perfect square? (a) 841 (b) 877 (c) 859
  3. 3.Solve: y/6 + y/3 = 18. What is y?
  4. 4.Write 7.8 × 10⁻² as a decimal. =
  5. 5.Which of these is a perfect cube? (a) 1887 (b) 2151 (c) 1728
  6. 6.What is ∛8000? =
  7. 7.A father is 10 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  8. 8.What amount will ₹49600 grow to in 2 years at 15% per year compound interest (in ₹)?
  9. 9.A trapezium has an area of 212 square cm. Its parallel sides are 30 cm and 23 cm. What is the distance between them (in cm)?
  10. 10.A square garden has an area of 1849 square m. How long is each side (in m)?
  11. 11.What amount will ₹58300 grow to in 1 year at 10% per year compound interest (in ₹)?
  12. 12.Find the compound interest on ₹23900 at 5% per year for 1 year, compounded every year (in ₹).
  13. 13.Solve: x/4 + x/2 = 3. What is x?
  14. 14.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  15. 15.Solve: 7m + 2 = 2m + 52. What is m?
  16. 16.If a + b = 5 and ab = 4, what is a² + b²?
  17. 17.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  18. 18.What is the value of 9⁴? =
  19. 19.If a − b = 1 and ab = 30, what is a² + b²?
  20. 20.Which of these is a perfect square? (a) 196 (b) 199 (c) 202
  21. 21.Find the compound interest on ₹26400 at 10% per year for 1 year, compounded every year (in ₹).
  22. 22.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.Find the compound interest on ₹45200 at 20% per year for 2 years, compounded every year (in ₹).
  25. 25.How many whole numbers lie between 41² and 42²?
  26. 26.If a − b = 1 and ab = 132, what is a² + b²?
  27. 27.8.3 × 10⁴ =
  28. 28.What is ∛2197? =
  29. 29.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  30. 30.Use (a + b)² = a² + 2ab + b² to find 46².
  31. 31.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?
  33. 33.The diagonals of a rhombus are 12 cm and 23 cm. What is its area (in square cm)?
  34. 34.A square garden has an area of 121 square m. How long is each side (in m)?
  35. 35.If a + b = 3 and ab = 2, what is a² + b²?
  36. 36.What is ∛12167? =
  37. 37.What is √7056? =
  38. 38.A square garden has an area of 625 square m. How long is each side (in m)?
  39. 39.Find the compound interest on ₹46000 at 10% per year for 3 years, compounded every year (in ₹).
  40. 40.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?

Answer key

  1. 795
  2. 841
  3. 36
  4. 0.078
  5. 1728
  6. 20
  7. 9
  8. 65596
  9. 8
  10. 43
  11. 64130
  12. 1195
  13. 4
  14. 11
  15. 10
  16. 17
  17. 6
  18. 6561
  19. 61
  20. 196
  21. 2640
  22. 3
  23. 64
  24. 19888
  25. 82
  26. 265
  27. 83000
  28. 13
  29. 8
  30. 2116
  31. 8
  32. 64
  33. 138
  34. 11
  35. 5
  36. 23
  37. 84
  38. 25
  39. 15226
  40. 121

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