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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 906 · 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 difference between the compound interest and the simple interest on ₹3600 at 15% per year for 2 years (in ₹)?
  2. 2.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
  3. 3.What is the difference between the compound interest and the simple interest on ₹30800 at 25% per year for 2 years (in ₹)?
  4. 4.Find the compound interest on ₹22000 at 5% per year for 2 years, compounded every year (in ₹).
  5. 5.A cuboid is 6 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  6. 6.Write 84,000 in standard form as 8.4 × 10ⁿ. What is n?
  7. 7.Write 2.7 × 10⁻³ as a decimal. =
  8. 8.The diagonals of a rhombus are 16 cm and 6 cm. What is its area (in square cm)?
  9. 9.What is 12³? =
  10. 10.A father is 27 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?
  11. 11.A square garden has an area of 1849 square m. How long is each side (in m)?
  12. 12.Solve: m/3 + m/4 = 56. What is m?
  13. 13.What is ∛6859? =
  14. 14.Solve: 3(t − 2) = t + 2. What is t?
  15. 15.What is 61²? =
  16. 16.What is the value of 2⁻⁵ (as a fraction)? =
  17. 17.What is 3³? =
  18. 18.What is √8100? =
  19. 19.What is √361? =
  20. 20.A scooter is worth ₹32500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  21. 21.Solve: 5(t − 2) = 3t + 20. What is t?
  22. 22.A town has 37900 people. The population grows by 10% every year. What will the population be after 2 years?
  23. 23.What is the smallest whole number by which 176 must be multiplied to get a perfect square?
  24. 24.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
  25. 25.Use (a + b)² = a² + 2ab + b² to find 31².
  26. 26.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  27. 27.Which of these is a perfect square? (a) 660 (b) 665 (c) 625
  28. 28.Use (a + b)² = a² + 2ab + b² to find 28².
  29. 29.Which of these is a perfect square? (a) 324 (b) 327 (c) 358
  30. 30.Use (a + b)² = a² + 2ab + b² to find 71².
  31. 31.What is 27²? =
  32. 32.Use (a + b)² = a² + 2ab + b² to find 104².
  33. 33.What is the value of 9⁻³ (as a fraction)? =
  34. 34.A square garden has an area of 1024 square m. How long is each side (in m)?
  35. 35.Solve: x/2 + x/3 = 10. What is x?
  36. 36.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  38. 38.Find the compound interest on ₹11000 at 10% per year for 3 years, compounded every year (in ₹).
  39. 39.A square garden has an area of 3025 square m. How long is each side (in m)?
  40. 40.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 81
  2. 400
  3. 1925
  4. 2255
  5. 126
  6. 4
  7. 0.0027
  8. 48
  9. 1728
  10. 3
  11. 43
  12. 96
  13. 19
  14. 4
  15. 3721
  16. 1/32
  17. 27
  18. 90
  19. 19
  20. 27508
  21. 15
  22. 45859
  23. 11
  24. 196
  25. 961
  26. 8
  27. 625
  28. 784
  29. 324
  30. 5041
  31. 729
  32. 10816
  33. 1/729
  34. 32
  35. 12
  36. 15
  37. 10
  38. 3641
  39. 55
  40. 8

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