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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 202 · 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.The length of a rectangle is 5 cm more than its width. Its perimeter is 106 cm. What is its width (in cm)?
  2. 2.The sum of two consecutive whole numbers is 83. What is the largest of them?
  3. 3.What is the difference between the compound interest and the simple interest on ₹44800 at 25% per year for 2 years (in ₹)?
  4. 4.What is 12³? =
  5. 5.If a − b = 6 and ab = 27, what is a² + b²?
  6. 6.Solve: x/4 + x/2 = 24. What is x?
  7. 7.Find the compound interest on ₹21200 at 25% per year for 2 years, compounded every year (in ₹).
  8. 8.4.2 × 10³ =
  9. 9.A square garden has an area of 2209 square m. How long is each side (in m)?
  10. 10.A room is 12 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  11. 11.A town has 27800 people. The population grows by 10% every year. What will the population be after 1 year?
  12. 12.What is the difference between the compound interest and the simple interest on ₹42500 at 12% per year for 2 years (in ₹)?
  13. 13.Find the compound interest on ₹5000 at 12% per year for 2 years, compounded every year (in ₹).
  14. 14.What is the value of 5⁴ × 5⁻³? =
  15. 15.A trapezium has parallel sides of 9 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  16. 16.What is the smallest whole number by which 1215 must be divided to get a perfect square?
  17. 17.Use a² − b² = (a + b)(a − b) to find 31² − 23².
  18. 18.Use (a + b)² = a² + 2ab + b² to find 19².
  19. 19.Find the compound interest on ₹8400 at 5% per year for 2 years, compounded every year (in ₹).
  20. 20.A father is 10 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  21. 21.Solve: y/6 + y/4 = 10. What is y?
  22. 22.What is 4³? =
  23. 23.What amount will ₹6100 grow to in 1 year at 25% per year compound interest (in ₹)?
  24. 24.What is 17³? =
  25. 25.Find the compound interest on ₹33200 at 15% per year for 2 years, compounded every year (in ₹).
  26. 26.Which of these is a perfect cube? (a) 84 (b) 83 (c) 64
  27. 27.How many whole numbers lie between 21² and 22²?
  28. 28.What is ∛13824? =
  29. 29.A cuboid is 10 cm long, 2 cm wide and 5 cm high. What is its total surface area (in square cm)?
  30. 30.What is the value of 7²? =
  31. 31.A father is 19 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  32. 32.What is 29²? =
  33. 33.What is the difference between the compound interest and the simple interest on ₹23700 at 10% per year for 2 years (in ₹)?
  34. 34.What is √3481? =
  35. 35.What is 10³? =
  36. 36.What is ∛512? =
  37. 37.Solve: 9y + 4 = y + 108. What is y?
  38. 38.A trapezium has an area of 56 square cm. Its parallel sides are 4 cm and 24 cm. What is the distance between them (in cm)?
  39. 39.The length of a rectangle is 14 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  40. 40.What amount will ₹24300 grow to in 2 years at 20% per year compound interest (in ₹)?

Answer key

  1. 24
  2. 42
  3. 2800
  4. 1728
  5. 90
  6. 32
  7. 11925
  8. 4200
  9. 47
  10. 144
  11. 30580
  12. 612
  13. 1272
  14. 5
  15. 136
  16. 15
  17. 432
  18. 361
  19. 861
  20. 2
  21. 24
  22. 64
  23. 7625
  24. 4913
  25. 10707
  26. 64
  27. 42
  28. 24
  29. 160
  30. 49
  31. 12
  32. 841
  33. 237
  34. 59
  35. 1000
  36. 8
  37. 13
  38. 4
  39. 3
  40. 34992

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