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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 643 · 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.Solve: 6(t − 4) = t + 41. What is t?
  2. 2.A cuboid is 6 cm long, 7 cm wide and 5 cm high. What is its total surface area (in square cm)?
  3. 3.What is 11³? =
  4. 4.What is the difference between the compound interest and the simple interest on ₹2700 at 10% per year for 2 years (in ₹)?
  5. 5.What is the smallest whole number by which 891 must be multiplied to get a perfect square?
  6. 6.What is the difference between the compound interest and the simple interest on ₹2500 at 8% per year for 2 years (in ₹)?
  7. 7.A square garden has an area of 2304 square m. How long is each side (in m)?
  8. 8.What is the difference between the compound interest and the simple interest on ₹58800 at 15% per year for 2 years (in ₹)?
  9. 9.A square garden has an area of 100 square m. How long is each side (in m)?
  10. 10.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  11. 11.Solve: 9n + 13 = n + 85. What is n?
  12. 12.If a − b = 1 and ab = 56, what is a² + b²?
  13. 13.How many whole numbers lie between 38² and 39²?
  14. 14.What amount will ₹59600 grow to in 2 years at 25% per year compound interest (in ₹)?
  15. 15.Solve: x/4 + x/5 = 36. What is x?
  16. 16.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  17. 17.What is 5³? =
  18. 18.What is ∛6859? =
  19. 19.A trapezium has an area of 128 square cm. Its parallel sides are 13 cm and 3 cm. What is the distance between them (in cm)?
  20. 20.Write 7.4 × 10⁻³ as a decimal. =
  21. 21.A scooter is worth ₹39600. Its value falls by 10% every year. What will it be worth after 1 year (in ₹)?
  22. 22.Which of these is a perfect square? (a) 1534 (b) 1521 (c) 1543
  23. 23.Write 9⁶ × 9⁷ as a single power 9ⁿ. What is n?
  24. 24.Write 860 in standard form as 8.6 × 10ⁿ. What is n?
  25. 25.A trapezium has parallel sides of 5 cm and 18 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  26. 26.What is the value of (5/9)⁻¹? =
  27. 27.Solve: n/5 + n/6 = 33. What is n?
  28. 28.A town has 24000 people. The population grows by 5% every year. What will the population be after 3 years?
  29. 29.Write 2⁶ × 2² as a single power 2ⁿ. What is n?
  30. 30.What is the value of 6⁴? =
  31. 31.A father is 33 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  32. 32.Solve: 6(p − 1) = 3p + 30. What is p?
  33. 33.A scooter is worth ₹2500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  34. 34.What is the value of 3³? =
  35. 35.How many whole numbers lie between 20² and 21²?
  36. 36.Solve: 5(n − 1) = 2n + 4. What is n?
  37. 37.What is the smallest whole number by which 243 must be divided to get a perfect square?
  38. 38.Solve: n/5 + n/2 = 42. What is n?
  39. 39.Solve: 3(y − 4) = 2y + 7. What is y?
  40. 40.Solve: 9n + 19 = 4n + 79. What is n?

Answer key

  1. 13
  2. 214
  3. 1331
  4. 27
  5. 11
  6. 16
  7. 48
  8. 1323
  9. 10
  10. 9
  11. 9
  12. 113
  13. 76
  14. 93125
  15. 80
  16. 150
  17. 125
  18. 19
  19. 16
  20. 0.0074
  21. 35640
  22. 1521
  23. 13
  24. 2
  25. 69
  26. 9/5
  27. 90
  28. 27783
  29. 8
  30. 1296
  31. 7
  32. 12
  33. 2116
  34. 27
  35. 40
  36. 3
  37. 3
  38. 60
  39. 19
  40. 12

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