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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 452 · 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.How many whole numbers lie between 8² and 9²?
  2. 2.Which of these is a perfect cube? (a) 1000 (b) 1081 (c) 1086
  3. 3.A square garden has an area of 3600 square m. How long is each side (in m)?
  4. 4.What is the value of 2¹⁴? =
  5. 5.What is the smallest whole number by which 54 must be multiplied to get a perfect square?
  6. 6.Solve: 4(x − 1) = 2x + 20. What is x?
  7. 7.Use (a − b)² = a² − 2ab + b² to find 65².
  8. 8.A father is 3 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  9. 9.Which of these is a perfect cube? (a) 1345 (b) 1683 (c) 1331
  10. 10.The sum of three consecutive whole numbers is 54. What is the largest of them?
  11. 11.What amount will ₹26500 grow to in 1 year at 20% per year compound interest (in ₹)?
  12. 12.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  14. 14.How many whole numbers lie between 11² and 12²?
  15. 15.A town has 17200 people. The population grows by 4% every year. What will the population be after 1 year?
  16. 16.Write 8² × 8⁷ as a single power 8ⁿ. What is n?
  17. 17.What is the smallest whole number by which 75 must be multiplied to get a perfect square?
  18. 18.Write 4³ × 4² as a single power 4ⁿ. What is n?
  19. 19.What is the value of (1/2)⁻¹? =
  20. 20.What is 46²? =
  21. 21.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  22. 22.What is 6³? =
  23. 23.Solve: 9x + 18 = 7x + 34. What is x?
  24. 24.How many whole numbers lie between 16² and 17²?
  25. 25.A trapezium has parallel sides of 9 cm and 24 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  26. 26.Write 5⁶ × 5⁵ as a single power 5ⁿ. What is n?
  27. 27.Which of these is a perfect cube? (a) 53 (b) 27 (c) 38
  28. 28.What is √256? =
  29. 29.Write (7⁴)⁹ as a single power 7ⁿ. What is n?
  30. 30.Solve: 5(p − 1) = p + 35. What is p?
  31. 31.Use (a − b)² = a² − 2ab + b² to find 45².
  32. 32.What is the smallest whole number by which 180 must be multiplied to get a perfect square?
  33. 33.Write 8.5 × 10⁻⁴ as a decimal. =
  34. 34.What is 25²? =
  35. 35.Write 6¹² ÷ 6³ as a single power 6ⁿ. What is n?
  36. 36.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  37. 37.If a + b = 9 and ab = 20, what is a² + b²?
  38. 38.Find the compound interest on ₹40000 at 15% per year for 3 years, compounded every year (in ₹).
  39. 39.What is √900? =
  40. 40.Which of these is a perfect cube? (a) 620 (b) 512 (c) 688

Answer key

  1. 16
  2. 1000
  3. 60
  4. 16384
  5. 6
  6. 12
  7. 4225
  8. 2
  9. 1331
  10. 19
  11. 31800
  12. 216
  13. 3
  14. 22
  15. 17888
  16. 9
  17. 3
  18. 5
  19. 2
  20. 2116
  21. 96
  22. 216
  23. 8
  24. 32
  25. 297
  26. 11
  27. 27
  28. 16
  29. 36
  30. 10
  31. 2025
  32. 5
  33. 0.00085
  34. 625
  35. 9
  36. 24
  37. 41
  38. 20835
  39. 30
  40. 512

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