← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 210 · 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 ∛27? =
  2. 2.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  3. 3.What is 21²? =
  4. 4.What is the value of 8⁻¹ (as a fraction)? =
  5. 5.Solve: y/2 + y/3 = 25. What is y?
  6. 6.What is ∛2744? =
  7. 7.The diagonals of a rhombus are 18 cm and 8 cm. What is its area (in square cm)?
  8. 8.A town has 11000 people. The population grows by 20% every year. What will the population be after 1 year?
  9. 9.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  10. 10.Write 7³ × 7² as a single power 7ⁿ. What is n?
  11. 11.Write 5³ × 5³ as a single power 5ⁿ. What is n?
  12. 12.A trapezium has an area of 189 square cm. Its parallel sides are 23 cm and 4 cm. What is the distance between them (in cm)?
  13. 13.What is the value of 6⁴? =
  14. 14.What is the smallest whole number by which 396 must be divided to get a perfect square?
  15. 15.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  16. 16.What amount will ₹15000 grow to in 2 years at 12% per year compound interest (in ₹)?
  17. 17.Use (a − b)² = a² − 2ab + b² to find 72².
  18. 18.Which of these is a perfect square? (a) 396 (b) 388 (c) 361
  19. 19.The length of a rectangle is 14 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  20. 20.What is 3³? =
  21. 21.A square garden has an area of 2401 square m. How long is each side (in m)?
  22. 22.Use a² − b² = (a + b)(a − b) to find 74² − 58².
  23. 23.Solve: 3(y − 1) = 2y + 12. What is y?
  24. 24.Which of these is a perfect cube? (a) 3199 (b) 2902 (c) 2744
  25. 25.Which of these is a perfect square? (a) 1378 (b) 1369 (c) 1381
  26. 26.A cuboid is 6 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  27. 27.A room is 5 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  28. 28.Solve: 4(y − 4) = 3y + 13. What is y?
  29. 29.Use (a − b)² = a² − 2ab + b² to find 23².
  30. 30.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  31. 31.How many whole numbers lie between 42² and 43²?
  32. 32.The diagonals of a rhombus are 6 cm and 25 cm. What is its area (in square cm)?
  33. 33.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  34. 34.Solve: 9p + 8 = 8p + 9. What is p?
  35. 35.A square garden has an area of 81 square m. How long is each side (in m)?
  36. 36.A father is 24 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  37. 37.How many whole numbers lie between 22² and 23²?
  38. 38.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  39. 39.Use a² − b² = (a + b)(a − b) to find 48² − 34².
  40. 40.Find the compound interest on ₹47200 at 5% per year for 2 years, compounded every year (in ₹).

Answer key

  1. 3
  2. 2
  3. 441
  4. 1/8
  5. 30
  6. 14
  7. 72
  8. 13200
  9. 14
  10. 5
  11. 6
  12. 14
  13. 1296
  14. 11
  15. 5
  16. 18816
  17. 5184
  18. 361
  19. 17
  20. 27
  21. 49
  22. 2112
  23. 15
  24. 2744
  25. 1369
  26. 228
  27. 100
  28. 29
  29. 529
  30. 7
  31. 84
  32. 75
  33. 19
  34. 1
  35. 9
  36. 4
  37. 44
  38. 256
  39. 1148
  40. 4838

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets