← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 625 · 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.Find the value of x² + 2xy + y² when x = 3 and y = 1.
  2. 2.What amount will ₹29600 grow to in 2 years at 5% per year compound interest (in ₹)?
  3. 3.How many whole numbers lie between 46² and 47²?
  4. 4.If a − b = 1 and ab = 6, what is a² + b²?
  5. 5.A room is 11 m long, 10 m wide and 3 m high. What is the area of its four walls (in square m)?
  6. 6.How many whole numbers lie between 39² and 40²?
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.Find the compound interest on ₹57000 at 20% per year for 3 years, compounded every year (in ₹).
  9. 9.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
  10. 10.The sum of four consecutive whole numbers is 134. What is the smallest of them?
  11. 11.Use (a + b)² = a² + 2ab + b² to find 108².
  12. 12.A square garden has an area of 1225 square m. How long is each side (in m)?
  13. 13.Use a² − b² = (a + b)(a − b) to find 59² − 20².
  14. 14.Use (a + b)(a − b) = a² − b² to find 64 × 56.
  15. 15.How many whole numbers lie between 44² and 45²?
  16. 16.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  17. 17.What is ∛4913? =
  18. 18.How many whole numbers lie between 38² and 39²?
  19. 19.If a + b = 7 and ab = 12, what is a² + b²?
  20. 20.A cuboid is 4 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  21. 21.What is the value of 4⁵? =
  22. 22.What is the difference between the compound interest and the simple interest on ₹44300 at 10% per year for 2 years (in ₹)?
  23. 23.A cuboid is 9 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  24. 24.Which of these is a perfect cube? (a) 343 (b) 481 (c) 486
  25. 25.Solve: 5(y − 1) = y + 43. What is y?
  26. 26.How many whole numbers lie between 45² and 46²?
  27. 27.What is √4624? =
  28. 28.A trapezium has parallel sides of 21 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  29. 29.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  30. 30.What is the value of 5⁻¹ (as a fraction)? =
  31. 31.Solve: y/4 + y/5 = 18. What is y?
  32. 32.What is 55²? =
  33. 33.What is the smallest whole number by which 99 must be multiplied to get a perfect square?
  34. 34.What is 13³? =
  35. 35.What is the value of (7/9)⁻²? =
  36. 36.Write 2.1 × 10⁻³ as a decimal. =
  37. 37.Which of these is a perfect cube? (a) 1331 (b) 1362 (c) 1503
  38. 38.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  39. 39.What is √1296? =
  40. 40.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?

Answer key

  1. 16
  2. 32634
  3. 92
  4. 13
  5. 126
  6. 78
  7. 8
  8. 41496
  9. 5044
  10. 32
  11. 11664
  12. 35
  13. 3081
  14. 3584
  15. 88
  16. 9
  17. 17
  18. 76
  19. 25
  20. 164
  21. 1024
  22. 443
  23. 342
  24. 343
  25. 12
  26. 90
  27. 68
  28. 145
  29. 8
  30. 1/5
  31. 40
  32. 3025
  33. 11
  34. 2197
  35. 81/49
  36. 0.0021
  37. 1331
  38. 17
  39. 36
  40. 7

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