← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 424 · 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 amount will ₹8800 grow to in 2 years at 5% per year compound interest (in ₹)?
  2. 2.The sum of three consecutive whole numbers is 45. What is the smallest of them?
  3. 3.A cuboid is 8 cm long, 11 cm wide and 7 cm high. What is its total surface area (in square cm)?
  4. 4.Use a² − b² = (a + b)(a − b) to find 62² − 27².
  5. 5.What is the value of 2¹⁴? =
  6. 6.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  7. 7.Use (a + b)(a − b) = a² − b² to find 41 × 39.
  8. 8.Write 6,40,000 in standard form as 6.4 × 10ⁿ. What is n?
  9. 9.Find the value of x² + 2xy + y² when x = 14 and y = 4.
  10. 10.Solve: 5n + 17 = 3n + 21. What is n?
  11. 11.What is the value of 2⁻⁴ (as a fraction)? =
  12. 12.A trapezium has parallel sides of 30 cm and 28 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  13. 13.A trapezium has an area of 96 square cm. Its parallel sides are 27 cm and 5 cm. What is the distance between them (in cm)?
  14. 14.Use a² − b² = (a + b)(a − b) to find 64² − 39².
  15. 15.If a − b = 9 and ab = 36, what is a² + b²?
  16. 16.What is ∛8? =
  17. 17.A town has 40000 people. The population grows by 25% every year. What will the population be after 3 years?
  18. 18.Find the value of x² + 2xy + y² when x = 14 and y = 11.
  19. 19.9.9 × 10⁷ =
  20. 20.A town has 53700 people. The population grows by 10% every year. What will the population be after 2 years?
  21. 21.The diagonals of a rhombus are 6 cm and 21 cm. What is its area (in square cm)?
  22. 22.Solve: 6t + 8 = 4t + 34. What is t?
  23. 23.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  24. 24.A square garden has an area of 3136 square m. How long is each side (in m)?
  25. 25.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  26. 26.Use (a + b)(a − b) = a² − b² to find 32 × 28.
  27. 27.Write 6.7 × 10⁻⁴ as a decimal. =
  28. 28.Which of these is a perfect square? (a) 1213 (b) 1162 (c) 1156
  29. 29.A room is 3 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.What is √225? =
  31. 31.A trapezium has parallel sides of 5 cm and 16 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  32. 32.Solve: m/4 + m/3 = 21. What is m?
  33. 33.Use (a + b)(a − b) = a² − b² to find 104 × 96.
  34. 34.A room is 12 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.What is √6400? =
  36. 36.Solve: 5(y − 2) = y + 46. What is y?
  37. 37.The sum of four consecutive whole numbers is 78. What is the smallest of them?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 21².
  39. 39.What amount will ₹23100 grow to in 2 years at 10% per year compound interest (in ₹)?
  40. 40.A room is 7 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 9702
  2. 14
  3. 442
  4. 3115
  5. 16384
  6. 3750
  7. 1599
  8. 5
  9. 324
  10. 2
  11. 1/16
  12. 174
  13. 6
  14. 2575
  15. 153
  16. 2
  17. 78125
  18. 625
  19. 99000000
  20. 64977
  21. 63
  22. 13
  23. 9
  24. 56
  25. 784
  26. 896
  27. 0.00067
  28. 1156
  29. 72
  30. 15
  31. 210
  32. 36
  33. 9984
  34. 220
  35. 80
  36. 14
  37. 18
  38. 441
  39. 27951
  40. 90

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