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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 63 · 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.A trapezium has an area of 132 square cm. Its parallel sides are 29 cm and 4 cm. What is the distance between them (in cm)?
  2. 2.Solve: t/4 + t/2 = 18. What is t?
  3. 3.Solve: 4(y − 5) = 2y + 6. What is y?
  4. 4.A room is 5 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  5. 5.Solve: 5(y − 2) = 3y + 20. What is y?
  6. 6.Use (a − b)² = a² − 2ab + b² to find 32².
  7. 7.What is ∛15625? =
  8. 8.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  9. 9.If a − b = 6 and ab = 16, what is a² + b²?
  10. 10.Solve: 5(n − 5) = 2n + 29. What is n?
  11. 11.Use (a + b)² = a² + 2ab + b² to find 49².
  12. 12.What is ∛1728? =
  13. 13.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  14. 14.Write 3⁴ × 3⁵ as a single power 3ⁿ. What is n?
  15. 15.Use a² − b² = (a + b)(a − b) to find 40² − 12².
  16. 16.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
  17. 17.Use a² − b² = (a + b)(a − b) to find 63² − 57².
  18. 18.The sum of three consecutive whole numbers is 105. What is the smallest of them?
  19. 19.If a + b = 9 and ab = 18, what is a² + b²?
  20. 20.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  21. 21.Solve: x/3 + x/4 = 14. What is x?
  22. 22.What is √8649? =
  23. 23.Solve: 5(m − 1) = 2m + 4. What is m?
  24. 24.Which of these is a perfect cube? (a) 3680 (b) 3519 (c) 3375
  25. 25.What is the value of 10¹ × 10⁻⁴? =
  26. 26.Write 7 × 10⁻⁴ as a decimal. =
  27. 27.What is 66²? =
  28. 28.What is 26²? =
  29. 29.Find the compound interest on ₹37400 at 25% per year for 1 year, compounded every year (in ₹).
  30. 30.A trapezium has parallel sides of 25 cm and 11 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  31. 31.What is 16³? =
  32. 32.Write 5¹⁶ ÷ 5⁹ as a single power 5ⁿ. What is n?
  33. 33.What is the difference between the compound interest and the simple interest on ₹57500 at 4% per year for 2 years (in ₹)?
  34. 34.A trapezium has an area of 114 square cm. Its parallel sides are 28 cm and 10 cm. What is the distance between them (in cm)?
  35. 35.What is the value of 2² × 2⁻⁶? =
  36. 36.Find the compound interest on ₹38300 at 5% per year for 1 year, compounded every year (in ₹).
  37. 37.Write 750 in standard form as 7.5 × 10ⁿ. What is n?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 82².
  39. 39.Which of these is a perfect square? (a) 335 (b) 324 (c) 332
  40. 40.What is 46²? =

Answer key

  1. 8
  2. 24
  3. 13
  4. 130
  5. 15
  6. 1024
  7. 25
  8. 2
  9. 68
  10. 18
  11. 2401
  12. 12
  13. 2
  14. 9
  15. 1456
  16. 1261
  17. 720
  18. 34
  19. 45
  20. 90
  21. 24
  22. 93
  23. 3
  24. 3375
  25. 1/1000
  26. 0.0007
  27. 4356
  28. 676
  29. 9350
  30. 108
  31. 4096
  32. 7
  33. 92
  34. 6
  35. 1/16
  36. 1915
  37. 2
  38. 6724
  39. 324
  40. 2116

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