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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 12 · 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.Use a² − b² = (a + b)(a − b) to find 99² − 19².
  2. 2.Write 2¹² ÷ 2⁶ as a single power 2ⁿ. What is n?
  3. 3.Solve: 3(t − 5) = 2t + 9. What is t?
  4. 4.What amount will ₹35400 grow to in 1 year at 5% per year compound interest (in ₹)?
  5. 5.What amount will ₹20700 grow to in 1 year at 10% per year compound interest (in ₹)?
  6. 6.What is the value of 6⁻¹ (as a fraction)? =
  7. 7.Find the value of x² − y² when x = 3 and y = 2.
  8. 8.Solve: 6(y − 5) = y + 60. What is y?
  9. 9.What amount will ₹50300 grow to in 2 years at 20% per year compound interest (in ₹)?
  10. 10.Solve: 5(t − 2) = 3t + 6. What is t?
  11. 11.Find the compound interest on ₹13800 at 20% per year for 1 year, compounded every year (in ₹).
  12. 12.Use a² − b² = (a + b)(a − b) to find 22² − 21².
  13. 13.Use (a + b)(a − b) = a² − b² to find 58 × 42.
  14. 14.Write 8² × 8⁵ as a single power 8ⁿ. What is n?
  15. 15.A town has 49600 people. The population grows by 5% every year. What will the population be after 1 year?
  16. 16.If a + b = 3 and ab = 2, what is a² + b²?
  17. 17.What amount will ₹38300 grow to in 1 year at 10% per year compound interest (in ₹)?
  18. 18.Solve: y/4 + y/2 = 21. What is y?
  19. 19.A town has 10900 people. The population grows by 10% every year. What will the population be after 1 year?
  20. 20.If a − b = 7 and ab = 8, what is a² + b²?
  21. 21.A scooter is worth ₹56000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  22. 22.A cuboid is 14 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  23. 23.What is the smallest whole number by which 686 must be divided to get a perfect square?
  24. 24.What is 8³? =
  25. 25.A square garden has an area of 1225 square m. How long is each side (in m)?
  26. 26.What is the smallest whole number by which 384 must be multiplied to get a perfect square?
  27. 27.What is the value of (1/4)⁻¹? =
  28. 28.Write (5⁸)⁷ as a single power 5ⁿ. What is n?
  29. 29.What is the smallest whole number by which 208 must be multiplied to get a perfect square?
  30. 30.The length of a rectangle is 5 cm more than its width. Its perimeter is 70 cm. What is its width (in cm)?
  31. 31.8.4 × 10⁴ =
  32. 32.A trapezium has an area of 28 square cm. Its parallel sides are 10 cm and 4 cm. What is the distance between them (in cm)?
  33. 33.Solve: t/5 + t/2 = 21. What is t?
  34. 34.What is ∛2197? =
  35. 35.Use (a − b)² = a² − 2ab + b² to find 97².
  36. 36.Use (a + b)² = a² + 2ab + b² to find 108².
  37. 37.A trapezium has an area of 140 square cm. Its parallel sides are 19 cm and 21 cm. What is the distance between them (in cm)?
  38. 38.What is ∛2744? =
  39. 39.Solve: 6(t − 2) = 4t + 20. What is t?
  40. 40.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?

Answer key

  1. 9440
  2. 6
  3. 24
  4. 37170
  5. 22770
  6. 1/6
  7. 5
  8. 18
  9. 72432
  10. 8
  11. 2760
  12. 43
  13. 2436
  14. 7
  15. 52080
  16. 5
  17. 42130
  18. 28
  19. 11990
  20. 65
  21. 34391
  22. 436
  23. 14
  24. 512
  25. 35
  26. 6
  27. 4
  28. 56
  29. 13
  30. 15
  31. 84000
  32. 4
  33. 30
  34. 13
  35. 9409
  36. 11664
  37. 7
  38. 14
  39. 16
  40. 18

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