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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 166 · 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.Solve: 4(n − 2) = 2n + 26. What is n?
  2. 2.What is √4624? =
  3. 3.Which of these is a perfect cube? (a) 125 (b) 192 (c) 168
  4. 4.A trapezium has an area of 190 square cm. Its parallel sides are 5 cm and 14 cm. What is the distance between them (in cm)?
  5. 5.Use (a − b)² = a² − 2ab + b² to find 39².
  6. 6.What is the value of (4/7)⁻²? =
  7. 7.A room is 10 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  8. 8.Write 59,000 in standard form as 5.9 × 10ⁿ. What is n?
  9. 9.What is the value of 6⁵? =
  10. 10.A town has 24000 people. The population grows by 5% every year. What will the population be after 3 years?
  11. 11.A father is 18 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  12. 12.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
  13. 13.What is the value of 10¹ × 10⁻²? =
  14. 14.A trapezium has parallel sides of 16 cm and 15 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  15. 15.What amount will ₹57500 grow to in 2 years at 12% per year compound interest (in ₹)?
  16. 16.5.9 × 10² =
  17. 17.What amount will ₹33600 grow to in 3 years at 25% per year compound interest (in ₹)?
  18. 18.Solve: 5(p − 4) = 3p + 10. What is p?
  19. 19.Find the compound interest on ₹45700 at 8% per year for 1 year, compounded every year (in ₹).
  20. 20.If a + b = 12 and ab = 20, what is a² + b²?
  21. 21.Solve: 3y + 4 = 2y + 15. What is y?
  22. 22.What is the value of 4²? =
  23. 23.What is the value of 10³? =
  24. 24.The diagonals of a rhombus are 30 cm and 3 cm. What is its area (in square cm)?
  25. 25.Use (a − b)² = a² − 2ab + b² to find 34².
  26. 26.Use (a − b)² = a² − 2ab + b² to find 53².
  27. 27.What is the value of (1/7)⁻²? =
  28. 28.Use (a − b)² = a² − 2ab + b² to find 99².
  29. 29.The diagonals of a rhombus are 16 cm and 8 cm. What is its area (in square cm)?
  30. 30.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  31. 31.What is the value of (1/4)⁻²? =
  32. 32.Use (a + b)² = a² + 2ab + b² to find 21².
  33. 33.What is √2304? =
  34. 34.What is ∛512? =
  35. 35.What amount will ₹36800 grow to in 2 years at 20% per year compound interest (in ₹)?
  36. 36.1.8 × 10⁵ =
  37. 37.A scooter is worth ₹20300. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
  38. 38.Write 8³ × 8⁹ as a single power 8ⁿ. What is n?
  39. 39.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  40. 40.A scooter is worth ₹45000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?

Answer key

  1. 17
  2. 68
  3. 125
  4. 20
  5. 1521
  6. 49/16
  7. 96
  8. 4
  9. 7776
  10. 27783
  11. 4
  12. 49
  13. 1/10
  14. 124
  15. 72128
  16. 590
  17. 65625
  18. 15
  19. 3656
  20. 104
  21. 11
  22. 16
  23. 1000
  24. 45
  25. 1156
  26. 2809
  27. 49
  28. 9801
  29. 64
  30. 7
  31. 16
  32. 441
  33. 48
  34. 8
  35. 52992
  36. 180000
  37. 16443
  38. 12
  39. 2166
  40. 34848

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