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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 330 · 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 father is 51 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  2. 2.Which of these is a perfect cube? (a) 125 (b) 170 (c) 168
  3. 3.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  4. 4.Solve: m/4 + m/5 = 36. What is m?
  5. 5.Solve: 3x + 12 = 2x + 16. What is x?
  6. 6.A scooter is worth ₹12500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
  7. 7.Solve: 6(t − 3) = 4t + 2. What is t?
  8. 8.What is the value of 2⁵ × 2⁻³? =
  9. 9.What is ∛2197? =
  10. 10.What is the value of 2⁵? =
  11. 11.What is √1024? =
  12. 12.What is 2³? =
  13. 13.A cuboid is 11 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  14. 14.What is the value of 10⁵ × 10⁻⁵? =
  15. 15.What is the difference between the compound interest and the simple interest on ₹24800 at 5% per year for 2 years (in ₹)?
  16. 16.A room is 11 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.Write 8⁹ × 8⁵ as a single power 8ⁿ. What is n?
  18. 18.What is the smallest whole number by which 490 must be multiplied to get a perfect square?
  19. 19.Solve: p/5 + p/6 = 55. What is p?
  20. 20.The sum of four consecutive whole numbers is 38. What is the smallest of them?
  21. 21.What is the difference between the compound interest and the simple interest on ₹27500 at 8% per year for 2 years (in ₹)?
  22. 22.Use (a + b)² = a² + 2ab + b² to find 44².
  23. 23.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  24. 24.How many whole numbers lie between 17² and 18²?
  25. 25.What is 16³? =
  26. 26.Solve: 3(m − 2) = 2m + 2. What is m?
  27. 27.The length of a rectangle is 6 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  28. 28.What amount will ₹54000 grow to in 2 years at 15% per year compound interest (in ₹)?
  29. 29.If a + b = 4 and ab = 3, what is a² + b²?
  30. 30.What is the value of 3⁻⁴ (as a fraction)? =
  31. 31.Find the compound interest on ₹48300 at 20% per year for 2 years, compounded every year (in ₹).
  32. 32.The sum of four consecutive whole numbers is 102. What is the largest of them?
  33. 33.Find the value of x² − 2xy + y² when x = 8 and y = 2.
  34. 34.Which of these is a perfect cube? (a) 220 (b) 259 (c) 216
  35. 35.What is ∛1000? =
  36. 36.Use a² − b² = (a + b)(a − b) to find 66² − 58².
  37. 37.What is ∛10648? =
  38. 38.A trapezium has an area of 270 square cm. Its parallel sides are 4 cm and 26 cm. What is the distance between them (in cm)?
  39. 39.What is the value of 3¹ × 3⁻⁴? =
  40. 40.What is √225? =

Answer key

  1. 11
  2. 125
  3. 625
  4. 80
  5. 4
  6. 11520
  7. 10
  8. 4
  9. 13
  10. 32
  11. 32
  12. 8
  13. 298
  14. 1
  15. 62
  16. 168
  17. 14
  18. 10
  19. 150
  20. 8
  21. 176
  22. 1936
  23. 2
  24. 34
  25. 4096
  26. 8
  27. 17
  28. 71415
  29. 10
  30. 1/81
  31. 21252
  32. 27
  33. 36
  34. 216
  35. 10
  36. 992
  37. 22
  38. 18
  39. 1/27
  40. 15

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