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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 499 · 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 (a − b)² = a² − 2ab + b² to find 12².
  2. 2.Write (7³)⁴ as a single power 7ⁿ. What is n?
  3. 3.What is the value of 2¹³? =
  4. 4.A father is 26 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  5. 5.4 × 10⁵ =
  6. 6.What amount will ₹37500 grow to in 2 years at 4% per year compound interest (in ₹)?
  7. 7.Solve: 5m + 4 = 2m + 19. What is m?
  8. 8.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  10. 10.Write 8¹² ÷ 8⁵ as a single power 8ⁿ. What is n?
  11. 11.2.8 × 10³ =
  12. 12.What is the difference between the compound interest and the simple interest on ₹20000 at 8% per year for 2 years (in ₹)?
  13. 13.Write 5.4 × 10⁻³ as a decimal. =
  14. 14.The diagonals of a rhombus are 24 cm and 10 cm. What is its area (in square cm)?
  15. 15.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  16. 16.2.4 × 10³ =
  17. 17.Solve: 9y + 2 = 2y + 44. What is y?
  18. 18.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
  19. 19.A trapezium has parallel sides of 9 cm and 26 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  20. 20.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  21. 21.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  22. 22.If a − b = 1 and ab = 2, what is a² + b²?
  23. 23.A square garden has an area of 1600 square m. How long is each side (in m)?
  24. 24.Solve: 6(p − 3) = 3p + 6. What is p?
  25. 25.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  26. 26.What is 65²? =
  27. 27.What amount will ₹50900 grow to in 1 year at 5% per year compound interest (in ₹)?
  28. 28.What is the smallest whole number by which 686 must be multiplied to get a perfect square?
  29. 29.Find the value of x² − y² when x = 3 and y = 2.
  30. 30.Solve: t/3 + t/6 = 9. What is t?
  31. 31.Which of these is a perfect square? (a) 605 (b) 576 (c) 579
  32. 32.Use (a − b)² = a² − 2ab + b² to find 76².
  33. 33.Find the compound interest on ₹24400 at 25% per year for 2 years, compounded every year (in ₹).
  34. 34.The length of a rectangle is 4 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  35. 35.Use (a − b)² = a² − 2ab + b² to find 38².
  36. 36.Which of these is a perfect cube? (a) 397 (b) 345 (c) 343
  37. 37.The length of a rectangle is 1 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 75².
  39. 39.Use a² − b² = (a + b)(a − b) to find 73² − 39².
  40. 40.What is the value of 3³? =

Answer key

  1. 144
  2. 12
  3. 8192
  4. 6
  5. 400000
  6. 40560
  7. 5
  8. 64
  9. 7
  10. 7
  11. 2800
  12. 128
  13. 0.0054
  14. 120
  15. 12
  16. 2400
  17. 6
  18. 81
  19. 35
  20. 6
  21. 3
  22. 5
  23. 40
  24. 8
  25. 8
  26. 4225
  27. 53445
  28. 14
  29. 5
  30. 18
  31. 576
  32. 5776
  33. 13725
  34. 8
  35. 1444
  36. 343
  37. 9
  38. 5625
  39. 3808
  40. 27

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