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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 50 · 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.What is the value of 7³? =
  2. 2.What is √7225? =
  3. 3.Use a² − b² = (a + b)(a − b) to find 57² − 15².
  4. 4.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  5. 5.If a + b = 9 and ab = 8, what is a² + b²?
  6. 6.A trapezium has an area of 54 square cm. Its parallel sides are 8 cm and 19 cm. What is the distance between them (in cm)?
  7. 7.The sum of four consecutive whole numbers is 174. What is the largest of them?
  8. 8.Write 9,50,00,000 in standard form as 9.5 × 10ⁿ. What is n?
  9. 9.8.8 × 10⁴ =
  10. 10.Use (a − b)² = a² − 2ab + b² to find 89².
  11. 11.Write 4⁷ ÷ 4³ as a single power 4ⁿ. What is n?
  12. 12.A father is 54 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?
  13. 13.What is √2601? =
  14. 14.A father is 17 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  15. 15.What amount will ₹17800 grow to in 2 years at 10% per year compound interest (in ₹)?
  16. 16.A square garden has an area of 3600 square m. How long is each side (in m)?
  17. 17.A square garden has an area of 3364 square m. How long is each side (in m)?
  18. 18.The diagonals of a rhombus are 28 cm and 15 cm. What is its area (in square cm)?
  19. 19.Find the value of x² + 2xy + y² when x = 13 and y = 2.
  20. 20.4.1 × 10³ =
  21. 21.A father is 21 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?
  22. 22.Which of these is a perfect cube? (a) 890 (b) 729 (c) 876
  23. 23.What is the value of (5/7)⁻¹? =
  24. 24.What is 88²? =
  25. 25.What is the smallest whole number by which 832 must be multiplied to get a perfect square?
  26. 26.The sum of four consecutive whole numbers is 146. What is the smallest of them?
  27. 27.How many whole numbers lie between 35² and 36²?
  28. 28.What is the value of (1/4)⁻²? =
  29. 29.What is the value of 3⁻⁵ (as a fraction)? =
  30. 30.Which of these is a perfect square? (a) 386 (b) 361 (c) 373
  31. 31.The sum of four consecutive whole numbers is 226. What is the largest of them?
  32. 32.A trapezium has an area of 243 square cm. Its parallel sides are 17 cm and 10 cm. What is the distance between them (in cm)?
  33. 33.What is the value of (2/7)⁻²? =
  34. 34.The length of a rectangle is 11 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  35. 35.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  36. 36.The length of a rectangle is 15 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  37. 37.Write 2.9 × 10⁻³ as a decimal. =
  38. 38.What is 2³? =
  39. 39.Which of these is a perfect cube? (a) 125 (b) 175 (c) 126
  40. 40.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?

Answer key

  1. 343
  2. 85
  3. 3024
  4. 3
  5. 65
  6. 4
  7. 45
  8. 7
  9. 88000
  10. 7921
  11. 4
  12. 12
  13. 51
  14. 9
  15. 21538
  16. 60
  17. 58
  18. 210
  19. 225
  20. 4100
  21. 5
  22. 729
  23. 7/5
  24. 7744
  25. 13
  26. 35
  27. 70
  28. 16
  29. 1/243
  30. 361
  31. 58
  32. 18
  33. 49/4
  34. 29
  35. 17
  36. 2
  37. 0.0029
  38. 8
  39. 125
  40. 3

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