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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 858 · 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.If a + b = 15 and ab = 54, what is a² + b²?
  2. 2.Find the compound interest on ₹25400 at 25% per year for 1 year, compounded every year (in ₹).
  3. 3.A father is 16 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  4. 4.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  5. 5.What is √8836? =
  6. 6.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  7. 7.A father is 60 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  8. 8.Which of these is a perfect square? (a) 169 (b) 192 (c) 182
  9. 9.A father is 13 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  10. 10.How many whole numbers lie between 39² and 40²?
  11. 11.Find the value of x² + 2xy + y² when x = 12 and y = 3.
  12. 12.Write 9¹³ ÷ 9⁸ as a single power 9ⁿ. What is n?
  13. 13.What is ∛9261? =
  14. 14.Use (a + b)(a − b) = a² − b² to find 54 × 46.
  15. 15.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  16. 16.The length of a rectangle is 1 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  17. 17.Write 8,60,00,000 in standard form as 8.6 × 10ⁿ. What is n?
  18. 18.What is √5184? =
  19. 19.What is the value of 3⁸? =
  20. 20.Solve: 9x + 3 = 7x + 9. What is x?
  21. 21.Find the value of x² − y² when x = 12 and y = 3.
  22. 22.A cuboid is 4 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  23. 23.What is the value of 2¹⁰? =
  24. 24.What is the value of 3⁶ × 3⁻²? =
  25. 25.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
  26. 26.Solve: 5y + 12 = 4y + 19. What is y?
  27. 27.How many whole numbers lie between 13² and 14²?
  28. 28.What is √3136? =
  29. 29.Write 8,600 in standard form as 8.6 × 10ⁿ. What is n?
  30. 30.What is ∛1000? =
  31. 31.Which of these is a perfect square? (a) 423 (b) 440 (c) 400
  32. 32.A trapezium has parallel sides of 21 cm and 12 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  33. 33.A trapezium has parallel sides of 14 cm and 3 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  34. 34.What is 14³? =
  35. 35.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.Write 5⁵ × 5³ as a single power 5ⁿ. What is n?
  37. 37.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  38. 38.A trapezium has parallel sides of 29 cm and 13 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  39. 39.What is the value of 5⁵? =
  40. 40.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?

Answer key

  1. 117
  2. 6350
  3. 5
  4. 225
  5. 94
  6. 625
  7. 12
  8. 169
  9. 5
  10. 78
  11. 225
  12. 5
  13. 21
  14. 2484
  15. 150
  16. 14
  17. 7
  18. 72
  19. 6561
  20. 3
  21. 135
  22. 192
  23. 1024
  24. 81
  25. 49
  26. 7
  27. 26
  28. 56
  29. 3
  30. 10
  31. 400
  32. 99
  33. 102
  34. 2744
  35. 216
  36. 8
  37. 4
  38. 252
  39. 3125
  40. 36

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