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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 386 · 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)(a − b) = a² − b² to find 98 × 82.
  2. 2.What is the value of 10³? =
  3. 3.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  4. 4.The length of a rectangle is 3 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  5. 5.Which of these is a perfect cube? (a) 1000 (b) 1144 (c) 1050
  6. 6.Use (a + b)² = a² + 2ab + b² to find 56².
  7. 7.What is the value of 3⁴ × 3⁻²? =
  8. 8.What is the value of 10⁵? =
  9. 9.The diagonals of a rhombus are 8 cm and 27 cm. What is its area (in square cm)?
  10. 10.Find the compound interest on ₹14600 at 8% per year for 1 year, compounded every year (in ₹).
  11. 11.What is the value of 3¹ × 3⁻⁶? =
  12. 12.Write (8⁵)⁸ as a single power 8ⁿ. What is n?
  13. 13.Use (a + b)(a − b) = a² − b² to find 69 × 51.
  14. 14.Each edge of a cube is 23 cm. What is its total surface area (in square cm)?
  15. 15.A scooter is worth ₹53100. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  16. 16.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?
  17. 17.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  18. 18.Solve: 3(y − 1) = y + 7. What is y?
  19. 19.4.8 × 10⁵ =
  20. 20.What is the value of 3⁴ × 3⁻¹? =
  21. 21.What is the smallest whole number by which 60 must be divided to get a perfect square?
  22. 22.Write 2.6 × 10⁻² as a decimal. =
  23. 23.A scooter is worth ₹24000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  24. 24.What is the value of 2⁶? =
  25. 25.A father is 16 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  26. 26.What is the value of 7⁻² (as a fraction)? =
  27. 27.What is the value of 2¹³? =
  28. 28.The sum of three consecutive whole numbers is 126. What is the largest of them?
  29. 29.A scooter is worth ₹54100. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  30. 30.How many whole numbers lie between 10² and 11²?
  31. 31.What is the value of 10⁴ × 10⁻²? =
  32. 32.If a + b = 19 and ab = 88, what is a² + b²?
  33. 33.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  34. 34.The sum of three consecutive whole numbers is 78. What is the smallest of them?
  35. 35.What is the difference between the compound interest and the simple interest on ₹43600 at 5% per year for 2 years (in ₹)?
  36. 36.Use (a − b)² = a² − 2ab + b² to find 94².
  37. 37.If a + b = 11 and ab = 18, what is a² + b²?
  38. 38.Write 4¹¹ ÷ 4⁴ as a single power 4ⁿ. What is n?
  39. 39.Use a² − b² = (a + b)(a − b) to find 46² − 41².
  40. 40.The diagonals of a rhombus are 22 cm and 4 cm. What is its area (in square cm)?

Answer key

  1. 8036
  2. 1000
  3. 2
  4. 10
  5. 1000
  6. 3136
  7. 9
  8. 100000
  9. 108
  10. 1168
  11. 1/243
  12. 40
  13. 3519
  14. 3174
  15. 50976
  16. 9
  17. 2
  18. 5
  19. 480000
  20. 27
  21. 15
  22. 0.026
  23. 12288
  24. 64
  25. 11
  26. 1/49
  27. 8192
  28. 43
  29. 51936
  30. 20
  31. 100
  32. 185
  33. 1176
  34. 25
  35. 109
  36. 8836
  37. 85
  38. 7
  39. 435
  40. 44

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