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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 463 · 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 10³? =
  2. 2.If a + b = 7 and ab = 12, what is a² + b²?
  3. 3.What is √3481? =
  4. 4.Use (a − b)² = a² − 2ab + b² to find 69².
  5. 5.Write 8.9 × 10⁻³ as a decimal. =
  6. 6.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  7. 7.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  8. 8.What is the value of 8⁻¹ (as a fraction)? =
  9. 9.Find the value of x² − 2xy + y² when x = 6 and y = 5.
  10. 10.Write 41,00,000 in standard form as 4.1 × 10ⁿ. What is n?
  11. 11.What is 17³? =
  12. 12.Find the compound interest on ₹20900 at 10% per year for 1 year, compounded every year (in ₹).
  13. 13.What amount will ₹24400 grow to in 2 years at 5% per year compound interest (in ₹)?
  14. 14.What is the value of (5/8)⁻²? =
  15. 15.What is the value of 5¹ × 5⁻³? =
  16. 16.The diagonals of a rhombus are 12 cm and 24 cm. What is its area (in square cm)?
  17. 17.Write 3³ × 3³ as a single power 3ⁿ. What is n?
  18. 18.What is the value of 8⁴? =
  19. 19.A town has 3900 people. The population grows by 15% every year. What will the population be after 1 year?
  20. 20.What is the value of 5⁴ × 5⁻¹? =
  21. 21.Write 3³ × 3² as a single power 3ⁿ. What is n?
  22. 22.If a − b = 6 and ab = 7, what is a² + b²?
  23. 23.What is the value of 3⁻⁴ (as a fraction)? =
  24. 24.What is 33²? =
  25. 25.Which of these is a perfect cube? (a) 729 (b) 933 (c) 765
  26. 26.What is ∛2197? =
  27. 27.Solve: 3m + 5 = m + 19. What is m?
  28. 28.What is the smallest whole number by which 396 must be multiplied to get a perfect square?
  29. 29.What is √1024? =
  30. 30.Solve: 5(t − 1) = 4t + 10. What is t?
  31. 31.If a + b = 11 and ab = 30, what is a² + b²?
  32. 32.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  33. 33.Write 3¹⁶ ÷ 3⁷ as a single power 3ⁿ. What is n?
  34. 34.Solve: 5(p − 1) = 3p + 7. What is p?
  35. 35.What is the value of 2⁻⁶ (as a fraction)? =
  36. 36.6.7 × 10² =
  37. 37.What is the difference between the compound interest and the simple interest on ₹32800 at 15% per year for 2 years (in ₹)?
  38. 38.Write 4.5 × 10⁻¹ as a decimal. =
  39. 39.What amount will ₹54900 grow to in 2 years at 20% per year compound interest (in ₹)?
  40. 40.3.2 × 10⁵ =

Answer key

  1. 1000
  2. 25
  3. 59
  4. 4761
  5. 0.0089
  6. 26
  7. 3
  8. 1/8
  9. 1
  10. 6
  11. 4913
  12. 2090
  13. 26901
  14. 64/25
  15. 1/25
  16. 144
  17. 6
  18. 4096
  19. 4485
  20. 125
  21. 5
  22. 50
  23. 1/81
  24. 1089
  25. 729
  26. 13
  27. 7
  28. 11
  29. 32
  30. 15
  31. 61
  32. 5
  33. 9
  34. 6
  35. 1/64
  36. 670
  37. 738
  38. 0.45
  39. 79056
  40. 320000

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