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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 746 · 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.Which of these is a perfect square? (a) 169 (b) 194 (c) 174
  2. 2.What is ∛729? =
  3. 3.Solve: 6(t − 2) = 5t + 1. What is t?
  4. 4.What is the difference between the compound interest and the simple interest on ₹35000 at 4% per year for 2 years (in ₹)?
  5. 5.A square garden has an area of 1024 square m. How long is each side (in m)?
  6. 6.What is the value of 5² × 5⁻³? =
  7. 7.What is √1521? =
  8. 8.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  9. 9.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  10. 10.What is 20³? =
  11. 11.A square garden has an area of 49 square m. How long is each side (in m)?
  12. 12.What is 14³? =
  13. 13.A trapezium has parallel sides of 24 cm and 4 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  14. 14.Find the compound interest on ₹7300 at 15% per year for 1 year, compounded every year (in ₹).
  15. 15.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  16. 16.What is 7³? =
  17. 17.Write 3.7 × 10⁻⁴ as a decimal. =
  18. 18.Write 2,600 in standard form as 2.6 × 10ⁿ. What is n?
  19. 19.What is the difference between the compound interest and the simple interest on ₹6300 at 10% per year for 2 years (in ₹)?
  20. 20.What is the value of 2⁸? =
  21. 21.What is the smallest whole number by which 405 must be multiplied to get a perfect square?
  22. 22.Which of these is a perfect cube? (a) 729 (b) 807 (c) 799
  23. 23.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  24. 24.What is the value of 2⁻⁵ (as a fraction)? =
  25. 25.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  26. 26.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
  27. 27.What is the smallest whole number by which 384 must be divided to get a perfect square?
  28. 28.Use (a − b)² = a² − 2ab + b² to find 73².
  29. 29.If a + b = 19 and ab = 88, what is a² + b²?
  30. 30.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  31. 31.A cuboid is 4 cm long, 11 cm wide and 3 cm high. What is its total surface area (in square cm)?
  32. 32.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  33. 33.If a + b = 5 and ab = 4, what is a² + b²?
  34. 34.Use a² − b² = (a + b)(a − b) to find 35² − 29².
  35. 35.What is the smallest whole number by which 45 must be multiplied to get a perfect square?
  36. 36.What is the value of (2/5)⁻¹? =
  37. 37.If a − b = 5 and ab = 6, what is a² + b²?
  38. 38.Solve: 5x + 2 = x + 30. What is x?
  39. 39.What is 12³? =
  40. 40.What is the value of 3⁵ × 3⁻²? =

Answer key

  1. 169
  2. 9
  3. 13
  4. 56
  5. 32
  6. 1/5
  7. 39
  8. 25
  9. 121
  10. 8000
  11. 7
  12. 2744
  13. 70
  14. 1095
  15. 10
  16. 343
  17. 0.00037
  18. 3
  19. 63
  20. 256
  21. 5
  22. 729
  23. 2
  24. 1/32
  25. 7
  26. 324
  27. 6
  28. 5329
  29. 185
  30. 18
  31. 178
  32. 17
  33. 17
  34. 384
  35. 5
  36. 5/2
  37. 37
  38. 7
  39. 1728
  40. 27

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