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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 2 · 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 smallest whole number by which 128 must be divided to get a perfect cube?
  2. 2.What is the smallest whole number by which 192 must be multiplied to get a perfect square?
  3. 3.Solve: 4p + 13 = 3p + 21. What is p?
  4. 4.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  5. 5.What amount will ₹19000 grow to in 3 years at 10% per year compound interest (in ₹)?
  6. 6.What is √7396? =
  7. 7.Use (a + b)(a − b) = a² − b² to find 96 × 84.
  8. 8.Use (a + b)(a − b) = a² − b² to find 89 × 71.
  9. 9.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  10. 10.What is the difference between the compound interest and the simple interest on ₹42500 at 4% per year for 2 years (in ₹)?
  11. 11.What is ∛8000? =
  12. 12.Use (a + b)² = a² + 2ab + b² to find 15².
  13. 13.What is the value of (7/9)⁻²? =
  14. 14.What is ∛2197? =
  15. 15.The diagonals of a rhombus are 26 cm and 18 cm. What is its area (in square cm)?
  16. 16.What is 63²? =
  17. 17.Write 2⁴ ÷ 2² as a single power 2ⁿ. What is n?
  18. 18.Write 7 × 10⁻¹ as a decimal. =
  19. 19.Use a² − b² = (a + b)(a − b) to find 75² − 55².
  20. 20.What is ∛15625? =
  21. 21.What is the value of 5³ × 5⁻⁶? =
  22. 22.What is the value of (7/8)⁻¹? =
  23. 23.What is 15³? =
  24. 24.A cuboid is 13 cm long, 12 cm wide and 2 cm high. What is its total surface area (in square cm)?
  25. 25.A square garden has an area of 2601 square m. How long is each side (in m)?
  26. 26.What is the value of (3/5)⁻¹? =
  27. 27.2.1 × 10⁶ =
  28. 28.What is 2³? =
  29. 29.The diagonals of a rhombus are 20 cm and 4 cm. What is its area (in square cm)?
  30. 30.What is the value of (8/9)⁻²? =
  31. 31.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  32. 32.Which of these is a perfect square? (a) 903 (b) 900 (c) 914
  33. 33.A town has 24000 people. The population grows by 5% every year. What will the population be after 3 years?
  34. 34.A square garden has an area of 2401 square m. How long is each side (in m)?
  35. 35.What is 19³? =
  36. 36.Write 7.9 × 10⁻² as a decimal. =
  37. 37.Write 700 in standard form as 7 × 10ⁿ. What is n?
  38. 38.Write 9⁵ × 9⁸ as a single power 9ⁿ. What is n?
  39. 39.What is 38²? =
  40. 40.Which of these is a perfect cube? (a) 1211 (b) 1000 (c) 1067

Answer key

  1. 2
  2. 3
  3. 8
  4. 216
  5. 25289
  6. 86
  7. 8064
  8. 6319
  9. 25
  10. 68
  11. 20
  12. 225
  13. 81/49
  14. 13
  15. 234
  16. 3969
  17. 2
  18. 0.7
  19. 2600
  20. 25
  21. 1/125
  22. 8/7
  23. 3375
  24. 412
  25. 51
  26. 5/3
  27. 2100000
  28. 8
  29. 40
  30. 81/64
  31. 9
  32. 900
  33. 27783
  34. 49
  35. 6859
  36. 0.079
  37. 2
  38. 13
  39. 1444
  40. 1000

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