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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 896 · 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 25²? =
  2. 2.Use (a + b)(a − b) = a² − b² to find 81 × 79.
  3. 3.The length of a rectangle is 8 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  4. 4.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  5. 5.What is √529? =
  6. 6.A trapezium has parallel sides of 10 cm and 25 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  7. 7.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  8. 8.Solve: 6(t − 2) = 3t + 9. What is t?
  9. 9.The sum of four consecutive whole numbers is 118. What is the largest of them?
  10. 10.A square garden has an area of 2025 square m. How long is each side (in m)?
  11. 11.Write 5.1 × 10⁻¹ as a decimal. =
  12. 12.What is the smallest whole number by which 8 must be divided to get a perfect square?
  13. 13.What is the value of 3¹ × 3⁻⁵? =
  14. 14.What is the value of 10⁻¹ (as a fraction)? =
  15. 15.Use (a + b)(a − b) = a² − b² to find 24 × 16.
  16. 16.A square garden has an area of 3481 square m. How long is each side (in m)?
  17. 17.What is the smallest whole number by which 448 must be multiplied to get a perfect square?
  18. 18.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  19. 19.Solve: n/5 + n/4 = 9. What is n?
  20. 20.Write 4.9 × 10⁻² as a decimal. =
  21. 21.What is the value of 5¹ × 5⁻³? =
  22. 22.The sum of two consecutive whole numbers is 87. What is the smallest of them?
  23. 23.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  24. 24.Solve: x/5 + x/3 = 16. What is x?
  25. 25.A trapezium has an area of 135 square cm. Its parallel sides are 9 cm and 18 cm. What is the distance between them (in cm)?
  26. 26.Solve: y/4 + y/2 = 18. What is y?
  27. 27.A square garden has an area of 121 square m. How long is each side (in m)?
  28. 28.Find the compound interest on ₹35800 at 15% per year for 1 year, compounded every year (in ₹).
  29. 29.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  30. 30.Use (a − b)² = a² − 2ab + b² to find 39².
  31. 31.What amount will ₹9800 grow to in 1 year at 8% per year compound interest (in ₹)?
  32. 32.What is the value of 4⁻² (as a fraction)? =
  33. 33.What is the difference between the compound interest and the simple interest on ₹25000 at 4% per year for 2 years (in ₹)?
  34. 34.What is ∛12167? =
  35. 35.3.2 × 10⁵ =
  36. 36.Which of these is a perfect cube? (a) 440 (b) 465 (c) 343
  37. 37.Find the value of x² − y² when x = 5 and y = 4.
  38. 38.Use (a + b)² = a² + 2ab + b² to find 71².
  39. 39.Write 8⁹ × 8⁴ as a single power 8ⁿ. What is n?
  40. 40.What is √289? =

Answer key

  1. 625
  2. 6399
  3. 13
  4. 6
  5. 23
  6. 315
  7. 486
  8. 7
  9. 31
  10. 45
  11. 0.51
  12. 2
  13. 1/81
  14. 1/10
  15. 384
  16. 59
  17. 7
  18. 25
  19. 20
  20. 0.049
  21. 1/25
  22. 43
  23. 2
  24. 30
  25. 10
  26. 24
  27. 11
  28. 5370
  29. 5
  30. 1521
  31. 10584
  32. 1/16
  33. 40
  34. 23
  35. 320000
  36. 343
  37. 9
  38. 5041
  39. 13
  40. 17

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