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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 791 · 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.Solve: y/2 + y/4 = 3. What is y?
  2. 2.What amount will ₹24800 grow to in 2 years at 10% per year compound interest (in ₹)?
  3. 3.What is 12³? =
  4. 4.What is ∛4913? =
  5. 5.A trapezium has parallel sides of 14 cm and 19 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  6. 6.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  7. 7.Write (2²)⁸ as a single power 2ⁿ. What is n?
  8. 8.What is the difference between the compound interest and the simple interest on ₹52500 at 4% per year for 2 years (in ₹)?
  9. 9.A trapezium has an area of 63 square cm. Its parallel sides are 5 cm and 16 cm. What is the distance between them (in cm)?
  10. 10.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
  11. 11.A square garden has an area of 2500 square m. How long is each side (in m)?
  12. 12.Use (a + b)² = a² + 2ab + b² to find 91².
  13. 13.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  14. 14.5.9 × 10⁷ =
  15. 15.If a + b = 8 and ab = 7, what is a² + b²?
  16. 16.Use (a + b)(a − b) = a² − b² to find 46 × 34.
  17. 17.Solve: 5(y − 2) = 3y + 18. What is y?
  18. 18.Solve: 6(y − 4) = 2y + 52. What is y?
  19. 19.Solve: n/6 + n/5 = 44. What is n?
  20. 20.The length of a rectangle is 2 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  21. 21.Write 9.5 × 10⁻³ as a decimal. =
  22. 22.What is √6241? =
  23. 23.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  24. 24.Write 6.4 × 10⁻³ as a decimal. =
  25. 25.What is the smallest whole number by which 192 must be multiplied to get a perfect square?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 44².
  27. 27.How many whole numbers lie between 11² and 12²?
  28. 28.What is the value of (2/9)⁻²? =
  29. 29.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
  30. 30.A square garden has an area of 361 square m. How long is each side (in m)?
  31. 31.Find the value of x² − 2xy + y² when x = 11 and y = 2.
  32. 32.A scooter is worth ₹12000. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
  33. 33.Use (a + b)(a − b) = a² − b² to find 79 × 61.
  34. 34.Write 2.5 × 10⁻¹ as a decimal. =
  35. 35.If a + b = 13 and ab = 12, what is a² + b²?
  36. 36.Find the value of x² − y² when x = 13 and y = 8.
  37. 37.What is the value of (2/5)⁻¹? =
  38. 38.A trapezium has parallel sides of 24 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  39. 39.What is 52²? =
  40. 40.A square garden has an area of 3481 square m. How long is each side (in m)?

Answer key

  1. 4
  2. 30008
  3. 1728
  4. 17
  5. 33
  6. 25
  7. 16
  8. 84
  9. 6
  10. 484
  11. 50
  12. 8281
  13. 2
  14. 59000000
  15. 50
  16. 1564
  17. 14
  18. 19
  19. 120
  20. 7
  21. 0.0095
  22. 79
  23. 144
  24. 0.0064
  25. 3
  26. 1936
  27. 22
  28. 81/4
  29. 400
  30. 19
  31. 81
  32. 6750
  33. 4819
  34. 0.25
  35. 145
  36. 105
  37. 5/2
  38. 160
  39. 2704
  40. 59

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