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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 912 · 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.Write 7.5 × 10⁻¹ as a decimal. =
  2. 2.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  3. 3.A scooter is worth ₹48300. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  4. 4.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  5. 5.The sum of three consecutive whole numbers is 108. What is the largest of them?
  6. 6.A trapezium has an area of 45 square cm. Its parallel sides are 8 cm and 22 cm. What is the distance between them (in cm)?
  7. 7.What is the value of 10⁻³ (as a fraction)? =
  8. 8.A trapezium has parallel sides of 9 cm and 20 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  9. 9.Write 4.9 × 10⁻³ as a decimal. =
  10. 10.What is the difference between the compound interest and the simple interest on ₹50000 at 25% per year for 2 years (in ₹)?
  11. 11.Which of these is a perfect cube? (a) 3548 (b) 3375 (c) 3732
  12. 12.Solve: 3n + 1 = 2n + 2. What is n?
  13. 13.What is ∛12167? =
  14. 14.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  15. 15.What is the value of (3/8)⁻²? =
  16. 16.Which of these is a perfect square? (a) 100 (b) 119 (c) 103
  17. 17.The length of a rectangle is 4 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  18. 18.What is √289? =
  19. 19.What is 10³? =
  20. 20.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  21. 21.Write 2,500 in standard form as 2.5 × 10ⁿ. What is n?
  22. 22.Which of these is a perfect cube? (a) 282 (b) 216 (c) 316
  23. 23.Use (a − b)² = a² − 2ab + b² to find 26².
  24. 24.How many whole numbers lie between 28² and 29²?
  25. 25.Write (4⁵)² as a single power 4ⁿ. What is n?
  26. 26.If a − b = 3 and ab = 4, what is a² + b²?
  27. 27.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  28. 28.Find the value of x² − y² when x = 7 and y = 6.
  29. 29.What is the value of 3² × 3⁻²? =
  30. 30.What is 26²? =
  31. 31.How many whole numbers lie between 50² and 51²?
  32. 32.What is ∛4096? =
  33. 33.What is ∛1000? =
  34. 34.Write (3⁴)⁷ as a single power 3ⁿ. What is n?
  35. 35.What is the value of 4²? =
  36. 36.If a − b = 1 and ab = 2, what is a² + b²?
  37. 37.What is the smallest whole number by which 8 must be divided to get a perfect square?
  38. 38.The length of a rectangle is 4 cm more than its width. Its perimeter is 124 cm. What is its width (in cm)?
  39. 39.What amount will ₹44100 grow to in 2 years at 10% per year compound interest (in ₹)?
  40. 40.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 0.75
  2. 441
  3. 36225
  4. 5
  5. 37
  6. 3
  7. 1/1000
  8. 174
  9. 0.0049
  10. 3125
  11. 3375
  12. 1
  13. 23
  14. 25
  15. 64/9
  16. 100
  17. 16
  18. 17
  19. 1000
  20. 486
  21. 3
  22. 216
  23. 676
  24. 56
  25. 10
  26. 17
  27. 4
  28. 13
  29. 1
  30. 676
  31. 100
  32. 16
  33. 10
  34. 28
  35. 16
  36. 5
  37. 2
  38. 29
  39. 53361
  40. 56

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