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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 635 · 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.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  2. 2.What is the difference between the compound interest and the simple interest on ₹30000 at 4% per year for 2 years (in ₹)?
  3. 3.What amount will ₹10500 grow to in 1 year at 10% per year compound interest (in ₹)?
  4. 4.What is the difference between the compound interest and the simple interest on ₹31200 at 5% per year for 2 years (in ₹)?
  5. 5.Solve: 8n + 12 = n + 40. What is n?
  6. 6.Use (a + b)² = a² + 2ab + b² to find 107².
  7. 7.What amount will ₹48900 grow to in 1 year at 12% per year compound interest (in ₹)?
  8. 8.Use a² − b² = (a + b)(a − b) to find 93² − 3².
  9. 9.What is the value of 10² × 10⁻¹? =
  10. 10.A trapezium has parallel sides of 30 cm and 12 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  11. 11.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  12. 12.Find the value of x² + 2xy + y² when x = 11 and y = 3.
  13. 13.Use a² − b² = (a + b)(a − b) to find 32² − 10².
  14. 14.A trapezium has an area of 169 square cm. Its parallel sides are 22 cm and 4 cm. What is the distance between them (in cm)?
  15. 15.Write 720 in standard form as 7.2 × 10ⁿ. What is n?
  16. 16.Use (a + b)(a − b) = a² − b² to find 107 × 93.
  17. 17.The sum of three consecutive whole numbers is 120. What is the largest of them?
  18. 18.What is the value of (5/8)⁻²? =
  19. 19.Which of these is a perfect square? (a) 523 (b) 492 (c) 484
  20. 20.Each edge of a cube is 25 cm. What is its total surface area (in square cm)?
  21. 21.What is the value of (1/7)⁻²? =
  22. 22.What is 67²? =
  23. 23.If a + b = 3 and ab = 2, what is a² + b²?
  24. 24.What is √7569? =
  25. 25.Which of these is a perfect square? (a) 320 (b) 303 (c) 289
  26. 26.Solve: 3(t − 3) = 2t + 7. What is t?
  27. 27.Find the compound interest on ₹24200 at 4% per year for 1 year, compounded every year (in ₹).
  28. 28.Use (a − b)² = a² − 2ab + b² to find 29².
  29. 29.If a − b = 3 and ab = 4, what is a² + b²?
  30. 30.Solve: y/4 + y/2 = 12. What is y?
  31. 31.A father is 7 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  32. 32.The sum of two consecutive whole numbers is 73. What is the smallest of them?
  33. 33.Use (a + b)² = a² + 2ab + b² to find 71².
  34. 34.Find the value of x² − y² when x = 15 and y = 11.
  35. 35.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  36. 36.A scooter is worth ₹27600. Its value falls by 8% every year. What will it be worth after 1 year (in ₹)?
  37. 37.Write 4.6 × 10⁻² as a decimal. =
  38. 38.Which of these is a perfect cube? (a) 1634 (b) 1352 (c) 1331
  39. 39.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  40. 40.Write 9² × 9⁴ as a single power 9ⁿ. What is n?

Answer key

  1. 10
  2. 48
  3. 11550
  4. 78
  5. 4
  6. 11449
  7. 54768
  8. 8640
  9. 10
  10. 105
  11. 15
  12. 196
  13. 924
  14. 13
  15. 2
  16. 9951
  17. 41
  18. 64/25
  19. 484
  20. 3750
  21. 49
  22. 4489
  23. 5
  24. 87
  25. 289
  26. 16
  27. 968
  28. 841
  29. 17
  30. 16
  31. 5
  32. 36
  33. 5041
  34. 104
  35. 2
  36. 25392
  37. 0.046
  38. 1331
  39. 49
  40. 6

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