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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 90 · 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 sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  2. 2.Find the value of x² − y² when x = 5 and y = 2.
  3. 3.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
  4. 4.A square garden has an area of 484 square m. How long is each side (in m)?
  5. 5.Write 7⁸ ÷ 7² as a single power 7ⁿ. What is n?
  6. 6.Use (a + b)(a − b) = a² − b² to find 106 × 94.
  7. 7.What is the value of 2⁵ × 2⁻²? =
  8. 8.Which of these is a perfect square? (a) 247 (b) 225 (c) 255
  9. 9.Solve: 6x + 8 = x + 73. What is x?
  10. 10.What is ∛216? =
  11. 11.A scooter is worth ₹24000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  12. 12.Solve: 6(y − 5) = 2y + 2. What is y?
  13. 13.What is 56²? =
  14. 14.A trapezium has an area of 270 square cm. Its parallel sides are 11 cm and 19 cm. What is the distance between them (in cm)?
  15. 15.Write 2,90,000 in standard form as 2.9 × 10ⁿ. What is n?
  16. 16.Solve: m/5 + m/2 = 7. What is m?
  17. 17.What is the value of 10⁶ × 10⁻⁶? =
  18. 18.Which of these is a perfect cube? (a) 729 (b) 878 (c) 730
  19. 19.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  20. 20.Which of these is a perfect square? (a) 1535 (b) 1522 (c) 1521
  21. 21.What is the value of 2⁶ × 2⁻¹? =
  22. 22.What is the value of 8⁻¹ (as a fraction)? =
  23. 23.Write 4⁴ × 4⁹ as a single power 4ⁿ. What is n?
  24. 24.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  25. 25.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  26. 26.Find the compound interest on ₹48600 at 20% per year for 1 year, compounded every year (in ₹).
  27. 27.What is the value of 3⁻⁵ (as a fraction)? =
  28. 28.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.Use (a − b)² = a² − 2ab + b² to find 26².
  30. 30.What is the value of 10⁴? =
  31. 31.A square garden has an area of 1024 square m. How long is each side (in m)?
  32. 32.The length of a rectangle is 12 cm more than its width. Its perimeter is 112 cm. What is its width (in cm)?
  33. 33.What is √3844? =
  34. 34.A trapezium has parallel sides of 8 cm and 7 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  35. 35.What is 79²? =
  36. 36.The sum of two consecutive whole numbers is 53. What is the largest of them?
  37. 37.Solve: y/5 + y/6 = 44. What is y?
  38. 38.What is the value of (5/7)⁻¹? =
  39. 39.A cuboid is 14 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  40. 40.Which of these is a perfect square? (a) 354 (b) 330 (c) 324

Answer key

  1. 121
  2. 21
  3. 9261
  4. 22
  5. 6
  6. 9964
  7. 8
  8. 225
  9. 13
  10. 6
  11. 14739
  12. 8
  13. 3136
  14. 18
  15. 5
  16. 10
  17. 1
  18. 729
  19. 8
  20. 1521
  21. 32
  22. 1/8
  23. 13
  24. 169
  25. 18
  26. 9720
  27. 1/243
  28. 27
  29. 676
  30. 10000
  31. 32
  32. 22
  33. 62
  34. 60
  35. 6241
  36. 27
  37. 120
  38. 7/5
  39. 406
  40. 324

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