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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 417 · 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 √9216? =
  2. 2.Find the compound interest on ₹8500 at 12% per year for 1 year, compounded every year (in ₹).
  3. 3.Which of these is a perfect square? (a) 157 (b) 144 (c) 150
  4. 4.What is √1089? =
  5. 5.What is the smallest whole number by which 250 must be multiplied to get a perfect square?
  6. 6.What is √324? =
  7. 7.What is the value of 2⁵? =
  8. 8.Solve: 8m + 11 = 3m + 36. What is m?
  9. 9.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  10. 10.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What amount will ₹12200 grow to in 1 year at 15% per year compound interest (in ₹)?
  12. 12.What is 92²? =
  13. 13.Use a² − b² = (a + b)(a − b) to find 77² − 51².
  14. 14.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  15. 15.A town has 16000 people. The population grows by 5% every year. What will the population be after 3 years?
  16. 16.The length of a rectangle is 12 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  17. 17.What is 17³? =
  18. 18.Use (a − b)² = a² − 2ab + b² to find 91².
  19. 19.What is the smallest whole number by which 99 must be multiplied to get a perfect square?
  20. 20.Find the value of x² − y² when x = 13 and y = 7.
  21. 21.Solve: 5x + 7 = x + 63. What is x?
  22. 22.What is the value of 10⁵ × 10⁻⁶? =
  23. 23.Which of these is a perfect square? (a) 410 (b) 400 (c) 402
  24. 24.A room is 12 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.6.1 × 10² =
  26. 26.Which of these is a perfect cube? (a) 2002 (b) 1728 (c) 2157
  27. 27.Find the value of x² − 2xy + y² when x = 11 and y = 10.
  28. 28.Write 5¹³ ÷ 5⁸ as a single power 5ⁿ. What is n?
  29. 29.A square garden has an area of 529 square m. How long is each side (in m)?
  30. 30.A cuboid is 4 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  31. 31.How many whole numbers lie between 10² and 11²?
  32. 32.What is 16²? =
  33. 33.What is the value of (4/5)⁻¹? =
  34. 34.Which of these is a perfect cube? (a) 3317 (b) 2744 (c) 2952
  35. 35.Find the compound interest on ₹13200 at 15% per year for 2 years, compounded every year (in ₹).
  36. 36.Use (a + b)² = a² + 2ab + b² to find 41².
  37. 37.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
  38. 38.The sum of two consecutive whole numbers is 105. What is the largest of them?
  39. 39.A room is 6 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  40. 40.A trapezium has an area of 91 square cm. Its parallel sides are 4 cm and 10 cm. What is the distance between them (in cm)?

Answer key

  1. 96
  2. 1020
  3. 144
  4. 33
  5. 10
  6. 18
  7. 32
  8. 5
  9. 20
  10. 64
  11. 14030
  12. 8464
  13. 3328
  14. 4
  15. 18522
  16. 13
  17. 4913
  18. 8281
  19. 11
  20. 120
  21. 14
  22. 1/10
  23. 400
  24. 220
  25. 610
  26. 1728
  27. 1
  28. 5
  29. 23
  30. 176
  31. 20
  32. 256
  33. 5/4
  34. 2744
  35. 4257
  36. 1681
  37. 900
  38. 53
  39. 72
  40. 13

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