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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 65 · 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 amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
  2. 2.A trapezium has parallel sides of 11 cm and 17 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  3. 3.Solve: y/2 + y/4 = 21. What is y?
  4. 4.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?
  5. 5.The length of a rectangle is 2 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  6. 6.Write 6¹³ ÷ 6⁹ as a single power 6ⁿ. What is n?
  7. 7.What is √729? =
  8. 8.What is √7396? =
  9. 9.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 18².
  11. 11.What is the value of 5³ × 5⁻⁵? =
  12. 12.A cuboid is 7 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  13. 13.Find the value of x² − 2xy + y² when x = 3 and y = 1.
  14. 14.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  15. 15.What is the difference between the compound interest and the simple interest on ₹30000 at 12% per year for 2 years (in ₹)?
  16. 16.The sum of four consecutive whole numbers is 106. What is the largest of them?
  17. 17.Write (2²)⁵ as a single power 2ⁿ. What is n?
  18. 18.What amount will ₹27000 grow to in 3 years at 10% per year compound interest (in ₹)?
  19. 19.What is the smallest whole number by which 704 must be divided to get a perfect square?
  20. 20.A square garden has an area of 3481 square m. How long is each side (in m)?
  21. 21.Solve: 4p + 2 = 2p + 4. What is p?
  22. 22.What is 79²? =
  23. 23.Use (a + b)² = a² + 2ab + b² to find 83².
  24. 24.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  25. 25.A room is 6 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.What is the value of 8⁴? =
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.Write 88,000 in standard form as 8.8 × 10ⁿ. What is n?
  29. 29.Use (a + b)² = a² + 2ab + b² to find 22².
  30. 30.Use (a − b)² = a² − 2ab + b² to find 81².
  31. 31.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  32. 32.Find the value of x² − y² when x = 15 and y = 11.
  33. 33.What amount will ₹59200 grow to in 1 year at 25% per year compound interest (in ₹)?
  34. 34.Solve: x/5 + x/4 = 36. What is x?
  35. 35.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  36. 36.Find the compound interest on ₹55200 at 25% per year for 2 years, compounded every year (in ₹).
  37. 37.What is the value of 3⁸? =
  38. 38.How many whole numbers lie between 15² and 16²?
  39. 39.Solve: 8x + 2 = 4x + 30. What is x?
  40. 40.What is ∛64? =

Answer key

  1. 85169
  2. 56
  3. 28
  4. 361
  5. 11
  6. 4
  7. 27
  8. 86
  9. 2
  10. 324
  11. 1/25
  12. 378
  13. 4
  14. 289
  15. 432
  16. 28
  17. 10
  18. 35937
  19. 11
  20. 59
  21. 1
  22. 6241
  23. 6889
  24. 5
  25. 80
  26. 4096
  27. 64
  28. 4
  29. 484
  30. 6561
  31. 9
  32. 104
  33. 74000
  34. 80
  35. 10
  36. 31050
  37. 6561
  38. 30
  39. 7
  40. 4

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