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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 877 · 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.Find the compound interest on ₹12500 at 12% per year for 2 years, compounded every year (in ₹).
  2. 2.Solve: 8n + 5 = 7n + 7. What is n?
  3. 3.Which of these is a perfect square? (a) 1597 (b) 1588 (c) 1521
  4. 4.The sum of two consecutive whole numbers is 11. What is the largest of them?
  5. 5.What is the value of 9²? =
  6. 6.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  7. 7.Use (a + b)² = a² + 2ab + b² to find 55².
  8. 8.Use (a + b)(a − b) = a² − b² to find 47 × 33.
  9. 9.Find the value of x² + 2xy + y² when x = 5 and y = 2.
  10. 10.Which of these is a perfect cube? (a) 1945 (b) 1728 (c) 2013
  11. 11.What is the smallest whole number by which 486 must be multiplied to get a perfect square?
  12. 12.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  13. 13.A trapezium has an area of 37 square cm. Its parallel sides are 25 cm and 12 cm. What is the distance between them (in cm)?
  14. 14.What is the value of 6²? =
  15. 15.The sum of four consecutive whole numbers is 42. What is the largest of them?
  16. 16.A square garden has an area of 3600 square m. How long is each side (in m)?
  17. 17.What is the smallest whole number by which 1134 must be multiplied to get a perfect square?
  18. 18.Write 2³ × 2³ as a single power 2ⁿ. What is n?
  19. 19.A cuboid is 5 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  20. 20.What is the difference between the compound interest and the simple interest on ₹20900 at 10% per year for 2 years (in ₹)?
  21. 21.The length of a rectangle is 3 cm more than its width. Its perimeter is 22 cm. What is its width (in cm)?
  22. 22.What is 16²? =
  23. 23.Which of these is a perfect square? (a) 1600 (b) 1612 (c) 1603
  24. 24.How many whole numbers lie between 17² and 18²?
  25. 25.How many whole numbers lie between 33² and 34²?
  26. 26.A father is 27 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.What amount will ₹11800 grow to in 1 year at 20% per year compound interest (in ₹)?
  29. 29.What is the value of 3⁶? =
  30. 30.The sum of four consecutive whole numbers is 178. What is the largest of them?
  31. 31.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  32. 32.Find the compound interest on ₹40900 at 10% per year for 2 years, compounded every year (in ₹).
  33. 33.What is 53²? =
  34. 34.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛10648? =
  36. 36.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  37. 37.A square garden has an area of 1681 square m. How long is each side (in m)?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 42².
  39. 39.2.2 × 10⁷ =
  40. 40.A cuboid is 6 cm long, 6 cm wide and 7 cm high. What is its total surface area (in square cm)?

Answer key

  1. 3180
  2. 2
  3. 1521
  4. 6
  5. 81
  6. 25
  7. 3025
  8. 1551
  9. 49
  10. 1728
  11. 6
  12. 11
  13. 2
  14. 36
  15. 12
  16. 60
  17. 14
  18. 6
  19. 220
  20. 209
  21. 4
  22. 256
  23. 1600
  24. 34
  25. 66
  26. 3
  27. 8
  28. 14160
  29. 729
  30. 46
  31. 36
  32. 8589
  33. 2809
  34. 13
  35. 22
  36. 19
  37. 41
  38. 1764
  39. 22000000
  40. 240

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