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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 240 · 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 53²? =
  2. 2.What is √1024? =
  3. 3.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.The sum of three consecutive whole numbers is 99. What is the largest of them?
  5. 5.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  6. 6.Use (a + b)(a − b) = a² − b² to find 105 × 95.
  7. 7.What is the value of 6⁶? =
  8. 8.Which of these is a perfect square? (a) 738 (b) 780 (c) 729
  9. 9.The sum of two consecutive whole numbers is 35. What is the smallest of them?
  10. 10.What is the smallest whole number by which 147 must be divided to get a perfect square?
  11. 11.What is ∛8? =
  12. 12.Use (a + b)² = a² + 2ab + b² to find 52².
  13. 13.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  14. 14.Write 3¹⁰ ÷ 3⁷ as a single power 3ⁿ. What is n?
  15. 15.What amount will ₹17300 grow to in 1 year at 15% per year compound interest (in ₹)?
  16. 16.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.Find the value of x² − 2xy + y² when x = 7 and y = 4.
  18. 18.Solve: 3(n − 3) = 2n + 9. What is n?
  19. 19.What is the value of 4⁷? =
  20. 20.3.8 × 10⁴ =
  21. 21.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  22. 22.What is the value of (1/4)⁻¹? =
  23. 23.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  24. 24.What is the difference between the compound interest and the simple interest on ₹22500 at 12% per year for 2 years (in ₹)?
  25. 25.Use (a − b)² = a² − 2ab + b² to find 41².
  26. 26.Solve: 5(p − 2) = 2p + 11. What is p?
  27. 27.What is ∛343? =
  28. 28.What is the difference between the compound interest and the simple interest on ₹20000 at 8% per year for 2 years (in ₹)?
  29. 29.How many whole numbers lie between 26² and 27²?
  30. 30.Which of these is a perfect cube? (a) 1000 (b) 1156 (c) 1174
  31. 31.A father is 24 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  32. 32.Use (a + b)(a − b) = a² − b² to find 73 × 67.
  33. 33.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  34. 34.Use (a + b)(a − b) = a² − b² to find 97 × 83.
  35. 35.A trapezium has an area of 20 square cm. Its parallel sides are 15 cm and 5 cm. What is the distance between them (in cm)?
  36. 36.Use (a − b)² = a² − 2ab + b² to find 84².
  37. 37.Which of these is a perfect square? (a) 583 (b) 585 (c) 576
  38. 38.A cuboid is 13 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  39. 39.Use (a − b)² = a² − 2ab + b² to find 94².
  40. 40.What is the smallest whole number by which 45 must be divided to get a perfect square?

Answer key

  1. 2809
  2. 32
  3. 64
  4. 34
  5. 5
  6. 9975
  7. 46656
  8. 729
  9. 17
  10. 3
  11. 2
  12. 2704
  13. 9
  14. 3
  15. 19895
  16. 8
  17. 9
  18. 18
  19. 16384
  20. 38000
  21. 289
  22. 4
  23. 2166
  24. 324
  25. 1681
  26. 7
  27. 7
  28. 128
  29. 52
  30. 1000
  31. 3
  32. 4891
  33. 7
  34. 8051
  35. 2
  36. 7056
  37. 576
  38. 628
  39. 8836
  40. 5

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