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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 29 · 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.Which of these is a perfect square? (a) 1444 (b) 1516 (c) 1508
  2. 2.Which of these is a perfect cube? (a) 111 (b) 71 (c) 64
  3. 3.Which of these is a perfect cube? (a) 512 (b) 544 (c) 627
  4. 4.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  5. 5.Use (a + b)(a − b) = a² − b² to find 79 × 61.
  6. 6.What is the value of 9⁴? =
  7. 7.How many whole numbers lie between 15² and 16²?
  8. 8.Solve: 4(x − 1) = x + 5. What is x?
  9. 9.Find the value of x² − y² when x = 6 and y = 1.
  10. 10.What is the value of 3⁷? =
  11. 11.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  12. 12.A trapezium has an area of 266 square cm. Its parallel sides are 14 cm and 24 cm. What is the distance between them (in cm)?
  13. 13.A trapezium has an area of 60 square cm. Its parallel sides are 18 cm and 2 cm. What is the distance between them (in cm)?
  14. 14.Use (a − b)² = a² − 2ab + b² to find 44².
  15. 15.What is the value of 10⁵ × 10⁻⁶? =
  16. 16.A square garden has an area of 1681 square m. How long is each side (in m)?
  17. 17.Use (a + b)(a − b) = a² − b² to find 37 × 23.
  18. 18.A town has 6900 people. The population grows by 20% every year. What will the population be after 1 year?
  19. 19.7.2 × 10⁴ =
  20. 20.Write 4³ × 4⁴ as a single power 4ⁿ. What is n?
  21. 21.3.9 × 10³ =
  22. 22.A room is 3 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  24. 24.Which of these is a perfect cube? (a) 1728 (b) 2146 (c) 2093
  25. 25.Which of these is a perfect cube? (a) 446 (b) 343 (c) 361
  26. 26.Use (a + b)² = a² + 2ab + b² to find 95².
  27. 27.What is the value of 6⁵? =
  28. 28.Which of these is a perfect cube? (a) 40 (b) 39 (c) 27
  29. 29.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  30. 30.What is the value of 2² × 2⁻¹? =
  31. 31.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.The sum of two consecutive whole numbers is 121. What is the largest of them?
  34. 34.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  35. 35.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
  36. 36.What is 27²? =
  37. 37.Find the value of x² + 2xy + y² when x = 10 and y = 8.
  38. 38.What is the value of 2⁻¹ (as a fraction)? =
  39. 39.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  40. 40.Solve: n/4 + n/2 = 6. What is n?

Answer key

  1. 1444
  2. 64
  3. 512
  4. 6
  5. 4819
  6. 6561
  7. 30
  8. 3
  9. 35
  10. 2187
  11. 8
  12. 14
  13. 6
  14. 1936
  15. 1/10
  16. 41
  17. 851
  18. 8280
  19. 72000
  20. 7
  21. 3900
  22. 54
  23. 600
  24. 1728
  25. 343
  26. 9025
  27. 7776
  28. 27
  29. 144
  30. 2
  31. 81
  32. 216
  33. 61
  34. 7
  35. 5044
  36. 729
  37. 324
  38. 1/2
  39. 4
  40. 8

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