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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 745 · 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 77²? =
  2. 2.Find the compound interest on ₹43200 at 25% per year for 3 years, compounded every year (in ₹).
  3. 3.The length of a rectangle is 9 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  4. 4.A trapezium has parallel sides of 25 cm and 15 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  5. 5.Find the compound interest on ₹16400 at 12% per year for 1 year, compounded every year (in ₹).
  6. 6.A town has 10900 people. The population grows by 20% every year. What will the population be after 1 year?
  7. 7.The length of a rectangle is 15 cm more than its width. Its perimeter is 118 cm. What is its width (in cm)?
  8. 8.Use a² − b² = (a + b)(a − b) to find 28² − 27².
  9. 9.A cuboid is 6 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  10. 10.A room is 4 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  11. 11.8.5 × 10⁵ =
  12. 12.Solve: 5n + 13 = 4n + 14. What is n?
  13. 13.Use (a + b)² = a² + 2ab + b² to find 51².
  14. 14.The sum of four consecutive whole numbers is 82. What is the smallest of them?
  15. 15.Use (a − b)² = a² − 2ab + b² to find 76².
  16. 16.A trapezium has an area of 168 square cm. Its parallel sides are 5 cm and 19 cm. What is the distance between them (in cm)?
  17. 17.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  18. 18.What is 38²? =
  19. 19.Use (a + b)(a − b) = a² − b² to find 99 × 81.
  20. 20.What is the value of 2¹¹? =
  21. 21.What is the value of (1/8)⁻²? =
  22. 22.What is the value of 3⁵ × 3⁻³? =
  23. 23.Which of these is a perfect square? (a) 253 (b) 225 (c) 237
  24. 24.Solve: 6t + 6 = t + 81. What is t?
  25. 25.What is √1521? =
  26. 26.What is √1156? =
  27. 27.The diagonals of a rhombus are 4 cm and 16 cm. What is its area (in square cm)?
  28. 28.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  29. 29.A trapezium has an area of 70 square cm. Its parallel sides are 7 cm and 28 cm. What is the distance between them (in cm)?
  30. 30.Write 560 in standard form as 5.6 × 10ⁿ. What is n?
  31. 31.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  32. 32.The sum of two consecutive whole numbers is 89. What is the smallest of them?
  33. 33.What is ∛6859? =
  34. 34.The sum of four consecutive whole numbers is 110. What is the largest of them?
  35. 35.What is the smallest whole number by which 252 must be multiplied to get a perfect square?
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.Use (a − b)² = a² − 2ab + b² to find 36².
  38. 38.What is the difference between the compound interest and the simple interest on ₹27500 at 8% per year for 2 years (in ₹)?
  39. 39.Use (a + b)² = a² + 2ab + b² to find 41².
  40. 40.What is the value of 3⁻⁶ (as a fraction)? =

Answer key

  1. 5929
  2. 41175
  3. 11
  4. 240
  5. 1968
  6. 13080
  7. 22
  8. 55
  9. 188
  10. 80
  11. 850000
  12. 1
  13. 2601
  14. 19
  15. 5776
  16. 14
  17. 726
  18. 1444
  19. 8019
  20. 2048
  21. 64
  22. 9
  23. 225
  24. 15
  25. 39
  26. 34
  27. 32
  28. 11
  29. 4
  30. 2
  31. 441
  32. 44
  33. 19
  34. 29
  35. 7
  36. 6
  37. 1296
  38. 176
  39. 1681
  40. 1/729

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