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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 980 · 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.

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  1. 1.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  2. 2.What amount will ₹11200 grow to in 3 years at 25% per year compound interest (in ₹)?
  3. 3.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  4. 4.What is the difference between the compound interest and the simple interest on ₹18300 at 10% per year for 2 years (in ₹)?
  5. 5.The diagonals of a rhombus are 18 cm and 19 cm. What is its area (in square cm)?
  6. 6.Find the compound interest on ₹37100 at 15% per year for 1 year, compounded every year (in ₹).
  7. 7.A father is 24 years older than his son. In 4 years, the father will be four times as old as his son. How old is the son now?
  8. 8.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.A trapezium has an area of 323 square cm. Its parallel sides are 6 cm and 28 cm. What is the distance between them (in cm)?
  10. 10.A trapezium has parallel sides of 30 cm and 14 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  11. 11.Solve: 8t + 5 = 2t + 89. What is t?
  12. 12.Which of these is a perfect square? (a) 583 (b) 576 (c) 597
  13. 13.The length of a rectangle is 2 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  14. 14.What is ∛125? =
  15. 15.What amount will ₹10600 grow to in 1 year at 5% per year compound interest (in ₹)?
  16. 16.What is ∛10648? =
  17. 17.How many whole numbers lie between 13² and 14²?
  18. 18.A trapezium has parallel sides of 5 cm and 10 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  19. 19.What is √3364? =
  20. 20.The sum of two consecutive whole numbers is 55. What is the smallest of them?
  21. 21.What is the value of (1/5)⁻¹? =
  22. 22.What is the smallest whole number by which 243 must be divided to get a perfect square?
  23. 23.Write 9.2 × 10⁻⁴ as a decimal. =
  24. 24.Write 6⁴ × 6² as a single power 6ⁿ. What is n?
  25. 25.A trapezium has an area of 36 square cm. Its parallel sides are 7 cm and 29 cm. What is the distance between them (in cm)?
  26. 26.Which of these is a perfect square? (a) 625 (b) 649 (c) 672
  27. 27.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  28. 28.A town has 10000 people. The population grows by 10% every year. What will the population be after 3 years?
  29. 29.The sum of two consecutive whole numbers is 13. What is the smallest of them?
  30. 30.What is the smallest whole number by which 96 must be divided to get a perfect square?
  31. 31.A room is 5 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  32. 32.Use (a + b)² = a² + 2ab + b² to find 58².
  33. 33.Use a² − b² = (a + b)(a − b) to find 39² − 21².
  34. 34.A trapezium has an area of 168 square cm. Its parallel sides are 28 cm and 20 cm. What is the distance between them (in cm)?
  35. 35.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  36. 36.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
  37. 37.What is the value of 6²? =
  38. 38.What is the value of 3⁵ × 3⁻³? =
  39. 39.What is √6400? =
  40. 40.What is the difference between the compound interest and the simple interest on ₹35000 at 4% per year for 2 years (in ₹)?

Answer key

  1. 8
  2. 21875
  3. 15
  4. 183
  5. 171
  6. 5565
  7. 4
  8. 216
  9. 19
  10. 264
  11. 14
  12. 576
  13. 12
  14. 5
  15. 11130
  16. 22
  17. 26
  18. 150
  19. 58
  20. 27
  21. 5
  22. 3
  23. 0.00092
  24. 6
  25. 2
  26. 625
  27. 49
  28. 13310
  29. 6
  30. 6
  31. 88
  32. 3364
  33. 1080
  34. 7
  35. 3
  36. 400
  37. 36
  38. 9
  39. 80
  40. 56

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