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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 752 · 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.The length of a rectangle is 4 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  2. 2.What is ∛4913? =
  3. 3.A father is 17 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  4. 4.A trapezium has parallel sides of 20 cm and 8 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  5. 5.Write 3⁸ × 3² as a single power 3ⁿ. What is n?
  6. 6.Write (3³)⁷ as a single power 3ⁿ. What is n?
  7. 7.The diagonals of a rhombus are 18 cm and 21 cm. What is its area (in square cm)?
  8. 8.What amount will ₹7000 grow to in 1 year at 8% per year compound interest (in ₹)?
  9. 9.7.1 × 10⁴ =
  10. 10.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  11. 11.What is √4761? =
  12. 12.What is √3600? =
  13. 13.Use (a − b)² = a² − 2ab + b² to find 17².
  14. 14.What is the value of 2³ × 2⁻⁵? =
  15. 15.What is the value of 9⁻³ (as a fraction)? =
  16. 16.A cuboid is 7 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  17. 17.What is the smallest whole number by which 208 must be divided to get a perfect square?
  18. 18.Solve: 6t + 16 = t + 76. What is t?
  19. 19.What is the difference between the compound interest and the simple interest on ₹15200 at 5% per year for 2 years (in ₹)?
  20. 20.What is 19³? =
  21. 21.A town has 57500 people. The population grows by 12% every year. What will the population be after 2 years?
  22. 22.If a − b = 1 and ab = 42, what is a² + b²?
  23. 23.A cuboid is 15 cm long, 12 cm wide and 9 cm high. What is its total surface area (in square cm)?
  24. 24.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  25. 25.How many whole numbers lie between 46² and 47²?
  26. 26.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 735 must be divided to get a perfect square?
  28. 28.2.9 × 10² =
  29. 29.A trapezium has parallel sides of 6 cm and 10 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  30. 30.The length of a rectangle is 6 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  31. 31.Solve: 3(m − 1) = 2m + 3. What is m?
  32. 32.What is √900? =
  33. 33.Which of these is a perfect cube? (a) 357 (b) 427 (c) 343
  34. 34.What is √4624? =
  35. 35.Find the compound interest on ₹34900 at 10% per year for 2 years, compounded every year (in ₹).
  36. 36.Find the compound interest on ₹15000 at 12% per year for 2 years, compounded every year (in ₹).
  37. 37.What is the value of 5¹ × 5⁻⁵? =
  38. 38.A trapezium has parallel sides of 29 cm and 20 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  39. 39.If a + b = 6 and ab = 5, what is a² + b²?
  40. 40.Find the compound interest on ₹32000 at 15% per year for 3 years, compounded every year (in ₹).

Answer key

  1. 10
  2. 17
  3. 10
  4. 168
  5. 10
  6. 21
  7. 189
  8. 7560
  9. 71000
  10. 11
  11. 69
  12. 60
  13. 289
  14. 1/4
  15. 1/729
  16. 172
  17. 13
  18. 12
  19. 38
  20. 6859
  21. 72128
  22. 85
  23. 846
  24. 25
  25. 92
  26. 7
  27. 15
  28. 290
  29. 96
  30. 14
  31. 6
  32. 30
  33. 343
  34. 68
  35. 7329
  36. 3816
  37. 1/625
  38. 441
  39. 26
  40. 16668

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