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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 736 · 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.Write 7.7 × 10⁻¹ as a decimal. =
  2. 2.Use a² − b² = (a + b)(a − b) to find 31² − 12².
  3. 3.Find the compound interest on ₹50200 at 10% per year for 2 years, compounded every year (in ₹).
  4. 4.Write 1,90,000 in standard form as 1.9 × 10ⁿ. What is n?
  5. 5.What amount will ₹34500 grow to in 3 years at 20% per year compound interest (in ₹)?
  6. 6.What is the smallest whole number by which 126 must be multiplied to get a perfect square?
  7. 7.What is the difference between the compound interest and the simple interest on ₹25200 at 10% per year for 2 years (in ₹)?
  8. 8.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  9. 9.What is 79²? =
  10. 10.What is the value of (5/8)⁻¹? =
  11. 11.A scooter is worth ₹57500. Its value falls by 4% every year. What will it be worth after 2 years (in ₹)?
  12. 12.The diagonals of a rhombus are 16 cm and 24 cm. What is its area (in square cm)?
  13. 13.5 × 10³ =
  14. 14.What is 15³? =
  15. 15.The sum of two consecutive whole numbers is 17. What is the smallest of them?
  16. 16.A trapezium has parallel sides of 27 cm and 8 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  17. 17.A town has 12200 people. The population grows by 20% every year. What will the population be after 1 year?
  18. 18.Use (a + b)(a − b) = a² − b² to find 51 × 49.
  19. 19.Find the value of x² + 2xy + y² when x = 3 and y = 1.
  20. 20.What is √7056? =
  21. 21.What is the value of 2¹²? =
  22. 22.Find the value of x² + 2xy + y² when x = 9 and y = 3.
  23. 23.Solve: 7n + 16 = n + 100. What is n?
  24. 24.The diagonals of a rhombus are 4 cm and 17 cm. What is its area (in square cm)?
  25. 25.Write 7.9 × 10⁻¹ as a decimal. =
  26. 26.A cuboid is 5 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  27. 27.What amount will ₹2500 grow to in 3 years at 20% per year compound interest (in ₹)?
  28. 28.Use (a + b)(a − b) = a² − b² to find 81 × 79.
  29. 29.Use (a + b)² = a² + 2ab + b² to find 108².
  30. 30.What is the difference between the compound interest and the simple interest on ₹37500 at 4% per year for 2 years (in ₹)?
  31. 31.Solve: x/2 + x/4 = 15. What is x?
  32. 32.Write (6⁶)⁴ as a single power 6ⁿ. What is n?
  33. 33.Solve: 3t + 17 = t + 35. What is t?
  34. 34.Solve: 3(n − 4) = 2n + 10. What is n?
  35. 35.How many whole numbers lie between 7² and 8²?
  36. 36.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  38. 38.Which of these is a perfect square? (a) 256 (b) 261 (c) 272
  39. 39.Use (a + b)(a − b) = a² − b² to find 28 × 12.
  40. 40.Use (a − b)² = a² − 2ab + b² to find 79².

Answer key

  1. 0.77
  2. 817
  3. 10542
  4. 5
  5. 59616
  6. 14
  7. 252
  8. 6
  9. 6241
  10. 8/5
  11. 52992
  12. 192
  13. 5000
  14. 3375
  15. 8
  16. 35
  17. 14640
  18. 2499
  19. 16
  20. 84
  21. 4096
  22. 144
  23. 14
  24. 34
  25. 0.79
  26. 104
  27. 4320
  28. 6399
  29. 11664
  30. 60
  31. 20
  32. 24
  33. 9
  34. 22
  35. 14
  36. 15
  37. 49
  38. 256
  39. 336
  40. 6241

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