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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 560 · 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 the difference between the compound interest and the simple interest on ₹4000 at 25% per year for 2 years (in ₹)?
  2. 2.Use a² − b² = (a + b)(a − b) to find 74² − 30².
  3. 3.What is 4³? =
  4. 4.What is the value of 2⁵ × 2⁻⁶? =
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.What is the difference between the compound interest and the simple interest on ₹28400 at 15% per year for 2 years (in ₹)?
  7. 7.Use a² − b² = (a + b)(a − b) to find 23² − 6².
  8. 8.How many whole numbers lie between 8² and 9²?
  9. 9.What is √3136? =
  10. 10.A trapezium has parallel sides of 12 cm and 9 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  11. 11.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  12. 12.Solve: 3p + 20 = 2p + 33. What is p?
  13. 13.Solve: 9p + 2 = 8p + 9. What is p?
  14. 14.Write 5¹⁷ ÷ 5⁹ as a single power 5ⁿ. What is n?
  15. 15.What is the smallest whole number by which 384 must be multiplied to get a perfect square?
  16. 16.How many whole numbers lie between 9² and 10²?
  17. 17.What is the difference between the compound interest and the simple interest on ₹15000 at 12% per year for 2 years (in ₹)?
  18. 18.What is the smallest whole number by which 28 must be divided to get a perfect square?
  19. 19.What is the value of 9²? =
  20. 20.Write 8.4 × 10⁻³ as a decimal. =
  21. 21.Use (a + b)² = a² + 2ab + b² to find 34².
  22. 22.What is the value of 2¹⁵? =
  23. 23.Which of these is a perfect cube? (a) 847 (b) 729 (c) 965
  24. 24.Use (a − b)² = a² − 2ab + b² to find 53².
  25. 25.What is 19³? =
  26. 26.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  27. 27.What is the value of 5² × 5⁻³? =
  28. 28.How many whole numbers lie between 11² and 12²?
  29. 29.What amount will ₹52400 grow to in 2 years at 5% per year compound interest (in ₹)?
  30. 30.Solve: 3(x − 2) = 2x + 9. What is x?
  31. 31.What is the difference between the compound interest and the simple interest on ₹8400 at 25% per year for 2 years (in ₹)?
  32. 32.Which of these is a perfect cube? (a) 125 (b) 164 (c) 156
  33. 33.A father is 20 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  34. 34.Write 3⁹ ÷ 3⁵ as a single power 3ⁿ. What is n?
  35. 35.Write 6¹³ ÷ 6⁹ as a single power 6ⁿ. What is n?
  36. 36.Write (4²)⁴ as a single power 4ⁿ. What is n?
  37. 37.The diagonals of a rhombus are 22 cm and 17 cm. What is its area (in square cm)?
  38. 38.Which of these is a perfect square? (a) 978 (b) 961 (c) 999
  39. 39.What is ∛729? =
  40. 40.Solve: 3y + 3 = y + 33. What is y?

Answer key

  1. 250
  2. 4576
  3. 64
  4. 1/2
  5. 8
  6. 639
  7. 493
  8. 16
  9. 56
  10. 84
  11. 14
  12. 13
  13. 7
  14. 8
  15. 6
  16. 18
  17. 216
  18. 7
  19. 81
  20. 0.0084
  21. 1156
  22. 32768
  23. 729
  24. 2809
  25. 6859
  26. 96
  27. 1/5
  28. 22
  29. 57771
  30. 15
  31. 525
  32. 125
  33. 2
  34. 4
  35. 4
  36. 8
  37. 187
  38. 961
  39. 9
  40. 15

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