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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 678 · 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 ₹33600 at 10% per year for 2 years (in ₹)?
  2. 2.5.4 × 10² =
  3. 3.What is ∛8? =
  4. 4.What is 67²? =
  5. 5.What amount will ₹18000 grow to in 3 years at 10% per year compound interest (in ₹)?
  6. 6.Solve: 5(y − 4) = 4y + 10. What is y?
  7. 7.What is the smallest whole number by which 60 must be multiplied to get a perfect square?
  8. 8.What is the difference between the compound interest and the simple interest on ₹2400 at 25% per year for 2 years (in ₹)?
  9. 9.Find the value of x² + 2xy + y² when x = 11 and y = 2.
  10. 10.Use (a + b)(a − b) = a² − b² to find 62 × 58.
  11. 11.Which of these is a perfect square? (a) 196 (b) 200 (c) 214
  12. 12.What is √7569? =
  13. 13.A cuboid is 9 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  14. 14.Solve: 4x + 18 = 2x + 28. What is x?
  15. 15.What is the value of 10⁻² (as a fraction)? =
  16. 16.Write (5⁴)² as a single power 5ⁿ. What is n?
  17. 17.What amount will ₹42500 grow to in 2 years at 12% per year compound interest (in ₹)?
  18. 18.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  19. 19.The diagonals of a rhombus are 22 cm and 26 cm. What is its area (in square cm)?
  20. 20.What is 42²? =
  21. 21.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  22. 22.Write 3⁶ × 3⁶ as a single power 3ⁿ. What is n?
  23. 23.What amount will ₹56000 grow to in 3 years at 15% per year compound interest (in ₹)?
  24. 24.Solve: 8x + 20 = 5x + 26. What is x?
  25. 25.A cuboid is 9 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  26. 26.Solve: 3(y − 1) = 2y + 2. What is y?
  27. 27.How many whole numbers lie between 20² and 21²?
  28. 28.If a − b = 2 and ab = 15, what is a² + b²?
  29. 29.What is the smallest whole number by which 20 must be multiplied to get a perfect square?
  30. 30.Solve: 9y + 20 = 3y + 32. What is y?
  31. 31.What is the difference between the compound interest and the simple interest on ₹52800 at 25% per year for 2 years (in ₹)?
  32. 32.Solve: 5p + 15 = 3p + 19. What is p?
  33. 33.Solve: p/5 + p/3 = 8. What is p?
  34. 34.Write 9⁴ ÷ 9² as a single power 9ⁿ. What is n?
  35. 35.8.7 × 10⁵ =
  36. 36.The diagonals of a rhombus are 10 cm and 9 cm. What is its area (in square cm)?
  37. 37.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  38. 38.The diagonals of a rhombus are 24 cm and 11 cm. What is its area (in square cm)?
  39. 39.What is ∛3375? =
  40. 40.What is the difference between the compound interest and the simple interest on ₹10000 at 8% per year for 2 years (in ₹)?

Answer key

  1. 336
  2. 540
  3. 2
  4. 4489
  5. 23958
  6. 30
  7. 15
  8. 150
  9. 169
  10. 3596
  11. 196
  12. 87
  13. 450
  14. 5
  15. 1/100
  16. 8
  17. 53312
  18. 144
  19. 286
  20. 1764
  21. 3
  22. 12
  23. 85169
  24. 2
  25. 176
  26. 5
  27. 40
  28. 34
  29. 5
  30. 2
  31. 3300
  32. 2
  33. 15
  34. 2
  35. 870000
  36. 45
  37. 10
  38. 132
  39. 15
  40. 64

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