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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 859 · 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.Find the compound interest on ₹57700 at 4% per year for 1 year, compounded every year (in ₹).
  2. 2.The diagonals of a rhombus are 10 cm and 15 cm. What is its area (in square cm)?
  3. 3.Use (a + b)(a − b) = a² − b² to find 27 × 13.
  4. 4.What amount will ₹50000 grow to in 2 years at 12% per year compound interest (in ₹)?
  5. 5.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  6. 6.A father is 8 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  7. 7.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  8. 8.Write 5¹⁶ ÷ 5⁷ as a single power 5ⁿ. What is n?
  9. 9.Solve: 6m + 11 = 2m + 43. What is m?
  10. 10.The diagonals of a rhombus are 8 cm and 23 cm. What is its area (in square cm)?
  11. 11.Use a² − b² = (a + b)(a − b) to find 44² − 5².
  12. 12.A cuboid is 4 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  13. 13.What is 17³? =
  14. 14.What amount will ₹33200 grow to in 2 years at 25% per year compound interest (in ₹)?
  15. 15.What is the value of 10⁻¹ (as a fraction)? =
  16. 16.What is the value of 9³? =
  17. 17.Solve: p/5 + p/4 = 9. What is p?
  18. 18.What is the value of (4/9)⁻¹? =
  19. 19.What is the difference between the compound interest and the simple interest on ₹2000 at 15% per year for 2 years (in ₹)?
  20. 20.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  21. 21.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.Write 19,00,000 in standard form as 1.9 × 10ⁿ. What is n?
  23. 23.If a + b = 11 and ab = 28, what is a² + b²?
  24. 24.Solve: p/5 + p/3 = 8. What is p?
  25. 25.What is the value of 7³? =
  26. 26.A square garden has an area of 256 square m. How long is each side (in m)?
  27. 27.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
  28. 28.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  29. 29.Which of these is a perfect square? (a) 630 (b) 643 (c) 625
  30. 30.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  31. 31.A father is 12 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  32. 32.What is the difference between the compound interest and the simple interest on ₹5000 at 4% per year for 2 years (in ₹)?
  33. 33.What is √6561? =
  34. 34.Write 1.9 × 10⁻² as a decimal. =
  35. 35.What is the value of 5²? =
  36. 36.What is the smallest whole number by which 640 must be multiplied to get a perfect square?
  37. 37.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  38. 38.Solve: 5x + 14 = x + 54. What is x?
  39. 39.What is 75²? =
  40. 40.What is the value of (2/7)⁻¹? =

Answer key

  1. 2308
  2. 75
  3. 351
  4. 62720
  5. 1734
  6. 6
  7. 12
  8. 9
  9. 8
  10. 92
  11. 1911
  12. 112
  13. 4913
  14. 51875
  15. 1/10
  16. 729
  17. 20
  18. 9/4
  19. 45
  20. 25
  21. 125
  22. 6
  23. 65
  24. 15
  25. 343
  26. 16
  27. 2
  28. 13
  29. 625
  30. 2400
  31. 5
  32. 8
  33. 81
  34. 0.019
  35. 25
  36. 10
  37. 11
  38. 10
  39. 5625
  40. 7/2

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