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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 837 · 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.A father is 16 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  2. 2.What is 68²? =
  3. 3.A cuboid is 8 cm long, 12 cm wide and 7 cm high. What is its total surface area (in square cm)?
  4. 4.A cuboid is 12 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  5. 5.Find the compound interest on ₹58100 at 12% per year for 1 year, compounded every year (in ₹).
  6. 6.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  7. 7.What is the smallest whole number by which 896 must be multiplied to get a perfect square?
  8. 8.A trapezium has an area of 130 square cm. Its parallel sides are 19 cm and 7 cm. What is the distance between them (in cm)?
  9. 9.A square garden has an area of 144 square m. How long is each side (in m)?
  10. 10.What is the value of (3/5)⁻²? =
  11. 11.A trapezium has an area of 136 square cm. Its parallel sides are 20 cm and 14 cm. What is the distance between them (in cm)?
  12. 12.Find the value of x² + 2xy + y² when x = 6 and y = 1.
  13. 13.What is the value of 5² × 5⁻⁴? =
  14. 14.Solve: y/6 + y/2 = 32. What is y?
  15. 15.Write 3¹⁰ ÷ 3⁸ as a single power 3ⁿ. What is n?
  16. 16.The length of a rectangle is 8 cm more than its width. Its perimeter is 52 cm. What is its width (in cm)?
  17. 17.Which of these is a perfect cube? (a) 343 (b) 414 (c) 360
  18. 18.What is the value of (8/9)⁻¹? =
  19. 19.Solve: 6t + 6 = t + 21. What is t?
  20. 20.Find the compound interest on ₹5400 at 20% per year for 2 years, compounded every year (in ₹).
  21. 21.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  22. 22.What is the smallest whole number by which 44 must be divided to get a perfect square?
  23. 23.Solve: x/3 + x/5 = 40. What is x?
  24. 24.What amount will ₹24900 grow to in 2 years at 10% per year compound interest (in ₹)?
  25. 25.Write 8 × 10⁻³ as a decimal. =
  26. 26.What is the value of 4⁷? =
  27. 27.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
  28. 28.What is the value of 2⁸? =
  29. 29.What amount will ₹26600 grow to in 2 years at 20% per year compound interest (in ₹)?
  30. 30.Solve: 3(x − 3) = x + 17. What is x?
  31. 31.What is ∛729? =
  32. 32.What is ∛2197? =
  33. 33.Write 5 × 10⁻¹ as a decimal. =
  34. 34.Write 3,900 in standard form as 3.9 × 10ⁿ. What is n?
  35. 35.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.What is √1764? =
  37. 37.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  38. 38.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  39. 39.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  40. 40.Write 8⁷ ÷ 8² as a single power 8ⁿ. What is n?

Answer key

  1. 4
  2. 4624
  3. 472
  4. 132
  5. 6972
  6. 54
  7. 14
  8. 10
  9. 12
  10. 25/9
  11. 8
  12. 49
  13. 1/25
  14. 48
  15. 2
  16. 9
  17. 343
  18. 9/8
  19. 3
  20. 2376
  21. 169
  22. 11
  23. 75
  24. 30129
  25. 0.008
  26. 16384
  27. 576
  28. 256
  29. 38304
  30. 13
  31. 9
  32. 13
  33. 0.5
  34. 3
  35. 27
  36. 42
  37. 2646
  38. 2
  39. 486
  40. 5

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