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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 48 · 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 value of (7/9)⁻²? =
  2. 2.The length of a rectangle is 14 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  3. 3.Which of these is a perfect square? (a) 256 (b) 284 (c) 272
  4. 4.What is the smallest whole number by which 180 must be multiplied to get a perfect square?
  5. 5.What is √4900? =
  6. 6.Solve: 4(y − 1) = 2y + 14. What is y?
  7. 7.What is the value of 9⁻¹ (as a fraction)? =
  8. 8.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  9. 9.The sum of four consecutive whole numbers is 202. What is the smallest of them?
  10. 10.What is 83²? =
  11. 11.Solve: 9x + 9 = 3x + 27. What is x?
  12. 12.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  13. 13.The diagonals of a rhombus are 20 cm and 7 cm. What is its area (in square cm)?
  14. 14.A cuboid is 10 cm long, 11 cm wide and 5 cm high. What is its total surface area (in square cm)?
  15. 15.Which of these is a perfect cube? (a) 27 (b) 30 (c) 40
  16. 16.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  17. 17.How many whole numbers lie between 20² and 21²?
  18. 18.A father is 28 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  19. 19.What is the value of 3⁴ × 3⁻⁴? =
  20. 20.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  21. 21.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  22. 22.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  23. 23.Solve: 4(x − 2) = 2x + 6. What is x?
  24. 24.What is the value of 8⁴? =
  25. 25.4.3 × 10² =
  26. 26.A cuboid is 15 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  27. 27.What is the value of 2¹ × 2⁻²? =
  28. 28.What is the difference between the compound interest and the simple interest on ₹26000 at 5% per year for 2 years (in ₹)?
  29. 29.Use (a + b)(a − b) = a² − b² to find 63 × 57.
  30. 30.A trapezium has parallel sides of 23 cm and 10 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  31. 31.A room is 3 m long, 6 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.A square garden has an area of 625 square m. How long is each side (in m)?
  33. 33.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  34. 34.What is the value of 5⁻² (as a fraction)? =
  35. 35.Find the value of x² − y² when x = 12 and y = 10.
  36. 36.What is the difference between the compound interest and the simple interest on ₹31200 at 5% per year for 2 years (in ₹)?
  37. 37.A square garden has an area of 1444 square m. How long is each side (in m)?
  38. 38.Use (a − b)² = a² − 2ab + b² to find 74².
  39. 39.Write 5 × 10⁻³ as a decimal. =
  40. 40.Solve: 3t + 5 = t + 15. What is t?

Answer key

  1. 81/49
  2. 18
  3. 256
  4. 5
  5. 70
  6. 9
  7. 1/9
  8. 7
  9. 49
  10. 6889
  11. 3
  12. 3
  13. 70
  14. 430
  15. 27
  16. 9
  17. 40
  18. 8
  19. 1
  20. 7
  21. 294
  22. 16
  23. 7
  24. 4096
  25. 430
  26. 500
  27. 1/2
  28. 65
  29. 3591
  30. 198
  31. 54
  32. 25
  33. 4
  34. 1/25
  35. 44
  36. 78
  37. 38
  38. 5476
  39. 0.005
  40. 5

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