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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 517 · 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 ∛10648? =
  2. 2.Which of these is a perfect cube? (a) 1694 (b) 1419 (c) 1331
  3. 3.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  4. 4.Write 8,50,000 in standard form as 8.5 × 10ⁿ. What is n?
  5. 5.What is √529? =
  6. 6.A square garden has an area of 2916 square m. How long is each side (in m)?
  7. 7.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  8. 8.A cuboid is 5 cm long, 6 cm wide and 2 cm high. What is its total surface area (in square cm)?
  9. 9.What is 28²? =
  10. 10.The length of a rectangle is 10 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  11. 11.What is 17²? =
  12. 12.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.If a + b = 13 and ab = 36, what is a² + b²?
  14. 14.6.7 × 10² =
  15. 15.Use (a − b)² = a² − 2ab + b² to find 51².
  16. 16.The sum of three consecutive whole numbers is 27. What is the smallest of them?
  17. 17.Solve: 9m + 15 = m + 23. What is m?
  18. 18.A square garden has an area of 100 square m. How long is each side (in m)?
  19. 19.5.8 × 10⁴ =
  20. 20.Solve: n/6 + n/2 = 8. What is n?
  21. 21.Use (a + b)² = a² + 2ab + b² to find 108².
  22. 22.What is the value of 10⁻¹ (as a fraction)? =
  23. 23.Solve: 9p + 15 = 3p + 63. What is p?
  24. 24.What is 19³? =
  25. 25.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  26. 26.What is ∛15625? =
  27. 27.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  28. 28.Solve: 4p + 8 = 2p + 30. What is p?
  29. 29.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  30. 30.Find the value of x² − 2xy + y² when x = 7 and y = 4.
  31. 31.Use a² − b² = (a + b)(a − b) to find 99² − 3².
  32. 32.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  33. 33.Write 4.7 × 10⁻³ as a decimal. =
  34. 34.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  35. 35.The diagonals of a rhombus are 24 cm and 5 cm. What is its area (in square cm)?
  36. 36.Write (5⁶)⁴ as a single power 5ⁿ. What is n?
  37. 37.A trapezium has parallel sides of 5 cm and 27 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  38. 38.What amount will ₹8800 grow to in 1 year at 4% per year compound interest (in ₹)?
  39. 39.Write 4.5 × 10⁻⁴ as a decimal. =
  40. 40.A square garden has an area of 900 square m. How long is each side (in m)?

Answer key

  1. 22
  2. 1331
  3. 15
  4. 5
  5. 23
  6. 54
  7. 441
  8. 104
  9. 784
  10. 22
  11. 289
  12. 8
  13. 97
  14. 670
  15. 2601
  16. 8
  17. 1
  18. 10
  19. 58000
  20. 12
  21. 11664
  22. 1/10
  23. 8
  24. 6859
  25. 25
  26. 25
  27. 2
  28. 11
  29. 7
  30. 9
  31. 9792
  32. 3
  33. 0.0047
  34. 2
  35. 60
  36. 24
  37. 160
  38. 9152
  39. 0.00045
  40. 30

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