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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 863 · 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 cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  2. 2.The sum of three consecutive whole numbers is 75. What is the smallest of them?
  3. 3.What is the smallest whole number by which 384 must be multiplied to get a perfect square?
  4. 4.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  5. 5.Use (a + b)² = a² + 2ab + b² to find 12².
  6. 6.What is √900? =
  7. 7.Write 9⁸ ÷ 9⁵ as a single power 9ⁿ. What is n?
  8. 8.Use (a + b)² = a² + 2ab + b² to find 35².
  9. 9.Solve: n/5 + n/2 = 28. What is n?
  10. 10.What is the value of (1/3)⁻¹? =
  11. 11.Which of these is a perfect square? (a) 326 (b) 324 (c) 333
  12. 12.A trapezium has an area of 140 square cm. Its parallel sides are 15 cm and 5 cm. What is the distance between them (in cm)?
  13. 13.A trapezium has an area of 75 square cm. Its parallel sides are 12 cm and 3 cm. What is the distance between them (in cm)?
  14. 14.What is 27²? =
  15. 15.Use (a + b)(a − b) = a² − b² to find 61 × 59.
  16. 16.If a + b = 11 and ab = 18, what is a² + b²?
  17. 17.A cuboid is 11 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  18. 18.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.What is 15³? =
  20. 20.Find the compound interest on ₹10500 at 10% per year for 2 years, compounded every year (in ₹).
  21. 21.What is ∛8? =
  22. 22.What is ∛15625? =
  23. 23.A father is 30 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  24. 24.What is the smallest whole number by which 40 must be divided to get a perfect square?
  25. 25.Solve: 6(p − 2) = 5p + 9. What is p?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 43².
  27. 27.A scooter is worth ₹32000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  28. 28.Use (a + b)(a − b) = a² − b² to find 29 × 11.
  29. 29.Write 2,800 in standard form as 2.8 × 10ⁿ. What is n?
  30. 30.The sum of four consecutive whole numbers is 162. What is the largest of them?
  31. 31.Use (a − b)² = a² − 2ab + b² to find 23².
  32. 32.What is the value of 3⁶ × 3⁻¹? =
  33. 33.Use (a − b)² = a² − 2ab + b² to find 61².
  34. 34.What is 97²? =
  35. 35.What is the smallest whole number by which 63 must be divided to get a perfect square?
  36. 36.A cuboid is 13 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  37. 37.What is the value of 5² × 5⁻²? =
  38. 38.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  39. 39.What is ∛729? =
  40. 40.Write (5²)⁵ as a single power 5ⁿ. What is n?

Answer key

  1. 3
  2. 24
  3. 6
  4. 10
  5. 144
  6. 30
  7. 3
  8. 1225
  9. 40
  10. 3
  11. 324
  12. 14
  13. 10
  14. 729
  15. 3599
  16. 85
  17. 478
  18. 27
  19. 3375
  20. 2205
  21. 2
  22. 25
  23. 12
  24. 10
  25. 21
  26. 1849
  27. 27436
  28. 319
  29. 3
  30. 42
  31. 529
  32. 243
  33. 3721
  34. 9409
  35. 7
  36. 238
  37. 1
  38. 144
  39. 9
  40. 10

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