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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 19 · 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 ∛15625? =
  2. 2.Write (3⁸)⁹ as a single power 3ⁿ. What is n?
  3. 3.What is ∛1331? =
  4. 4.Write 9³ × 9⁹ as a single power 9ⁿ. What is n?
  5. 5.Use (a + b)(a − b) = a² − b² to find 91 × 89.
  6. 6.Write 4.1 × 10⁻¹ as a decimal. =
  7. 7.What is the value of 5³? =
  8. 8.Use (a − b)² = a² − 2ab + b² to find 45².
  9. 9.The sum of three consecutive whole numbers is 135. What is the smallest of them?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 57².
  11. 11.A square garden has an area of 1521 square m. How long is each side (in m)?
  12. 12.The diagonals of a rhombus are 18 cm and 7 cm. What is its area (in square cm)?
  13. 13.A trapezium has parallel sides of 30 cm and 23 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  14. 14.Which of these is a perfect square? (a) 256 (b) 275 (c) 283
  15. 15.What is 73²? =
  16. 16.Use (a + b)(a − b) = a² − b² to find 49 × 31.
  17. 17.Solve: 3(t − 4) = 2t + 9. What is t?
  18. 18.5.5 × 10⁴ =
  19. 19.Which of these is a perfect square? (a) 108 (b) 103 (c) 100
  20. 20.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  21. 21.What is 14³? =
  22. 22.A square garden has an area of 121 square m. How long is each side (in m)?
  23. 23.How many whole numbers lie between 16² and 17²?
  24. 24.What is ∛12167? =
  25. 25.A trapezium has an area of 256 square cm. Its parallel sides are 21 cm and 11 cm. What is the distance between them (in cm)?
  26. 26.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  27. 27.A room is 9 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  28. 28.The diagonals of a rhombus are 10 cm and 30 cm. What is its area (in square cm)?
  29. 29.What is the value of (8/9)⁻¹? =
  30. 30.Write 16,000 in standard form as 1.6 × 10ⁿ. What is n?
  31. 31.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.Find the compound interest on ₹8000 at 5% per year for 3 years, compounded every year (in ₹).
  33. 33.The sum of four consecutive whole numbers is 98. What is the smallest of them?
  34. 34.The diagonals of a rhombus are 28 cm and 30 cm. What is its area (in square cm)?
  35. 35.What is the value of 3⁸? =
  36. 36.Find the compound interest on ₹32000 at 25% per year for 3 years, compounded every year (in ₹).
  37. 37.What is √121? =
  38. 38.Use (a + b)² = a² + 2ab + b² to find 104².
  39. 39.Use (a + b)² = a² + 2ab + b² to find 92².
  40. 40.Solve: 4(t − 2) = 3t + 2. What is t?

Answer key

  1. 25
  2. 72
  3. 11
  4. 12
  5. 8099
  6. 0.41
  7. 125
  8. 2025
  9. 44
  10. 3249
  11. 39
  12. 63
  13. 53
  14. 256
  15. 5329
  16. 1519
  17. 21
  18. 55000
  19. 100
  20. 3
  21. 2744
  22. 11
  23. 32
  24. 23
  25. 16
  26. 100
  27. 130
  28. 150
  29. 9/8
  30. 4
  31. 216
  32. 1261
  33. 23
  34. 420
  35. 6561
  36. 30500
  37. 11
  38. 10816
  39. 8464
  40. 10

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