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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 844 · 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 cuboid is 6 cm long, 4 cm wide and 4 cm high. What is its total surface area (in square cm)?
  2. 2.What is √5625? =
  3. 3.Write (2³)⁹ as a single power 2ⁿ. What is n?
  4. 4.A square garden has an area of 2809 square m. How long is each side (in m)?
  5. 5.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.Which of these is a perfect square? (a) 1140 (b) 1108 (c) 1089
  7. 7.What is ∛216? =
  8. 8.What amount will ₹46000 grow to in 1 year at 5% per year compound interest (in ₹)?
  9. 9.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  10. 10.What is √3721? =
  11. 11.A scooter is worth ₹32400. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  12. 12.What is 2³? =
  13. 13.The diagonals of a rhombus are 14 cm and 20 cm. What is its area (in square cm)?
  14. 14.The sum of four consecutive whole numbers is 26. What is the smallest of them?
  15. 15.Use (a + b)(a − b) = a² − b² to find 109 × 91.
  16. 16.Use (a + b)² = a² + 2ab + b² to find 108².
  17. 17.The diagonals of a rhombus are 10 cm and 7 cm. What is its area (in square cm)?
  18. 18.What is 9³? =
  19. 19.What is ∛4913? =
  20. 20.The diagonals of a rhombus are 18 cm and 4 cm. What is its area (in square cm)?
  21. 21.Write 9⁴ × 9⁷ as a single power 9ⁿ. What is n?
  22. 22.What is the difference between the compound interest and the simple interest on ₹42000 at 25% per year for 2 years (in ₹)?
  23. 23.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.Write 5.8 × 10⁻⁴ as a decimal. =
  25. 25.Solve: 3(m − 1) = m + 5. What is m?
  26. 26.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  27. 27.Write 8.2 × 10⁻³ as a decimal. =
  28. 28.Find the compound interest on ₹18000 at 10% per year for 3 years, compounded every year (in ₹).
  29. 29.Find the compound interest on ₹3000 at 20% per year for 3 years, compounded every year (in ₹).
  30. 30.A town has 15600 people. The population grows by 25% every year. What will the population be after 2 years?
  31. 31.What is the smallest whole number by which 8 must be divided to get a perfect square?
  32. 32.Which of these is a perfect square? (a) 543 (b) 558 (c) 529
  33. 33.Write 3.7 × 10⁻⁴ as a decimal. =
  34. 34.Solve: 6(t − 3) = 4t + 22. What is t?
  35. 35.Write 2⁴ × 2⁴ as a single power 2ⁿ. What is n?
  36. 36.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛5832? =
  38. 38.Solve: 4(p − 2) = 2p + 6. What is p?
  39. 39.The length of a rectangle is 11 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  40. 40.Which of these is a perfect square? (a) 203 (b) 196 (c) 220

Answer key

  1. 128
  2. 75
  3. 27
  4. 53
  5. 125
  6. 1089
  7. 6
  8. 48300
  9. 25
  10. 61
  11. 29241
  12. 8
  13. 140
  14. 5
  15. 9919
  16. 11664
  17. 35
  18. 729
  19. 17
  20. 36
  21. 11
  22. 2625
  23. 216
  24. 0.00058
  25. 4
  26. 6
  27. 0.0082
  28. 5958
  29. 2184
  30. 24375
  31. 2
  32. 529
  33. 0.00037
  34. 20
  35. 8
  36. 5
  37. 18
  38. 7
  39. 27
  40. 196

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