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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 60 · 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 square garden has an area of 841 square m. How long is each side (in m)?
  2. 2.What is the smallest whole number by which 60 must be divided to get a perfect square?
  3. 3.What is the value of 7⁻¹ (as a fraction)? =
  4. 4.Solve: 3(y − 5) = 2y + 4. What is y?
  5. 5.Use (a − b)² = a² − 2ab + b² to find 55².
  6. 6.Write 3⁵ × 3⁵ as a single power 3ⁿ. What is n?
  7. 7.A cuboid is 9 cm long, 5 cm wide and 5 cm high. What is its total surface area (in square cm)?
  8. 8.Which of these is a perfect cube? (a) 39 (b) 27 (c) 49
  9. 9.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  10. 10.What is the value of 8⁵? =
  11. 11.What is the value of 10⁴ × 10⁻¹? =
  12. 12.A cuboid is 4 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  13. 13.What is √121? =
  14. 14.Solve: m/6 + m/3 = 21. What is m?
  15. 15.5 × 10² =
  16. 16.What is ∛1000? =
  17. 17.What is the value of (2/3)⁻¹? =
  18. 18.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  19. 19.A square garden has an area of 2025 square m. How long is each side (in m)?
  20. 20.What amount will ₹26400 grow to in 1 year at 12% per year compound interest (in ₹)?
  21. 21.What amount will ₹5000 grow to in 2 years at 8% per year compound interest (in ₹)?
  22. 22.Write (6⁶)⁵ as a single power 6ⁿ. What is n?
  23. 23.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  24. 24.What is 9³? =
  25. 25.What amount will ₹40300 grow to in 1 year at 15% per year compound interest (in ₹)?
  26. 26.The sum of three consecutive whole numbers is 78. What is the largest of them?
  27. 27.What is √5929? =
  28. 28.Write 7 × 10⁻³ as a decimal. =
  29. 29.The sum of three consecutive whole numbers is 135. What is the largest of them?
  30. 30.Which of these is a perfect cube? (a) 3797 (b) 3375 (c) 3407
  31. 31.What amount will ₹18400 grow to in 2 years at 15% per year compound interest (in ₹)?
  32. 32.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  33. 33.Solve: 5(x − 1) = 3x + 17. What is x?
  34. 34.Find the compound interest on ₹49000 at 20% per year for 3 years, compounded every year (in ₹).
  35. 35.Write 2.4 × 10⁻² as a decimal. =
  36. 36.Use (a − b)² = a² − 2ab + b² to find 91².
  37. 37.A cuboid is 4 cm long, 3 cm wide and 8 cm high. What is its total surface area (in square cm)?
  38. 38.What is 19³? =
  39. 39.A square garden has an area of 25 square m. How long is each side (in m)?
  40. 40.Use a² − b² = (a + b)(a − b) to find 50² − 18².

Answer key

  1. 29
  2. 15
  3. 1/7
  4. 19
  5. 3025
  6. 10
  7. 230
  8. 27
  9. 4
  10. 32768
  11. 1000
  12. 358
  13. 11
  14. 42
  15. 500
  16. 10
  17. 3/2
  18. 2
  19. 45
  20. 29568
  21. 5832
  22. 30
  23. 1944
  24. 729
  25. 46345
  26. 27
  27. 77
  28. 0.007
  29. 46
  30. 3375
  31. 24334
  32. 18
  33. 11
  34. 35672
  35. 0.024
  36. 8281
  37. 136
  38. 6859
  39. 5
  40. 2176

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