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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 80 · 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 trapezium has an area of 125 square cm. Its parallel sides are 16 cm and 9 cm. What is the distance between them (in cm)?
  2. 2.What is √8281? =
  3. 3.What is the smallest whole number by which 8 must be multiplied to get a perfect square?
  4. 4.What is 17²? =
  5. 5.A square garden has an area of 961 square m. How long is each side (in m)?
  6. 6.Solve: 3(p − 2) = 2p + 3. What is p?
  7. 7.Write 3¹⁰ ÷ 3⁸ as a single power 3ⁿ. What is n?
  8. 8.A square garden has an area of 36 square m. How long is each side (in m)?
  9. 9.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  10. 10.A trapezium has an area of 121 square cm. Its parallel sides are 19 cm and 3 cm. What is the distance between them (in cm)?
  11. 11.How many whole numbers lie between 48² and 49²?
  12. 12.A square garden has an area of 2025 square m. How long is each side (in m)?
  13. 13.Find the compound interest on ₹59400 at 15% per year for 1 year, compounded every year (in ₹).
  14. 14.A cuboid is 10 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  15. 15.Write (3³)⁵ as a single power 3ⁿ. What is n?
  16. 16.The sum of two consecutive whole numbers is 37. What is the smallest of them?
  17. 17.What amount will ₹40000 grow to in 3 years at 10% per year compound interest (in ₹)?
  18. 18.How many whole numbers lie between 26² and 27²?
  19. 19.What is the value of 6⁵? =
  20. 20.How many whole numbers lie between 35² and 36²?
  21. 21.Use a² − b² = (a + b)(a − b) to find 90² − 50².
  22. 22.What is 12²? =
  23. 23.A trapezium has parallel sides of 24 cm and 3 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  24. 24.Find the value of x² − y² when x = 8 and y = 3.
  25. 25.Write (6⁹)⁹ as a single power 6ⁿ. What is n?
  26. 26.The diagonals of a rhombus are 20 cm and 15 cm. What is its area (in square cm)?
  27. 27.What is the value of 2⁻⁷ (as a fraction)? =
  28. 28.What is 4³? =
  29. 29.Write 3² × 3⁷ as a single power 3ⁿ. What is n?
  30. 30.What is √225? =
  31. 31.Which of these is a perfect square? (a) 825 (b) 784 (c) 807
  32. 32.Write 5⁷ ÷ 5⁴ as a single power 5ⁿ. What is n?
  33. 33.If a + b = 15 and ab = 44, what is a² + b²?
  34. 34.Write 1,200 in standard form as 1.2 × 10ⁿ. What is n?
  35. 35.Solve: t/2 + t/6 = 24. What is t?
  36. 36.Use a² − b² = (a + b)(a − b) to find 86² − 46².
  37. 37.What is √784? =
  38. 38.A cuboid is 9 cm long, 8 cm wide and 4 cm high. What is its total surface area (in square cm)?
  39. 39.1.2 × 10⁴ =
  40. 40.A town has 11000 people. The population grows by 10% every year. What will the population be after 1 year?

Answer key

  1. 10
  2. 91
  3. 2
  4. 289
  5. 31
  6. 9
  7. 2
  8. 6
  9. 150
  10. 11
  11. 96
  12. 45
  13. 8910
  14. 472
  15. 15
  16. 18
  17. 53240
  18. 52
  19. 7776
  20. 70
  21. 5600
  22. 144
  23. 216
  24. 55
  25. 81
  26. 150
  27. 1/128
  28. 64
  29. 9
  30. 15
  31. 784
  32. 3
  33. 137
  34. 3
  35. 36
  36. 5280
  37. 28
  38. 280
  39. 12000
  40. 12100

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