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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 804 · 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.Solve: 6(p − 5) = 2p + 22. What is p?
  2. 2.A square garden has an area of 1089 square m. How long is each side (in m)?
  3. 3.Which of these is a perfect square? (a) 564 (b) 563 (c) 529
  4. 4.A room is 7 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.The diagonals of a rhombus are 8 cm and 22 cm. What is its area (in square cm)?
  6. 6.A town has 8000 people. The population grows by 5% every year. What will the population be after 3 years?
  7. 7.What is the difference between the compound interest and the simple interest on ₹17600 at 15% per year for 2 years (in ₹)?
  8. 8.3.6 × 10⁷ =
  9. 9.What is the difference between the compound interest and the simple interest on ₹33600 at 5% per year for 2 years (in ₹)?
  10. 10.What is the value of 5⁴ × 5⁻³? =
  11. 11.Write 8.5 × 10⁻³ as a decimal. =
  12. 12.Use a² − b² = (a + b)(a − b) to find 64² − 9².
  13. 13.The sum of two consecutive whole numbers is 57. What is the smallest of them?
  14. 14.What is the difference between the compound interest and the simple interest on ₹13700 at 10% per year for 2 years (in ₹)?
  15. 15.Write 3⁶ × 3⁶ as a single power 3ⁿ. What is n?
  16. 16.Use a² − b² = (a + b)(a − b) to find 74² − 66².
  17. 17.What is 31²? =
  18. 18.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  19. 19.What is 6³? =
  20. 20.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  21. 21.Use (a + b)(a − b) = a² − b² to find 78 × 62.
  22. 22.What is the value of 5² × 5⁻⁶? =
  23. 23.What is the value of 3⁷? =
  24. 24.How many whole numbers lie between 31² and 32²?
  25. 25.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
  27. 27.What is the value of 3⁵ × 3⁻²? =
  28. 28.Which of these is a perfect cube? (a) 2510 (b) 2224 (c) 2197
  29. 29.How many whole numbers lie between 6² and 7²?
  30. 30.What amount will ₹22400 grow to in 2 years at 25% per year compound interest (in ₹)?
  31. 31.Write 5,200 in standard form as 5.2 × 10ⁿ. What is n?
  32. 32.Which of these is a perfect square? (a) 291 (b) 313 (c) 289
  33. 33.Write 5.7 × 10⁻³ as a decimal. =
  34. 34.A cuboid is 5 cm long, 4 cm wide and 3 cm high. What is its total surface area (in square cm)?
  35. 35.Find the value of x² − y² when x = 14 and y = 6.
  36. 36.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  37. 37.What is √2809? =
  38. 38.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
  39. 39.What is the value of 3² × 3⁻¹? =
  40. 40.Write 9¹² ÷ 9³ as a single power 9ⁿ. What is n?

Answer key

  1. 13
  2. 33
  3. 529
  4. 96
  5. 88
  6. 9261
  7. 396
  8. 36000000
  9. 84
  10. 5
  11. 0.0085
  12. 4015
  13. 28
  14. 137
  15. 12
  16. 1120
  17. 961
  18. 18
  19. 216
  20. 1350
  21. 4836
  22. 1/625
  23. 2187
  24. 62
  25. 125
  26. 49
  27. 27
  28. 2197
  29. 12
  30. 35000
  31. 3
  32. 289
  33. 0.0057
  34. 94
  35. 160
  36. 12
  37. 53
  38. 2
  39. 3
  40. 9

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