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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 781 · 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.Use (a + b)(a − b) = a² − b² to find 67 × 53.
  2. 2.The length of a rectangle is 2 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  3. 3.Write 8.8 × 10⁻⁴ as a decimal. =
  4. 4.5.5 × 10³ =
  5. 5.What is 56²? =
  6. 6.Find the value of x² − y² when x = 12 and y = 7.
  7. 7.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  8. 8.Use a² − b² = (a + b)(a − b) to find 88² − 57².
  9. 9.Solve: p/6 + p/2 = 32. What is p?
  10. 10.Write (9⁹)³ as a single power 9ⁿ. What is n?
  11. 11.How many whole numbers lie between 41² and 42²?
  12. 12.A town has 26000 people. The population grows by 15% every year. What will the population be after 2 years?
  13. 13.If a − b = 2 and ab = 3, what is a² + b²?
  14. 14.Which of these is a perfect square? (a) 1386 (b) 1369 (c) 1395
  15. 15.The diagonals of a rhombus are 4 cm and 10 cm. What is its area (in square cm)?
  16. 16.Which of these is a perfect square? (a) 432 (b) 420 (c) 400
  17. 17.Use (a + b)² = a² + 2ab + b² to find 27².
  18. 18.Use (a + b)² = a² + 2ab + b² to find 25².
  19. 19.Write 7,400 in standard form as 7.4 × 10ⁿ. What is n?
  20. 20.Solve: 3(n − 5) = 2n + 3. What is n?
  21. 21.What is ∛1331? =
  22. 22.Use (a + b)² = a² + 2ab + b² to find 15².
  23. 23.The sum of two consecutive whole numbers is 21. What is the smallest of them?
  24. 24.The length of a rectangle is 8 cm more than its width. Its perimeter is 48 cm. What is its width (in cm)?
  25. 25.Solve: 3n + 8 = n + 12. What is n?
  26. 26.Solve: m/2 + m/5 = 14. What is m?
  27. 27.What is the value of 2⁻⁹ (as a fraction)? =
  28. 28.A room is 5 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.A cuboid is 7 cm long, 2 cm wide and 6 cm high. What is its total surface area (in square cm)?
  30. 30.Use (a + b)(a − b) = a² − b² to find 27 × 13.
  31. 31.Use (a + b)(a − b) = a² − b² to find 57 × 43.
  32. 32.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  33. 33.What is the value of 3¹ × 3⁻⁴? =
  34. 34.What amount will ₹32000 grow to in 3 years at 5% per year compound interest (in ₹)?
  35. 35.If a − b = 1 and ab = 2, what is a² + b²?
  36. 36.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  37. 37.Which of these is a perfect cube? (a) 734 (b) 825 (c) 729
  38. 38.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  39. 39.If a − b = 2 and ab = 24, what is a² + b²?
  40. 40.What amount will ₹11200 grow to in 1 year at 25% per year compound interest (in ₹)?

Answer key

  1. 3551
  2. 23
  3. 0.00088
  4. 5500
  5. 3136
  6. 95
  7. 11
  8. 4495
  9. 48
  10. 27
  11. 82
  12. 34385
  13. 10
  14. 1369
  15. 20
  16. 400
  17. 729
  18. 625
  19. 3
  20. 18
  21. 11
  22. 225
  23. 10
  24. 8
  25. 2
  26. 20
  27. 1/512
  28. 100
  29. 136
  30. 351
  31. 2451
  32. 2
  33. 1/27
  34. 37044
  35. 5
  36. 90
  37. 729
  38. 294
  39. 52
  40. 14000

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