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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 640 · 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.Find the value of x² − 2xy + y² when x = 4 and y = 3.
  2. 2.The diagonals of a rhombus are 12 cm and 25 cm. What is its area (in square cm)?
  3. 3.How many whole numbers lie between 22² and 23²?
  4. 4.What is the value of 2³? =
  5. 5.Solve: 5(x − 3) = 2x + 15. What is x?
  6. 6.Use (a + b)² = a² + 2ab + b² to find 46².
  7. 7.A scooter is worth ₹36800. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  8. 8.Solve: 3(p − 2) = p + 2. What is p?
  9. 9.What is the value of (5/9)⁻²? =
  10. 10.Solve: 8y + 15 = 7y + 19. What is y?
  11. 11.Use a² − b² = (a + b)(a − b) to find 52² − 38².
  12. 12.How many whole numbers lie between 13² and 14²?
  13. 13.Find the value of x² − 2xy + y² when x = 8 and y = 6.
  14. 14.Find the compound interest on ₹13200 at 8% per year for 1 year, compounded every year (in ₹).
  15. 15.A town has 13300 people. The population grows by 5% every year. What will the population be after 1 year?
  16. 16.Find the compound interest on ₹18000 at 15% per year for 2 years, compounded every year (in ₹).
  17. 17.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  18. 18.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  19. 19.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  20. 20.What is ∛13824? =
  21. 21.If a − b = 1 and ab = 6, what is a² + b²?
  22. 22.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  23. 23.If a + b = 16 and ab = 48, what is a² + b²?
  24. 24.What is the difference between the compound interest and the simple interest on ₹2500 at 4% per year for 2 years (in ₹)?
  25. 25.What is the value of 3³ × 3⁻¹? =
  26. 26.A cuboid is 15 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  27. 27.A trapezium has an area of 174 square cm. Its parallel sides are 20 cm and 9 cm. What is the distance between them (in cm)?
  28. 28.Solve: 5(t − 3) = t + 49. What is t?
  29. 29.Use (a + b)² = a² + 2ab + b² to find 72².
  30. 30.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
  31. 31.A square garden has an area of 2116 square m. How long is each side (in m)?
  32. 32.Write (6²)³ as a single power 6ⁿ. What is n?
  33. 33.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  34. 34.Solve: x/6 + x/5 = 33. What is x?
  35. 35.Which of these is a perfect square? (a) 729 (b) 735 (c) 756
  36. 36.Use (a − b)² = a² − 2ab + b² to find 77².
  37. 37.The diagonals of a rhombus are 22 cm and 30 cm. What is its area (in square cm)?
  38. 38.Solve: 5(p − 5) = 4p + 3. What is p?
  39. 39.What is the difference between the compound interest and the simple interest on ₹2500 at 12% per year for 2 years (in ₹)?
  40. 40.The sum of two consecutive whole numbers is 19. What is the largest of them?

Answer key

  1. 1
  2. 150
  3. 44
  4. 8
  5. 10
  6. 2116
  7. 32384
  8. 4
  9. 81/25
  10. 4
  11. 1260
  12. 26
  13. 4
  14. 1056
  15. 13965
  16. 5805
  17. 3456
  18. 729
  19. 144
  20. 24
  21. 13
  22. 7
  23. 160
  24. 4
  25. 9
  26. 538
  27. 12
  28. 16
  29. 5184
  30. 196
  31. 46
  32. 6
  33. 2
  34. 90
  35. 729
  36. 5929
  37. 330
  38. 28
  39. 36
  40. 10

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