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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 510 · 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.The sum of two consecutive whole numbers is 45. What is the largest of them?
  2. 2.The sum of three consecutive whole numbers is 63. What is the smallest of them?
  3. 3.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.Solve: 3y + 15 = 2y + 17. What is y?
  5. 5.What is the value of 3¹⁰? =
  6. 6.Solve: 6(y − 4) = 2y + 28. What is y?
  7. 7.What is the value of (7/8)⁻²? =
  8. 8.The diagonals of a rhombus are 18 cm and 20 cm. What is its area (in square cm)?
  9. 9.What is the value of 10² × 10⁻¹? =
  10. 10.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
  11. 11.What is 54²? =
  12. 12.The diagonals of a rhombus are 18 cm and 30 cm. What is its area (in square cm)?
  13. 13.Use (a + b)² = a² + 2ab + b² to find 32².
  14. 14.Find the value of x² + 2xy + y² when x = 6 and y = 5.
  15. 15.Write 9⁵ × 9⁴ as a single power 9ⁿ. What is n?
  16. 16.A trapezium has an area of 81 square cm. Its parallel sides are 6 cm and 3 cm. What is the distance between them (in cm)?
  17. 17.What is ∛27? =
  18. 18.Solve: 9y + 8 = 2y + 29. What is y?
  19. 19.Write 2.2 × 10⁻² as a decimal. =
  20. 20.Write (5⁴)² as a single power 5ⁿ. What is n?
  21. 21.Write 7.7 × 10⁻³ as a decimal. =
  22. 22.A square garden has an area of 1600 square m. How long is each side (in m)?
  23. 23.Find the value of x² − y² when x = 6 and y = 2.
  24. 24.What is the value of (5/9)⁻²? =
  25. 25.What is the value of 2⁸? =
  26. 26.A town has 29200 people. The population grows by 5% every year. What will the population be after 2 years?
  27. 27.Solve: 3(m − 2) = m + 16. What is m?
  28. 28.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  29. 29.How many whole numbers lie between 48² and 49²?
  30. 30.Find the value of x² + 2xy + y² when x = 12 and y = 1.
  31. 31.What is the smallest whole number by which 637 must be multiplied to get a perfect square?
  32. 32.Solve: 4y + 16 = y + 25. What is y?
  33. 33.Use (a + b)(a − b) = a² − b² to find 86 × 74.
  34. 34.If a − b = 1 and ab = 2, what is a² + b²?
  35. 35.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 575 (b) 522 (c) 512
  37. 37.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.How many whole numbers lie between 7² and 8²?
  39. 39.What amount will ₹47000 grow to in 1 year at 10% per year compound interest (in ₹)?
  40. 40.What is the difference between the compound interest and the simple interest on ₹31400 at 10% per year for 2 years (in ₹)?

Answer key

  1. 23
  2. 20
  3. 216
  4. 2
  5. 59049
  6. 13
  7. 64/49
  8. 180
  9. 10
  10. 900
  11. 2916
  12. 270
  13. 1024
  14. 121
  15. 9
  16. 18
  17. 3
  18. 3
  19. 0.022
  20. 8
  21. 0.0077
  22. 40
  23. 32
  24. 81/25
  25. 256
  26. 32193
  27. 11
  28. 5
  29. 96
  30. 169
  31. 13
  32. 3
  33. 6364
  34. 5
  35. 4
  36. 512
  37. 64
  38. 14
  39. 51700
  40. 314

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