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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 222 · 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 = 13 and y = 5.
  2. 2.Which of these is a perfect cube? (a) 3670 (b) 3375 (c) 3825
  3. 3.Solve: 3(p − 2) = p + 26. What is p?
  4. 4.Solve: m/5 + m/2 = 35. What is m?
  5. 5.Solve: p/6 + p/5 = 33. What is p?
  6. 6.What is √961? =
  7. 7.Which of these is a perfect square? (a) 507 (b) 484 (c) 519
  8. 8.A square garden has an area of 1225 square m. How long is each side (in m)?
  9. 9.Write 8³ × 8⁴ as a single power 8ⁿ. What is n?
  10. 10.Solve: p/3 + p/6 = 18. What is p?
  11. 11.What amount will ₹20000 grow to in 2 years at 4% per year compound interest (in ₹)?
  12. 12.A father is 45 years older than his son. In 8 years, the father will be four times as old as his son. How old is the son now?
  13. 13.The diagonals of a rhombus are 8 cm and 3 cm. What is its area (in square cm)?
  14. 14.What is 78²? =
  15. 15.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  16. 16.Find the value of x² + 2xy + y² when x = 5 and y = 1.
  17. 17.What is the value of 10² × 10⁻⁴? =
  18. 18.Find the value of x² − y² when x = 7 and y = 2.
  19. 19.What is the value of 2⁻⁸ (as a fraction)? =
  20. 20.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  21. 21.What is the smallest whole number by which 56 must be multiplied to get a perfect square?
  22. 22.Solve: 4(n − 3) = 3n + 6. What is n?
  23. 23.Solve: 9y + 14 = 2y + 119. What is y?
  24. 24.A trapezium has an area of 33 square cm. Its parallel sides are 19 cm and 14 cm. What is the distance between them (in cm)?
  25. 25.Use a² − b² = (a + b)(a − b) to find 41² − 4².
  26. 26.A square garden has an area of 64 square m. How long is each side (in m)?
  27. 27.A cuboid is 6 cm long, 4 cm wide and 9 cm high. What is its total surface area (in square cm)?
  28. 28.What is 2³? =
  29. 29.What is the difference between the compound interest and the simple interest on ₹6800 at 10% per year for 2 years (in ₹)?
  30. 30.What is ∛343? =
  31. 31.Write 7.2 × 10⁻³ as a decimal. =
  32. 32.What is the value of 2⁸? =
  33. 33.Use (a + b)² = a² + 2ab + b² to find 15².
  34. 34.Find the compound interest on ₹10000 at 4% per year for 2 years, compounded every year (in ₹).
  35. 35.A square garden has an area of 361 square m. How long is each side (in m)?
  36. 36.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  37. 37.What is √9801? =
  38. 38.What is the value of 4⁶? =
  39. 39.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  40. 40.How many whole numbers lie between 5² and 6²?

Answer key

  1. 324
  2. 3375
  3. 16
  4. 50
  5. 90
  6. 31
  7. 484
  8. 35
  9. 7
  10. 36
  11. 21632
  12. 7
  13. 12
  14. 6084
  15. 9
  16. 36
  17. 1/100
  18. 45
  19. 1/256
  20. 36
  21. 14
  22. 18
  23. 15
  24. 2
  25. 1665
  26. 8
  27. 228
  28. 8
  29. 68
  30. 7
  31. 0.0072
  32. 256
  33. 225
  34. 816
  35. 19
  36. 14
  37. 99
  38. 4096
  39. 384
  40. 10

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