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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 52 · 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.What is the smallest whole number by which 405 must be divided to get a perfect square?
  2. 2.Solve: 5(p − 4) = 4p + 9. What is p?
  3. 3.Use a² − b² = (a + b)(a − b) to find 97² − 64².
  4. 4.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  5. 5.Find the value of x² + 2xy + y² when x = 6 and y = 2.
  6. 6.Solve: x/4 + x/2 = 24. What is x?
  7. 7.Use (a + b)² = a² + 2ab + b² to find 19².
  8. 8.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)?
  9. 9.Find the value of x² + 2xy + y² when x = 15 and y = 5.
  10. 10.Which of these is a perfect square? (a) 1326 (b) 1296 (c) 1314
  11. 11.What is the value of 2¹ × 2⁻⁵? =
  12. 12.A cuboid is 13 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  13. 13.Solve: 3m + 12 = m + 16. What is m?
  14. 14.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.A square garden has an area of 256 square m. How long is each side (in m)?
  16. 16.If a + b = 7 and ab = 6, what is a² + b²?
  17. 17.The diagonals of a rhombus are 14 cm and 16 cm. What is its area (in square cm)?
  18. 18.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  19. 19.What is the smallest whole number by which 28 must be multiplied to get a perfect square?
  20. 20.A trapezium has an area of 328 square cm. Its parallel sides are 26 cm and 15 cm. What is the distance between them (in cm)?
  21. 21.What is the value of (3/4)⁻¹? =
  22. 22.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  24. 24.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.What is 18²? =
  26. 26.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
  27. 27.Write 7² × 7² as a single power 7ⁿ. What is n?
  28. 28.What is the value of 3²? =
  29. 29.If a − b = 1 and ab = 2, what is a² + b²?
  30. 30.Write 9.8 × 10⁻¹ as a decimal. =
  31. 31.Solve: 5(x − 3) = x + 21. What is x?
  32. 32.Write 3.3 × 10⁻⁴ as a decimal. =
  33. 33.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 534 (b) 512 (c) 546
  35. 35.What is the value of 4⁴? =
  36. 36.Solve: 3m + 1 = 2m + 14. What is m?
  37. 37.What is ∛13824? =
  38. 38.What is 51²? =
  39. 39.What is the smallest whole number by which 294 must be divided to get a perfect square?
  40. 40.What is the value of 3⁵? =

Answer key

  1. 5
  2. 29
  3. 5313
  4. 4
  5. 64
  6. 32
  7. 361
  8. 484
  9. 400
  10. 1296
  11. 1/16
  12. 112
  13. 2
  14. 125
  15. 16
  16. 37
  17. 112
  18. 3
  19. 7
  20. 16
  21. 4/3
  22. 216
  23. 216
  24. 125
  25. 324
  26. 55566
  27. 4
  28. 9
  29. 5
  30. 0.98
  31. 9
  32. 0.00033
  33. 49
  34. 512
  35. 256
  36. 13
  37. 24
  38. 2601
  39. 6
  40. 243

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