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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 962 · 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.Solve: 5p + 4 = 4p + 16. What is p?
  2. 2.If a + b = 13 and ab = 30, what is a² + b²?
  3. 3.What is the value of 9⁵? =
  4. 4.Write 6.9 × 10⁻² as a decimal. =
  5. 5.What is the smallest whole number by which 375 must be divided to get a perfect square?
  6. 6.Use (a − b)² = a² − 2ab + b² to find 32².
  7. 7.Write (5⁶)³ as a single power 5ⁿ. What is n?
  8. 8.What is the value of 3⁵? =
  9. 9.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  10. 10.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  11. 11.Write 5.1 × 10⁻¹ as a decimal. =
  12. 12.Solve: 4(n − 1) = 3n + 8. What is n?
  13. 13.What is ∛10648? =
  14. 14.The diagonals of a rhombus are 30 cm and 15 cm. What is its area (in square cm)?
  15. 15.What is the value of (2/7)⁻¹? =
  16. 16.Which of these is a perfect square? (a) 1296 (b) 1299 (c) 1368
  17. 17.What is the smallest whole number by which 72 must be multiplied to get a perfect square?
  18. 18.A father is 32 years older than his son. In 4 years, the father will be three times as old as his son. How old is the son now?
  19. 19.Use (a + b)² = a² + 2ab + b² to find 95².
  20. 20.Write 3.8 × 10⁻¹ as a decimal. =
  21. 21.What is the smallest whole number by which 12 must be multiplied to get a perfect square?
  22. 22.Write 2.4 × 10⁻¹ as a decimal. =
  23. 23.A square garden has an area of 25 square m. How long is each side (in m)?
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.Solve: 7x + 14 = 4x + 29. What is x?
  26. 26.What is ∛512? =
  27. 27.What is the value of 5³ × 5⁻¹? =
  28. 28.Use (a + b)² = a² + 2ab + b² to find 91².
  29. 29.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  30. 30.Find the value of x² − y² when x = 10 and y = 2.
  31. 31.What is the value of 2²? =
  32. 32.A room is 3 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  33. 33.Which of these is a perfect cube? (a) 88 (b) 64 (c) 71
  34. 34.A square garden has an area of 1296 square m. How long is each side (in m)?
  35. 35.What is √7396? =
  36. 36.The diagonals of a rhombus are 22 cm and 13 cm. What is its area (in square cm)?
  37. 37.Write 4,100 in standard form as 4.1 × 10ⁿ. What is n?
  38. 38.The diagonals of a rhombus are 24 cm and 30 cm. What is its area (in square cm)?
  39. 39.What is 12³? =
  40. 40.Which of these is a perfect square? (a) 1627 (b) 1600 (c) 1617

Answer key

  1. 12
  2. 109
  3. 59049
  4. 0.069
  5. 15
  6. 1024
  7. 18
  8. 243
  9. 6
  10. 1014
  11. 0.51
  12. 12
  13. 22
  14. 225
  15. 7/2
  16. 1296
  17. 2
  18. 12
  19. 9025
  20. 0.38
  21. 3
  22. 0.24
  23. 5
  24. 216
  25. 5
  26. 8
  27. 25
  28. 8281
  29. 5
  30. 96
  31. 4
  32. 90
  33. 64
  34. 36
  35. 86
  36. 143
  37. 3
  38. 360
  39. 1728
  40. 1600

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