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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 780 · 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 value of (2/9)⁻²? =
  2. 2.What amount will ₹58200 grow to in 2 years at 10% per year compound interest (in ₹)?
  3. 3.The length of a rectangle is 3 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  4. 4.A father is 12 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  5. 5.A room is 11 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  6. 6.Which of these is a perfect cube? (a) 1739 (b) 1761 (c) 1728
  7. 7.Which of these is a perfect square? (a) 169 (b) 185 (c) 184
  8. 8.What is √5041? =
  9. 9.What is √5929? =
  10. 10.Solve: 4(x − 4) = 3x + 2. What is x?
  11. 11.What is the difference between the compound interest and the simple interest on ₹32500 at 8% per year for 2 years (in ₹)?
  12. 12.What is √2916? =
  13. 13.Use (a + b)(a − b) = a² − b² to find 36 × 24.
  14. 14.How many whole numbers lie between 21² and 22²?
  15. 15.What is the value of 2⁶? =
  16. 16.The diagonals of a rhombus are 4 cm and 6 cm. What is its area (in square cm)?
  17. 17.Write 3³ × 3² as a single power 3ⁿ. What is n?
  18. 18.Which of these is a perfect square? (a) 531 (b) 561 (c) 529
  19. 19.What is √7225? =
  20. 20.What amount will ₹17700 grow to in 1 year at 20% per year compound interest (in ₹)?
  21. 21.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  22. 22.What is the value of 4⁻⁴ (as a fraction)? =
  23. 23.What is ∛216? =
  24. 24.Find the value of x² − y² when x = 8 and y = 4.
  25. 25.Solve: 7p + 12 = 5p + 36. What is p?
  26. 26.What is the value of (1/3)⁻¹? =
  27. 27.What is the value of 10² × 10⁻¹? =
  28. 28.Use (a + b)² = a² + 2ab + b² to find 56².
  29. 29.The diagonals of a rhombus are 26 cm and 11 cm. What is its area (in square cm)?
  30. 30.What is ∛2744? =
  31. 31.The length of a rectangle is 3 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  32. 32.Write 3.8 × 10⁻² as a decimal. =
  33. 33.What is 17³? =
  34. 34.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has an area of 392 square cm. Its parallel sides are 20 cm and 29 cm. What is the distance between them (in cm)?
  36. 36.What is ∛6859? =
  37. 37.What is the value of 10³? =
  38. 38.A square garden has an area of 2500 square m. How long is each side (in m)?
  39. 39.What is the value of 3⁷? =
  40. 40.A room is 3 m long, 3 m wide and 3 m high. What is the area of its four walls (in square m)?

Answer key

  1. 81/4
  2. 70422
  3. 13
  4. 2
  5. 152
  6. 1728
  7. 169
  8. 71
  9. 77
  10. 18
  11. 208
  12. 54
  13. 864
  14. 42
  15. 64
  16. 12
  17. 5
  18. 529
  19. 85
  20. 21240
  21. 25
  22. 1/256
  23. 6
  24. 48
  25. 12
  26. 3
  27. 10
  28. 3136
  29. 143
  30. 14
  31. 19
  32. 0.038
  33. 4913
  34. 13
  35. 16
  36. 19
  37. 1000
  38. 50
  39. 2187
  40. 36

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