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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 556 · 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.Which of these is a perfect cube? (a) 729 (b) 971 (c) 800
  2. 2.Solve: p/4 + p/5 = 54. What is p?
  3. 3.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  4. 4.A trapezium has an area of 160 square cm. Its parallel sides are 5 cm and 15 cm. What is the distance between them (in cm)?
  5. 5.Solve: 4p + 11 = p + 14. What is p?
  6. 6.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  7. 7.A square garden has an area of 1764 square m. How long is each side (in m)?
  8. 8.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?
  9. 9.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  10. 10.What is 16³? =
  11. 11.The length of a rectangle is 14 cm more than its width. Its perimeter is 104 cm. What is its width (in cm)?
  12. 12.What is ∛125? =
  13. 13.Solve: p/2 + p/6 = 20. What is p?
  14. 14.Use (a + b)² = a² + 2ab + b² to find 23².
  15. 15.How many whole numbers lie between 20² and 21²?
  16. 16.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
  17. 17.What is 49²? =
  18. 18.The diagonals of a rhombus are 14 cm and 6 cm. What is its area (in square cm)?
  19. 19.How many whole numbers lie between 38² and 39²?
  20. 20.Which of these is a perfect cube? (a) 1331 (b) 1693 (c) 1499
  21. 21.A scooter is worth ₹49900. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  22. 22.What is √289? =
  23. 23.What amount will ₹7500 grow to in 2 years at 4% per year compound interest (in ₹)?
  24. 24.What is the smallest whole number by which 40 must be divided to get a perfect square?
  25. 25.What is the smallest whole number by which 567 must be divided to get a perfect square?
  26. 26.Which of these is a perfect cube? (a) 52 (b) 27 (c) 36
  27. 27.Use (a − b)² = a² − 2ab + b² to find 68².
  28. 28.What is the value of 8²? =
  29. 29.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  30. 30.Use (a − b)² = a² − 2ab + b² to find 56².
  31. 31.What amount will ₹57200 grow to in 1 year at 12% per year compound interest (in ₹)?
  32. 32.What is the difference between the compound interest and the simple interest on ₹43200 at 5% per year for 2 years (in ₹)?
  33. 33.The length of a rectangle is 7 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  34. 34.What is ∛1000? =
  35. 35.What is 76²? =
  36. 36.Use (a − b)² = a² − 2ab + b² to find 46².
  37. 37.Solve: 3(n − 1) = 2n + 9. What is n?
  38. 38.A room is 11 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  39. 39.A trapezium has an area of 25 square cm. Its parallel sides are 18 cm and 7 cm. What is the distance between them (in cm)?
  40. 40.What is the value of 2⁴ × 2⁻¹? =

Answer key

  1. 729
  2. 120
  3. 3
  4. 16
  5. 1
  6. 3
  7. 42
  8. 7
  9. 2
  10. 4096
  11. 19
  12. 5
  13. 30
  14. 529
  15. 40
  16. 400
  17. 2401
  18. 42
  19. 76
  20. 1331
  21. 37425
  22. 17
  23. 8112
  24. 10
  25. 7
  26. 27
  27. 4624
  28. 64
  29. 9
  30. 3136
  31. 64064
  32. 108
  33. 8
  34. 10
  35. 5776
  36. 2116
  37. 12
  38. 140
  39. 2
  40. 8

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