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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 271 · 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.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.The length of a rectangle is 13 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  3. 3.What is the value of 2⁻⁸ (as a fraction)? =
  4. 4.The sum of two consecutive whole numbers is 37. What is the largest of them?
  5. 5.What is the smallest whole number by which 504 must be divided to get a perfect square?
  6. 6.Which of these is a perfect cube? (a) 729 (b) 878 (c) 793
  7. 7.Write 2³ × 2⁷ as a single power 2ⁿ. What is n?
  8. 8.What is √1369? =
  9. 9.The sum of two consecutive whole numbers is 23. What is the smallest of them?
  10. 10.What is the value of 4³? =
  11. 11.A scooter is worth ₹25000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  12. 12.How many whole numbers lie between 26² and 27²?
  13. 13.Find the compound interest on ₹44100 at 25% per year for 1 year, compounded every year (in ₹).
  14. 14.A father is 28 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  15. 15.Which of these is a perfect square? (a) 122 (b) 121 (c) 126
  16. 16.Use (a − b)² = a² − 2ab + b² to find 94².
  17. 17.Write 6⁴ × 6⁶ as a single power 6ⁿ. What is n?
  18. 18.Use (a + b)(a − b) = a² − b² to find 78 × 62.
  19. 19.A trapezium has an area of 216 square cm. Its parallel sides are 15 cm and 21 cm. What is the distance between them (in cm)?
  20. 20.The sum of four consecutive whole numbers is 106. What is the smallest of them?
  21. 21.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  22. 22.What is √576? =
  23. 23.Solve: 6t + 12 = 3t + 57. What is t?
  24. 24.Solve: 7x + 17 = 4x + 56. What is x?
  25. 25.A square garden has an area of 100 square m. How long is each side (in m)?
  26. 26.What is 15³? =
  27. 27.Find the compound interest on ₹52100 at 15% per year for 1 year, compounded every year (in ₹).
  28. 28.The sum of two consecutive whole numbers is 111. What is the largest of them?
  29. 29.The diagonals of a rhombus are 4 cm and 28 cm. What is its area (in square cm)?
  30. 30.A scooter is worth ₹17600. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
  31. 31.A trapezium has parallel sides of 14 cm and 15 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  32. 32.Write 2.8 × 10⁻³ as a decimal. =
  33. 33.What is the smallest whole number by which 891 must be divided to get a perfect square?
  34. 34.What is the value of (1/3)⁻¹? =
  35. 35.Find the value of x² + 2xy + y² when x = 10 and y = 6.
  36. 36.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  37. 37.What amount will ₹10400 grow to in 2 years at 5% per year compound interest (in ₹)?
  38. 38.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  39. 39.What amount will ₹57000 grow to in 3 years at 20% per year compound interest (in ₹)?
  40. 40.What amount will ₹20700 grow to in 1 year at 15% per year compound interest (in ₹)?

Answer key

  1. 80
  2. 12
  3. 1/256
  4. 19
  5. 14
  6. 729
  7. 10
  8. 37
  9. 11
  10. 64
  11. 12800
  12. 52
  13. 11025
  14. 8
  15. 121
  16. 8836
  17. 10
  18. 4836
  19. 12
  20. 25
  21. 2
  22. 24
  23. 15
  24. 13
  25. 10
  26. 3375
  27. 7815
  28. 56
  29. 56
  30. 9900
  31. 203
  32. 0.0028
  33. 11
  34. 3
  35. 256
  36. 8
  37. 11466
  38. 19
  39. 98496
  40. 23805

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