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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 97 · 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.Find the compound interest on ₹35000 at 4% per year for 2 years, compounded every year (in ₹).
  2. 2.What is ∛216? =
  3. 3.How many whole numbers lie between 50² and 51²?
  4. 4.What is 56²? =
  5. 5.Solve: 5(t − 2) = 4t + 5. What is t?
  6. 6.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  7. 7.The length of a rectangle is 10 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  8. 8.A town has 59800 people. The population grows by 5% every year. What will the population be after 1 year?
  9. 9.What is 26²? =
  10. 10.A trapezium has parallel sides of 15 cm and 7 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  11. 11.A scooter is worth ₹14800. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  12. 12.A cuboid is 6 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  13. 13.A room is 7 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  14. 14.Use (a − b)² = a² − 2ab + b² to find 63².
  15. 15.Use (a + b)(a − b) = a² − b² to find 62 × 58.
  16. 16.If a + b = 14 and ab = 40, what is a² + b²?
  17. 17.Solve: 6t + 4 = 4t + 24. What is t?
  18. 18.7.5 × 10² =
  19. 19.What is the value of 7⁵? =
  20. 20.What is ∛3375? =
  21. 21.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  22. 22.Solve: 6n + 5 = 4n + 7. What is n?
  23. 23.Write 2.3 × 10⁻² as a decimal. =
  24. 24.A town has 35000 people. The population grows by 8% every year. What will the population be after 2 years?
  25. 25.Find the value of x² + 2xy + y² when x = 7 and y = 6.
  26. 26.Which of these is a perfect cube? (a) 784 (b) 776 (c) 729
  27. 27.How many whole numbers lie between 29² and 30²?
  28. 28.Write 5.3 × 10⁻² as a decimal. =
  29. 29.What is √2500? =
  30. 30.The length of a rectangle is 2 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  31. 31.Use (a − b)² = a² − 2ab + b² to find 82².
  32. 32.What amount will ₹38800 grow to in 2 years at 5% per year compound interest (in ₹)?
  33. 33.A trapezium has an area of 494 square cm. Its parallel sides are 24 cm and 28 cm. What is the distance between them (in cm)?
  34. 34.A father is 18 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  35. 35.Solve: 5(x − 5) = x + 43. What is x?
  36. 36.What is the difference between the compound interest and the simple interest on ₹29200 at 5% per year for 2 years (in ₹)?
  37. 37.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
  38. 38.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  39. 39.A father is 30 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  40. 40.The length of a rectangle is 12 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?

Answer key

  1. 2856
  2. 6
  3. 100
  4. 3136
  5. 15
  6. 54
  7. 17
  8. 62790
  9. 676
  10. 55
  11. 14208
  12. 214
  13. 80
  14. 3969
  15. 3596
  16. 116
  17. 10
  18. 750
  19. 16807
  20. 15
  21. 49
  22. 1
  23. 0.023
  24. 40824
  25. 169
  26. 729
  27. 58
  28. 0.053
  29. 50
  30. 19
  31. 6724
  32. 42777
  33. 19
  34. 10
  35. 17
  36. 73
  37. 81
  38. 3
  39. 10
  40. 10

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