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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 53 · 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.Write (2³)⁹ as a single power 2ⁿ. What is n?
  2. 2.What is √9025? =
  3. 3.A father is 16 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  4. 4.What is the value of 3³? =
  5. 5.Use (a − b)² = a² − 2ab + b² to find 97².
  6. 6.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  7. 7.Which of these is a perfect square? (a) 841 (b) 853 (c) 881
  8. 8.What is the difference between the compound interest and the simple interest on ₹9500 at 10% per year for 2 years (in ₹)?
  9. 9.The sum of two consecutive whole numbers is 81. What is the smallest of them?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 63².
  11. 11.What is 74²? =
  12. 12.What is 15³? =
  13. 13.Solve: x/4 + x/2 = 15. What is x?
  14. 14.Solve: 6(y − 3) = 2y + 18. What is y?
  15. 15.Write 6 × 10⁻³ as a decimal. =
  16. 16.What is ∛4096? =
  17. 17.What amount will ₹51400 grow to in 1 year at 8% per year compound interest (in ₹)?
  18. 18.A square garden has an area of 225 square m. How long is each side (in m)?
  19. 19.What is the difference between the compound interest and the simple interest on ₹5900 at 10% per year for 2 years (in ₹)?
  20. 20.Find the compound interest on ₹48500 at 15% per year for 1 year, compounded every year (in ₹).
  21. 21.Which of these is a perfect square? (a) 917 (b) 900 (c) 931
  22. 22.How many whole numbers lie between 33² and 34²?
  23. 23.Solve: 4m + 5 = 2m + 13. What is m?
  24. 24.A cuboid is 10 cm long, 11 cm wide and 4 cm high. What is its total surface area (in square cm)?
  25. 25.The length of a rectangle is 4 cm more than its width. Its perimeter is 44 cm. What is its width (in cm)?
  26. 26.Use a² − b² = (a + b)(a − b) to find 34² − 13².
  27. 27.Solve: m/2 + m/5 = 21. What is m?
  28. 28.Solve: 3(p − 1) = p + 19. What is p?
  29. 29.The diagonals of a rhombus are 8 cm and 16 cm. What is its area (in square cm)?
  30. 30.What is ∛512? =
  31. 31.Use a² − b² = (a + b)(a − b) to find 33² − 30².
  32. 32.A square garden has an area of 676 square m. How long is each side (in m)?
  33. 33.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.A square garden has an area of 1369 square m. How long is each side (in m)?
  35. 35.Write 7.6 × 10⁻¹ as a decimal. =
  36. 36.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  37. 37.A trapezium has parallel sides of 5 cm and 10 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 91².
  39. 39.Use (a + b)² = a² + 2ab + b² to find 88².
  40. 40.What is the value of 2⁵ × 2⁻⁶? =

Answer key

  1. 27
  2. 95
  3. 6
  4. 27
  5. 9409
  6. 729
  7. 841
  8. 95
  9. 40
  10. 3969
  11. 5476
  12. 3375
  13. 20
  14. 9
  15. 0.006
  16. 16
  17. 55512
  18. 15
  19. 59
  20. 7275
  21. 900
  22. 66
  23. 4
  24. 388
  25. 9
  26. 987
  27. 30
  28. 11
  29. 64
  30. 8
  31. 189
  32. 26
  33. 125
  34. 37
  35. 0.76
  36. 2
  37. 90
  38. 8281
  39. 7744
  40. 1/2

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