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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 997 · 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 sum of the first 20 odd numbers (1 + 3 + 5 + …)?
  2. 2.Use (a + b)(a − b) = a² − b² to find 61 × 59.
  3. 3.Solve: n/4 + n/6 = 25. What is n?
  4. 4.Which of these is a perfect cube? (a) 384 (b) 416 (c) 343
  5. 5.Find the value of x² + 2xy + y² when x = 5 and y = 4.
  6. 6.What is ∛1331? =
  7. 7.Use (a + b)(a − b) = a² − b² to find 64 × 56.
  8. 8.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.Solve: p/5 + p/2 = 7. What is p?
  10. 10.What is the value of 2¹⁴? =
  11. 11.Use (a + b)² = a² + 2ab + b² to find 53².
  12. 12.Solve: y/5 + y/3 = 24. What is y?
  13. 13.3.2 × 10² =
  14. 14.Find the compound interest on ₹51400 at 4% per year for 1 year, compounded every year (in ₹).
  15. 15.What is √1849? =
  16. 16.A father is 18 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  17. 17.The sum of two consecutive whole numbers is 69. What is the largest of them?
  18. 18.What is √3136? =
  19. 19.Which of these is a perfect square? (a) 1480 (b) 1444 (c) 1515
  20. 20.Use (a − b)² = a² − 2ab + b² to find 98².
  21. 21.If a − b = 8 and ab = 20, what is a² + b²?
  22. 22.What is the difference between the compound interest and the simple interest on ₹12500 at 12% per year for 2 years (in ₹)?
  23. 23.Find the value of x² − y² when x = 8 and y = 5.
  24. 24.A father is 9 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  25. 25.Solve: 6m + 20 = 5m + 26. What is m?
  26. 26.Solve: 7x + 2 = 3x + 14. What is x?
  27. 27.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)?
  28. 28.Which of these is a perfect cube? (a) 32 (b) 27 (c) 40
  29. 29.Solve: 8t + 8 = 2t + 56. What is t?
  30. 30.3.3 × 10⁴ =
  31. 31.Find the compound interest on ₹20000 at 12% per year for 2 years, compounded every year (in ₹).
  32. 32.Solve: 7p + 6 = 3p + 30. What is p?
  33. 33.What amount will ₹15600 grow to in 1 year at 10% per year compound interest (in ₹)?
  34. 34.Which of these is a perfect square? (a) 324 (b) 353 (c) 330
  35. 35.The diagonals of a rhombus are 8 cm and 9 cm. What is its area (in square cm)?
  36. 36.Use (a + b)(a − b) = a² − b² to find 52 × 48.
  37. 37.Write (3⁹)⁶ as a single power 3ⁿ. What is n?
  38. 38.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  39. 39.What is ∛4913? =
  40. 40.A square garden has an area of 400 square m. How long is each side (in m)?

Answer key

  1. 400
  2. 3599
  3. 60
  4. 343
  5. 81
  6. 11
  7. 3584
  8. 125
  9. 10
  10. 16384
  11. 2809
  12. 45
  13. 320
  14. 2056
  15. 43
  16. 2
  17. 35
  18. 56
  19. 1444
  20. 9604
  21. 104
  22. 180
  23. 39
  24. 2
  25. 6
  26. 3
  27. 576
  28. 27
  29. 8
  30. 33000
  31. 5088
  32. 6
  33. 17160
  34. 324
  35. 36
  36. 2496
  37. 54
  38. 14
  39. 17
  40. 20

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