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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 492 · 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.Use (a − b)² = a² − 2ab + b² to find 74².
  2. 2.What is 8³? =
  3. 3.Which of these is a perfect cube? (a) 1000 (b) 1262 (c) 1128
  4. 4.What is the difference between the compound interest and the simple interest on ₹57600 at 20% per year for 2 years (in ₹)?
  5. 5.What is ∛4096? =
  6. 6.Find the value of x² + 2xy + y² when x = 8 and y = 1.
  7. 7.What is the smallest whole number by which 90 must be divided to get a perfect square?
  8. 8.What is the smallest whole number by which 80 must be divided to get a perfect square?
  9. 9.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  10. 10.What amount will ₹21600 grow to in 2 years at 25% per year compound interest (in ₹)?
  11. 11.Find the value of x² − 2xy + y² when x = 3 and y = 1.
  12. 12.What amount will ₹36800 grow to in 2 years at 25% per year compound interest (in ₹)?
  13. 13.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)?
  14. 14.What is ∛5832? =
  15. 15.A cuboid is 15 cm long, 8 cm wide and 10 cm high. What is its total surface area (in square cm)?
  16. 16.Find the compound interest on ₹40000 at 25% per year for 3 years, compounded every year (in ₹).
  17. 17.If a − b = 1 and ab = 110, what is a² + b²?
  18. 18.A room is 9 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  19. 19.A trapezium has an area of 66 square cm. Its parallel sides are 8 cm and 4 cm. What is the distance between them (in cm)?
  20. 20.Use (a + b)² = a² + 2ab + b² to find 12².
  21. 21.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?
  22. 22.What is the value of 8²? =
  23. 23.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  24. 24.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  25. 25.What amount will ₹33600 grow to in 3 years at 25% per year compound interest (in ₹)?
  26. 26.A trapezium has an area of 164 square cm. Its parallel sides are 19 cm and 22 cm. What is the distance between them (in cm)?
  27. 27.Solve: 5x + 8 = 4x + 19. What is x?
  28. 28.The diagonals of a rhombus are 4 cm and 8 cm. What is its area (in square cm)?
  29. 29.What is the value of 3⁵ × 3⁻⁴? =
  30. 30.Each edge of a cube is 9 cm. What is its total surface area (in square cm)?
  31. 31.Solve: 5(y − 2) = 2y + 11. What is y?
  32. 32.Solve: 4(x − 1) = 2x + 2. What is x?
  33. 33.A trapezium has an area of 43 square cm. Its parallel sides are 21 cm and 22 cm. What is the distance between them (in cm)?
  34. 34.Solve: p/4 + p/3 = 7. What is p?
  35. 35.Which of these is a perfect cube? (a) 3914 (b) 3375 (c) 3589
  36. 36.A room is 10 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  37. 37.Which of these is a perfect square? (a) 152 (b) 144 (c) 153
  38. 38.The length of a rectangle is 6 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?
  39. 39.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  40. 40.Write (2⁶)⁸ as a single power 2ⁿ. What is n?

Answer key

  1. 5476
  2. 512
  3. 1000
  4. 2304
  5. 16
  6. 81
  7. 10
  8. 5
  9. 25
  10. 33750
  11. 4
  12. 57500
  13. 529
  14. 18
  15. 700
  16. 38125
  17. 221
  18. 152
  19. 11
  20. 144
  21. 10
  22. 64
  23. 784
  24. 24
  25. 65625
  26. 8
  27. 11
  28. 16
  29. 3
  30. 486
  31. 7
  32. 3
  33. 2
  34. 12
  35. 3375
  36. 102
  37. 144
  38. 21
  39. 8
  40. 48

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