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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 659 · 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 17³? =
  2. 2.What is √7744? =
  3. 3.What amount will ₹15800 grow to in 1 year at 10% per year compound interest (in ₹)?
  4. 4.What is the difference between the compound interest and the simple interest on ₹23600 at 10% per year for 2 years (in ₹)?
  5. 5.Use (a + b)² = a² + 2ab + b² to find 56².
  6. 6.A trapezium has parallel sides of 28 cm and 19 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  7. 7.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  8. 8.What is the difference between the compound interest and the simple interest on ₹17500 at 12% per year for 2 years (in ₹)?
  9. 9.If a + b = 11 and ab = 10, what is a² + b²?
  10. 10.What is the difference between the compound interest and the simple interest on ₹15000 at 8% per year for 2 years (in ₹)?
  11. 11.Use (a − b)² = a² − 2ab + b² to find 93².
  12. 12.A trapezium has parallel sides of 24 cm and 29 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  13. 13.What is 20³? =
  14. 14.Use a² − b² = (a + b)(a − b) to find 87² − 12².
  15. 15.What amount will ₹33200 grow to in 1 year at 8% per year compound interest (in ₹)?
  16. 16.Which of these is a perfect square? (a) 1369 (b) 1423 (c) 1443
  17. 17.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
  18. 18.Use a² − b² = (a + b)(a − b) to find 69² − 55².
  19. 19.Use (a + b)² = a² + 2ab + b² to find 44².
  20. 20.What is the value of 2⁷? =
  21. 21.The sum of two consecutive whole numbers is 65. What is the largest of them?
  22. 22.Solve: t/6 + t/4 = 35. What is t?
  23. 23.Find the compound interest on ₹32000 at 5% per year for 2 years, compounded every year (in ₹).
  24. 24.The length of a rectangle is 1 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  25. 25.Which of these is a perfect square? (a) 475 (b) 477 (c) 441
  26. 26.A room is 3 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  27. 27.Which of these is a perfect square? (a) 231 (b) 225 (c) 240
  28. 28.What is √900? =
  29. 29.Solve: 5(t − 4) = 2t + 4. What is t?
  30. 30.A square garden has an area of 576 square m. How long is each side (in m)?
  31. 31.Use (a + b)(a − b) = a² − b² to find 53 × 47.
  32. 32.What is the value of 4⁷? =
  33. 33.Write 6.1 × 10⁻⁴ as a decimal. =
  34. 34.What is the value of 2⁶ × 2⁻¹? =
  35. 35.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  36. 36.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)?
  37. 37.What amount will ₹36800 grow to in 3 years at 25% per year compound interest (in ₹)?
  38. 38.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.Write 8.9 × 10⁻¹ as a decimal. =
  40. 40.The length of a rectangle is 13 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?

Answer key

  1. 4913
  2. 88
  3. 17380
  4. 236
  5. 3136
  6. 94
  7. 1944
  8. 252
  9. 101
  10. 96
  11. 8649
  12. 53
  13. 8000
  14. 7425
  15. 35856
  16. 1369
  17. 196
  18. 1736
  19. 1936
  20. 128
  21. 33
  22. 84
  23. 3280
  24. 11
  25. 441
  26. 88
  27. 225
  28. 30
  29. 8
  30. 24
  31. 2491
  32. 16384
  33. 0.00061
  34. 32
  35. 7
  36. 25
  37. 71875
  38. 27
  39. 0.89
  40. 26

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