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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 786 · 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 53².
  2. 2.A cuboid is 9 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  3. 3.What is the smallest whole number by which 216 must be divided to get a perfect square?
  4. 4.What amount will ₹3500 grow to in 1 year at 5% per year compound interest (in ₹)?
  5. 5.A square garden has an area of 49 square m. How long is each side (in m)?
  6. 6.Use a² − b² = (a + b)(a − b) to find 25² − 4².
  7. 7.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  8. 8.What is the sum of the first 14 odd numbers (1 + 3 + 5 + …)?
  9. 9.A cuboid is 9 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 71².
  11. 11.What is ∛12167? =
  12. 12.A father is 18 years older than his son. In 1 year, the father will be three times as old as his son. How old is the son now?
  13. 13.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
  14. 14.Write 7.1 × 10⁻² as a decimal. =
  15. 15.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  16. 16.Use (a + b)² = a² + 2ab + b² to find 52².
  17. 17.Use (a + b)² = a² + 2ab + b² to find 106².
  18. 18.The sum of two consecutive whole numbers is 65. What is the largest of them?
  19. 19.A trapezium has parallel sides of 18 cm and 15 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  20. 20.Which of these is a perfect cube? (a) 3015 (b) 2744 (c) 3031
  21. 21.What is the value of 10⁵? =
  22. 22.A trapezium has an area of 48 square cm. Its parallel sides are 10 cm and 6 cm. What is the distance between them (in cm)?
  23. 23.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  24. 24.3.3 × 10³ =
  25. 25.Which of these is a perfect square? (a) 607 (b) 576 (c) 624
  26. 26.Write 1,90,000 in standard form as 1.9 × 10ⁿ. What is n?
  27. 27.What is the value of 3⁹? =
  28. 28.Solve: 5x + 10 = x + 22. What is x?
  29. 29.A cuboid is 12 cm long, 5 cm wide and 4 cm high. What is its total surface area (in square cm)?
  30. 30.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  31. 31.What is √400? =
  32. 32.Find the value of x² − 2xy + y² when x = 10 and y = 7.
  33. 33.What is the smallest whole number by which 128 must be multiplied to get a perfect square?
  34. 34.Use a² − b² = (a + b)(a − b) to find 64² − 15².
  35. 35.A trapezium has parallel sides of 4 cm and 9 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  36. 36.A trapezium has parallel sides of 16 cm and 28 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  37. 37.What is √1024? =
  38. 38.What is 8³? =
  39. 39.A trapezium has an area of 153 square cm. Its parallel sides are 22 cm and 29 cm. What is the distance between them (in cm)?
  40. 40.Find the compound interest on ₹11800 at 10% per year for 2 years, compounded every year (in ₹).

Answer key

  1. 2809
  2. 254
  3. 6
  4. 3675
  5. 7
  6. 609
  7. 20
  8. 196
  9. 378
  10. 5041
  11. 23
  12. 8
  13. 900
  14. 0.071
  15. 49
  16. 2704
  17. 11236
  18. 33
  19. 198
  20. 2744
  21. 100000
  22. 6
  23. 13
  24. 3300
  25. 576
  26. 5
  27. 19683
  28. 3
  29. 256
  30. 11
  31. 20
  32. 9
  33. 2
  34. 3871
  35. 26
  36. 176
  37. 32
  38. 512
  39. 6
  40. 2478

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