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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 648 · 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.Solve: x/3 + x/6 = 6. What is x?
  2. 2.The diagonals of a rhombus are 6 cm and 12 cm. What is its area (in square cm)?
  3. 3.Use (a − b)² = a² − 2ab + b² to find 93².
  4. 4.How many whole numbers lie between 5² and 6²?
  5. 5.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  6. 6.What is the value of 2¹⁰? =
  7. 7.Write 7⁹ ÷ 7² as a single power 7ⁿ. What is n?
  8. 8.A scooter is worth ₹34000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  9. 9.How many whole numbers lie between 33² and 34²?
  10. 10.What is the difference between the compound interest and the simple interest on ₹18800 at 5% per year for 2 years (in ₹)?
  11. 11.What is the value of 2⁶ × 2⁻¹? =
  12. 12.What is 6³? =
  13. 13.The sum of four consecutive whole numbers is 58. What is the smallest of them?
  14. 14.A square garden has an area of 144 square m. How long is each side (in m)?
  15. 15.Write 9¹⁴ ÷ 9⁷ as a single power 9ⁿ. What is n?
  16. 16.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  17. 17.What is the value of 10³? =
  18. 18.What is the value of 6²? =
  19. 19.A trapezium has parallel sides of 25 cm and 18 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  20. 20.Which of these is a perfect cube? (a) 216 (b) 265 (c) 313
  21. 21.The sum of two consecutive whole numbers is 57. What is the largest of them?
  22. 22.The sum of three consecutive whole numbers is 129. What is the smallest of them?
  23. 23.Write 63,00,000 in standard form as 6.3 × 10ⁿ. What is n?
  24. 24.What is √1089? =
  25. 25.What is 18²? =
  26. 26.What is the smallest whole number by which 490 must be divided to get a perfect square?
  27. 27.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛6859? =
  29. 29.What is the difference between the compound interest and the simple interest on ₹57500 at 8% per year for 2 years (in ₹)?
  30. 30.If a − b = 2 and ab = 35, what is a² + b²?
  31. 31.What is 47²? =
  32. 32.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  33. 33.Use a² − b² = (a + b)(a − b) to find 96² − 7².
  34. 34.What is 5³? =
  35. 35.What is 22²? =
  36. 36.What is the difference between the compound interest and the simple interest on ₹19500 at 20% per year for 2 years (in ₹)?
  37. 37.A trapezium has parallel sides of 27 cm and 9 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  38. 38.Write 3.8 × 10⁻¹ as a decimal. =
  39. 39.What is the difference between the compound interest and the simple interest on ₹2500 at 12% per year for 2 years (in ₹)?
  40. 40.What is the value of (2/9)⁻²? =

Answer key

  1. 12
  2. 36
  3. 8649
  4. 10
  5. 3
  6. 1024
  7. 7
  8. 17408
  9. 66
  10. 47
  11. 32
  12. 216
  13. 13
  14. 12
  15. 7
  16. 20
  17. 1000
  18. 36
  19. 387
  20. 216
  21. 29
  22. 42
  23. 6
  24. 33
  25. 324
  26. 10
  27. 13
  28. 19
  29. 368
  30. 74
  31. 2209
  32. 7
  33. 9167
  34. 125
  35. 484
  36. 780
  37. 360
  38. 0.38
  39. 36
  40. 81/4

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