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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 602 · 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.Write 7³ × 7⁹ as a single power 7ⁿ. What is n?
  2. 2.A trapezium has an area of 42 square cm. Its parallel sides are 5 cm and 2 cm. What is the distance between them (in cm)?
  3. 3.Which of these is a perfect cube? (a) 512 (b) 669 (c) 542
  4. 4.Use (a + b)(a − b) = a² − b² to find 103 × 97.
  5. 5.What is the value of 2³ × 2⁻¹? =
  6. 6.What is √361? =
  7. 7.A town has 4200 people. The population grows by 25% every year. What will the population be after 1 year?
  8. 8.Solve: 6p + 7 = 2p + 35. What is p?
  9. 9.Solve: 6m + 2 = 4m + 26. What is m?
  10. 10.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  11. 11.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  12. 12.The sum of two consecutive whole numbers is 99. What is the largest of them?
  13. 13.Solve: 8t + 6 = t + 76. What is t?
  14. 14.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  15. 15.The sum of three consecutive whole numbers is 39. What is the largest of them?
  16. 16.Use (a − b)² = a² − 2ab + b² to find 92².
  17. 17.Use a² − b² = (a + b)(a − b) to find 31² − 16².
  18. 18.Which of these is a perfect square? (a) 1252 (b) 1225 (c) 1291
  19. 19.A trapezium has parallel sides of 15 cm and 12 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  20. 20.Solve: 4(n − 5) = 3n + 10. What is n?
  21. 21.Write 48,000 in standard form as 4.8 × 10ⁿ. What is n?
  22. 22.What is the smallest whole number by which 18 must be multiplied to get a perfect square?
  23. 23.What is the value of 10²? =
  24. 24.Solve: y/4 + y/5 = 54. What is y?
  25. 25.Find the compound interest on ₹38400 at 10% per year for 1 year, compounded every year (in ₹).
  26. 26.Find the compound interest on ₹2500 at 12% per year for 2 years, compounded every year (in ₹).
  27. 27.Write 8¹² ÷ 8⁷ as a single power 8ⁿ. What is n?
  28. 28.Solve: 3m + 12 = 2m + 20. What is m?
  29. 29.How many whole numbers lie between 35² and 36²?
  30. 30.A trapezium has parallel sides of 20 cm and 4 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  31. 31.Solve: x/5 + x/2 = 7. What is x?
  32. 32.Which of these is a perfect cube? (a) 343 (b) 476 (c) 482
  33. 33.A trapezium has parallel sides of 26 cm and 12 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  34. 34.A room is 7 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  35. 35.A trapezium has parallel sides of 30 cm and 11 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  36. 36.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  38. 38.Use (a + b)² = a² + 2ab + b² to find 73².
  39. 39.A room is 4 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  40. 40.Use (a + b)² = a² + 2ab + b² to find 17².

Answer key

  1. 12
  2. 12
  3. 512
  4. 9991
  5. 4
  6. 19
  7. 5250
  8. 7
  9. 12
  10. 8
  11. 121
  12. 50
  13. 10
  14. 7
  15. 14
  16. 8464
  17. 705
  18. 1225
  19. 27
  20. 30
  21. 4
  22. 2
  23. 100
  24. 120
  25. 3840
  26. 636
  27. 5
  28. 8
  29. 70
  30. 216
  31. 10
  32. 343
  33. 304
  34. 66
  35. 328
  36. 15
  37. 9
  38. 5329
  39. 56
  40. 289

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