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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 184 · 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.The sum of three consecutive whole numbers is 123. What is the smallest of them?
  2. 2.Solve: 3(n − 5) = n + 23. What is n?
  3. 3.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  4. 4.Which of these is a perfect square? (a) 488 (b) 484 (c) 501
  5. 5.If a − b = 2 and ab = 24, what is a² + b²?
  6. 6.What is the smallest whole number by which 275 must be multiplied to get a perfect square?
  7. 7.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 408 (b) 343 (c) 347
  9. 9.A room is 6 m long, 6 m wide and 5 m high. What is the area of its four walls (in square m)?
  10. 10.6.7 × 10³ =
  11. 11.How many whole numbers lie between 41² and 42²?
  12. 12.Which of these is a perfect square? (a) 372 (b) 365 (c) 361
  13. 13.What is 10³? =
  14. 14.A father is 16 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?
  15. 15.What amount will ₹35000 grow to in 2 years at 12% per year compound interest (in ₹)?
  16. 16.Use (a + b)² = a² + 2ab + b² to find 73².
  17. 17.How many whole numbers lie between 17² and 18²?
  18. 18.What is √3136? =
  19. 19.Solve: y/4 + y/3 = 21. What is y?
  20. 20.Use (a − b)² = a² − 2ab + b² to find 88².
  21. 21.Which of these is a perfect square? (a) 298 (b) 321 (c) 289
  22. 22.A cuboid is 13 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  23. 23.What is the value of 4³? =
  24. 24.Use (a − b)² = a² − 2ab + b² to find 23².
  25. 25.A town has 53400 people. The population grows by 8% every year. What will the population be after 1 year?
  26. 26.A square garden has an area of 3025 square m. How long is each side (in m)?
  27. 27.A father is 9 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  28. 28.What is 11³? =
  29. 29.Write 3.7 × 10⁻⁴ as a decimal. =
  30. 30.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  31. 31.What is the value of 3² × 3⁻⁵? =
  32. 32.What is the difference between the compound interest and the simple interest on ₹57500 at 4% per year for 2 years (in ₹)?
  33. 33.Which of these is a perfect cube? (a) 1653 (b) 1402 (c) 1331
  34. 34.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  35. 35.A square garden has an area of 1521 square m. How long is each side (in m)?
  36. 36.What is √169? =
  37. 37.Write (6³)² as a single power 6ⁿ. What is n?
  38. 38.A room is 11 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  39. 39.Use a² − b² = (a + b)(a − b) to find 29² − 12².
  40. 40.Find the value of x² − y² when x = 8 and y = 6.

Answer key

  1. 40
  2. 19
  3. 2904
  4. 484
  5. 52
  6. 11
  7. 16
  8. 343
  9. 120
  10. 6700
  11. 82
  12. 361
  13. 1000
  14. 7
  15. 43904
  16. 5329
  17. 34
  18. 56
  19. 36
  20. 7744
  21. 289
  22. 352
  23. 64
  24. 529
  25. 57672
  26. 55
  27. 3
  28. 1331
  29. 0.00037
  30. 2
  31. 1/27
  32. 92
  33. 1331
  34. 15
  35. 39
  36. 13
  37. 6
  38. 180
  39. 697
  40. 28

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