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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 201 · 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.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.Solve: 5p + 6 = 2p + 24. What is p?
  3. 3.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?
  4. 4.What is √441? =
  5. 5.A cuboid is 5 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  6. 6.What is √8836? =
  7. 7.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
  8. 8.The length of a rectangle is 8 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  9. 9.What is the value of 2² × 2⁻²? =
  10. 10.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  11. 11.Find the compound interest on ₹10000 at 4% per year for 2 years, compounded every year (in ₹).
  12. 12.Find the value of x² − 2xy + y² when x = 15 and y = 1.
  13. 13.What is 21²? =
  14. 14.A town has 4500 people. The population grows by 20% every year. What will the population be after 3 years?
  15. 15.Use (a + b)(a − b) = a² − b² to find 21 × 19.
  16. 16.What is √8464? =
  17. 17.The sum of three consecutive whole numbers is 105. What is the smallest of them?
  18. 18.Which of these is a perfect square? (a) 1604 (b) 1600 (c) 1602
  19. 19.Use (a + b)² = a² + 2ab + b² to find 79².
  20. 20.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  21. 21.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
  22. 22.Solve: 3(y − 1) = y + 5. What is y?
  23. 23.Which of these is a perfect square? (a) 200 (b) 221 (c) 196
  24. 24.Solve: m/3 + m/6 = 3. What is m?
  25. 25.What is 4³? =
  26. 26.Write 6⁶ × 6⁶ as a single power 6ⁿ. What is n?
  27. 27.What is 95²? =
  28. 28.Find the value of x² − y² when x = 10 and y = 2.
  29. 29.A room is 6 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.A square garden has an area of 169 square m. How long is each side (in m)?
  31. 31.A town has 19600 people. The population grows by 20% every year. What will the population be after 2 years?
  32. 32.What is the smallest whole number by which 325 must be multiplied to get a perfect square?
  33. 33.Solve: n/4 + n/5 = 72. What is n?
  34. 34.What is √5041? =
  35. 35.Use (a − b)² = a² − 2ab + b² to find 82².
  36. 36.The sum of two consecutive whole numbers is 95. What is the smallest of them?
  37. 37.A room is 6 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  38. 38.Solve: 5(n − 3) = 3n + 25. What is n?
  39. 39.What is ∛1331? =
  40. 40.A scooter is worth ₹56000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?

Answer key

  1. 216
  2. 6
  3. 81
  4. 21
  5. 146
  6. 94
  7. 2
  8. 18
  9. 1
  10. 7
  11. 816
  12. 196
  13. 441
  14. 7776
  15. 399
  16. 92
  17. 34
  18. 1600
  19. 6241
  20. 18
  21. 324
  22. 4
  23. 196
  24. 6
  25. 64
  26. 12
  27. 9025
  28. 96
  29. 112
  30. 13
  31. 28224
  32. 13
  33. 160
  34. 71
  35. 6724
  36. 47
  37. 140
  38. 20
  39. 11
  40. 48013

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