← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 910 · 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 cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  2. 2.A square garden has an area of 324 square m. How long is each side (in m)?
  3. 3.3.7 × 10³ =
  4. 4.What is the smallest whole number by which 50 must be multiplied to get a perfect square?
  5. 5.Which of these is a perfect cube? (a) 343 (b) 360 (c) 379
  6. 6.A scooter is worth ₹25900. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  7. 7.What is the value of (2/9)⁻¹? =
  8. 8.A trapezium has parallel sides of 10 cm and 17 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  9. 9.What is the value of (3/5)⁻²? =
  10. 10.What is the value of (6/7)⁻¹? =
  11. 11.Use (a + b)(a − b) = a² − b² to find 75 × 65.
  12. 12.Use (a + b)² = a² + 2ab + b² to find 12².
  13. 13.What is the value of 9⁻² (as a fraction)? =
  14. 14.What is the smallest whole number by which 98 must be divided to get a perfect square?
  15. 15.What is 14³? =
  16. 16.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  17. 17.The diagonals of a rhombus are 24 cm and 13 cm. What is its area (in square cm)?
  18. 18.Solve: 5n + 9 = 4n + 11. What is n?
  19. 19.Find the value of x² − y² when x = 6 and y = 4.
  20. 20.Use (a − b)² = a² − 2ab + b² to find 34².
  21. 21.What is the value of (3/4)⁻²? =
  22. 22.Use (a − b)² = a² − 2ab + b² to find 56².
  23. 23.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  24. 24.Find the compound interest on ₹50900 at 10% per year for 1 year, compounded every year (in ₹).
  25. 25.The length of a rectangle is 10 cm more than its width. Its perimeter is 100 cm. What is its width (in cm)?
  26. 26.A trapezium has parallel sides of 8 cm and 21 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  27. 27.What is 38²? =
  28. 28.What is the value of 6⁻² (as a fraction)? =
  29. 29.A town has 40000 people. The population grows by 8% every year. What will the population be after 2 years?
  30. 30.How many whole numbers lie between 28² and 29²?
  31. 31.What amount will ₹40000 grow to in 3 years at 15% per year compound interest (in ₹)?
  32. 32.What is the value of 8²? =
  33. 33.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  34. 34.A room is 5 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.Which of these is a perfect square? (a) 471 (b) 473 (c) 441
  36. 36.Write 7⁷ × 7⁵ as a single power 7ⁿ. What is n?
  37. 37.What is the value of 9²? =
  38. 38.What is the value of 9⁴? =
  39. 39.A cuboid is 3 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  40. 40.What is √676? =

Answer key

  1. 7
  2. 18
  3. 3700
  4. 2
  5. 343
  6. 19425
  7. 9/2
  8. 189
  9. 25/9
  10. 7/6
  11. 4875
  12. 144
  13. 1/81
  14. 2
  15. 2744
  16. 49
  17. 156
  18. 2
  19. 20
  20. 1156
  21. 16/9
  22. 3136
  23. 13
  24. 5090
  25. 20
  26. 145
  27. 1444
  28. 1/36
  29. 46656
  30. 56
  31. 60835
  32. 64
  33. 784
  34. 100
  35. 441
  36. 12
  37. 81
  38. 6561
  39. 52
  40. 26

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets