← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 268 · 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 diagonals of a rhombus are 26 cm and 14 cm. What is its area (in square cm)?
  2. 2.Use (a + b)² = a² + 2ab + b² to find 97².
  3. 3.Use a² − b² = (a + b)(a − b) to find 55² − 21².
  4. 4.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  5. 5.What is the value of 10³ × 10⁻¹? =
  6. 6.Solve: 6(x − 1) = 5x + 5. What is x?
  7. 7.A trapezium has an area of 140 square cm. Its parallel sides are 25 cm and 3 cm. What is the distance between them (in cm)?
  8. 8.Solve: 3(m − 4) = m + 6. What is m?
  9. 9.The sum of two consecutive whole numbers is 15. What is the largest of them?
  10. 10.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  11. 11.Use a² − b² = (a + b)(a − b) to find 21² − 2².
  12. 12.Use a² − b² = (a + b)(a − b) to find 88² − 26².
  13. 13.Use (a + b)² = a² + 2ab + b² to find 58².
  14. 14.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.Write 6³ × 6⁹ as a single power 6ⁿ. What is n?
  16. 16.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  17. 17.Solve: 4(t − 4) = t + 2. What is t?
  18. 18.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  19. 19.What is √5041? =
  20. 20.Solve: n/4 + n/3 = 28. What is n?
  21. 21.The diagonals of a rhombus are 18 cm and 5 cm. What is its area (in square cm)?
  22. 22.Find the compound interest on ₹42400 at 5% per year for 2 years, compounded every year (in ₹).
  23. 23.The diagonals of a rhombus are 24 cm and 17 cm. What is its area (in square cm)?
  24. 24.Solve: 3(n − 1) = 2n + 4. What is n?
  25. 25.What is the smallest whole number by which 45 must be multiplied to get a perfect square?
  26. 26.Write (3⁹)⁵ as a single power 3ⁿ. What is n?
  27. 27.The length of a rectangle is 11 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  28. 28.What amount will ₹32200 grow to in 1 year at 5% per year compound interest (in ₹)?
  29. 29.A trapezium has parallel sides of 21 cm and 29 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  30. 30.The sum of two consecutive whole numbers is 89. What is the largest of them?
  31. 31.If a − b = 2 and ab = 3, what is a² + b²?
  32. 32.What is ∛2744? =
  33. 33.Find the compound interest on ₹5500 at 5% per year for 1 year, compounded every year (in ₹).
  34. 34.Solve: 6(n − 5) = 2n + 2. What is n?
  35. 35.What is the value of (7/8)⁻¹? =
  36. 36.The sum of four consecutive whole numbers is 170. What is the smallest of them?
  37. 37.Which of these is a perfect cube? (a) 512 (b) 540 (c) 538
  38. 38.Use (a − b)² = a² − 2ab + b² to find 26².
  39. 39.The sum of three consecutive whole numbers is 54. What is the largest of them?
  40. 40.Write 1.2 × 10⁻¹ as a decimal. =

Answer key

  1. 182
  2. 9409
  3. 2584
  4. 49
  5. 100
  6. 11
  7. 10
  8. 9
  9. 8
  10. 625
  11. 437
  12. 7068
  13. 3364
  14. 8
  15. 12
  16. 54
  17. 6
  18. 13
  19. 71
  20. 48
  21. 45
  22. 4346
  23. 204
  24. 7
  25. 5
  26. 45
  27. 7
  28. 33810
  29. 100
  30. 45
  31. 10
  32. 14
  33. 275
  34. 8
  35. 8/7
  36. 41
  37. 512
  38. 676
  39. 19
  40. 0.12

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