← Class 8 final maths test lesson New set →

Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 33 · 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.If a + b = 9 and ab = 18, what is a² + b²?
  2. 2.A father is 14 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  3. 3.What is 6³? =
  4. 4.The length of a rectangle is 4 cm more than its width. Its perimeter is 116 cm. What is its width (in cm)?
  5. 5.What is the value of 3⁻³ (as a fraction)? =
  6. 6.The diagonals of a rhombus are 10 cm and 23 cm. What is its area (in square cm)?
  7. 7.What is ∛4913? =
  8. 8.What is ∛512? =
  9. 9.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.Use (a + b)² = a² + 2ab + b² to find 105².
  11. 11.What is the value of (3/5)⁻²? =
  12. 12.A trapezium has an area of 294 square cm. Its parallel sides are 25 cm and 24 cm. What is the distance between them (in cm)?
  13. 13.What is the value of 3¹ × 3⁻⁶? =
  14. 14.What is the value of 3⁶ × 3⁻⁶? =
  15. 15.The sum of four consecutive whole numbers is 38. What is the largest of them?
  16. 16.A trapezium has an area of 52 square cm. Its parallel sides are 22 cm and 30 cm. What is the distance between them (in cm)?
  17. 17.Find the compound interest on ₹34100 at 20% per year for 2 years, compounded every year (in ₹).
  18. 18.Write 2¹⁰ ÷ 2⁴ as a single power 2ⁿ. What is n?
  19. 19.Use (a + b)² = a² + 2ab + b² to find 77².
  20. 20.Use (a + b)² = a² + 2ab + b² to find 92².
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.Use (a + b)² = a² + 2ab + b² to find 56².
  23. 23.Use (a + b)(a − b) = a² − b² to find 35 × 25.
  24. 24.Write 42,00,000 in standard form as 4.2 × 10ⁿ. What is n?
  25. 25.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.A father is 8 years older than his son. In 4 years, the father will be twice as old as his son. How old is the son now?
  27. 27.Find the compound interest on ₹1600 at 25% per year for 3 years, compounded every year (in ₹).
  28. 28.A room is 4 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  29. 29.Use (a + b)² = a² + 2ab + b² to find 89².
  30. 30.Solve: 6(t − 2) = 5t + 7. What is t?
  31. 31.How many whole numbers lie between 30² and 31²?
  32. 32.The sum of two consecutive whole numbers is 59. What is the smallest of them?
  33. 33.Write 3¹² ÷ 3⁴ as a single power 3ⁿ. What is n?
  34. 34.Which of these is a perfect square? (a) 784 (b) 814 (c) 837
  35. 35.Which of these is a perfect square? (a) 106 (b) 100 (c) 107
  36. 36.The sum of three consecutive whole numbers is 99. What is the largest of them?
  37. 37.Which of these is a perfect cube? (a) 583 (b) 512 (c) 536
  38. 38.Use (a − b)² = a² − 2ab + b² to find 46².
  39. 39.Find the compound interest on ₹34600 at 10% per year for 2 years, compounded every year (in ₹).
  40. 40.Use (a + b)(a − b) = a² − b² to find 68 × 52.

Answer key

  1. 45
  2. 5
  3. 216
  4. 27
  5. 1/27
  6. 115
  7. 17
  8. 8
  9. 27
  10. 11025
  11. 25/9
  12. 12
  13. 1/243
  14. 1
  15. 11
  16. 2
  17. 15004
  18. 6
  19. 5929
  20. 8464
  21. 8
  22. 3136
  23. 875
  24. 6
  25. 125
  26. 4
  27. 1525
  28. 140
  29. 7921
  30. 19
  31. 60
  32. 29
  33. 8
  34. 784
  35. 100
  36. 34
  37. 512
  38. 2116
  39. 7266
  40. 3536

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