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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 728 · 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.What is the value of 2³ × 2⁻⁴? =
  2. 2.What is the value of 4⁻² (as a fraction)? =
  3. 3.If a − b = 1 and ab = 2, what is a² + b²?
  4. 4.The sum of three consecutive whole numbers is 60. What is the smallest of them?
  5. 5.Use (a + b)(a − b) = a² − b² to find 59 × 41.
  6. 6.What is the value of 10⁵ × 10⁻¹? =
  7. 7.A trapezium has parallel sides of 4 cm and 2 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  8. 8.Solve: 5(y − 2) = y + 46. What is y?
  9. 9.What is ∛8? =
  10. 10.How many whole numbers lie between 28² and 29²?
  11. 11.A trapezium has parallel sides of 25 cm and 5 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  12. 12.Write 3¹³ ÷ 3⁶ as a single power 3ⁿ. What is n?
  13. 13.The diagonals of a rhombus are 28 cm and 20 cm. What is its area (in square cm)?
  14. 14.Use (a + b)² = a² + 2ab + b² to find 16².
  15. 15.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  16. 16.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  17. 17.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  18. 18.A trapezium has an area of 100 square cm. Its parallel sides are 17 cm and 23 cm. What is the distance between them (in cm)?
  19. 19.A father is 8 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?
  20. 20.If a + b = 4 and ab = 3, what is a² + b²?
  21. 21.Which of these is a perfect cube? (a) 3241 (b) 2786 (c) 2744
  22. 22.What is √2304? =
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.How many whole numbers lie between 36² and 37²?
  25. 25.What is √7921? =
  26. 26.A trapezium has parallel sides of 18 cm and 12 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  27. 27.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  28. 28.What is ∛6859? =
  29. 29.What amount will ₹34000 grow to in 1 year at 4% per year compound interest (in ₹)?
  30. 30.Write 6.4 × 10⁻⁴ as a decimal. =
  31. 31.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.Use (a + b)(a − b) = a² − b² to find 55 × 45.
  33. 33.Find the compound interest on ₹21900 at 10% per year for 1 year, compounded every year (in ₹).
  34. 34.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
  35. 35.The length of a rectangle is 12 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  36. 36.What is 6³? =
  37. 37.Write 330 in standard form as 3.3 × 10ⁿ. What is n?
  38. 38.The length of a rectangle is 2 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  39. 39.Which of these is a perfect cube? (a) 1649 (b) 1469 (c) 1331
  40. 40.Use (a + b)² = a² + 2ab + b² to find 43².

Answer key

  1. 1/2
  2. 1/16
  3. 5
  4. 19
  5. 2419
  6. 10000
  7. 54
  8. 14
  9. 2
  10. 56
  11. 240
  12. 7
  13. 280
  14. 256
  15. 18
  16. 8
  17. 8
  18. 5
  19. 2
  20. 10
  21. 2744
  22. 48
  23. 64
  24. 72
  25. 89
  26. 180
  27. 121
  28. 19
  29. 35360
  30. 0.00064
  31. 125
  32. 2475
  33. 2190
  34. 49
  35. 27
  36. 216
  37. 2
  38. 21
  39. 1331
  40. 1849

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