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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 777 · 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 2⁴ × 2⁻⁵? =
  2. 2.What is the value of 2⁻⁵ (as a fraction)? =
  3. 3.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  4. 4.The diagonals of a rhombus are 30 cm and 18 cm. What is its area (in square cm)?
  5. 5.A trapezium has parallel sides of 28 cm and 11 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  6. 6.What is the difference between the compound interest and the simple interest on ₹18800 at 5% per year for 2 years (in ₹)?
  7. 7.Write (5⁷)⁷ as a single power 5ⁿ. What is n?
  8. 8.If a − b = 3 and ab = 10, what is a² + b²?
  9. 9.What is the smallest whole number by which 810 must be multiplied to get a perfect square?
  10. 10.Write 3³ × 3⁹ as a single power 3ⁿ. What is n?
  11. 11.A cuboid is 3 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  12. 12.The sum of two consecutive whole numbers is 79. What is the largest of them?
  13. 13.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  14. 14.Use (a + b)² = a² + 2ab + b² to find 77².
  15. 15.Write 5.2 × 10⁻¹ as a decimal. =
  16. 16.Use (a + b)² = a² + 2ab + b² to find 44².
  17. 17.Use (a − b)² = a² − 2ab + b² to find 61².
  18. 18.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  19. 19.Find the value of x² − y² when x = 5 and y = 4.
  20. 20.5.8 × 10⁵ =
  21. 21.A trapezium has parallel sides of 10 cm and 12 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  22. 22.Write 6¹⁰ ÷ 6⁴ as a single power 6ⁿ. What is n?
  23. 23.Write 7.8 × 10⁻¹ as a decimal. =
  24. 24.If a − b = 3 and ab = 4, what is a² + b²?
  25. 25.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
  26. 26.A square garden has an area of 2916 square m. How long is each side (in m)?
  27. 27.Use (a − b)² = a² − 2ab + b² to find 16².
  28. 28.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  29. 29.A cuboid is 3 cm long, 4 cm wide and 7 cm high. What is its total surface area (in square cm)?
  30. 30.The diagonals of a rhombus are 8 cm and 7 cm. What is its area (in square cm)?
  31. 31.What is 74²? =
  32. 32.What is the value of 5¹ × 5⁻⁴? =
  33. 33.Which of these is a perfect cube? (a) 1242 (b) 1000 (c) 1007
  34. 34.What is ∛5832? =
  35. 35.What is 57²? =
  36. 36.What is the value of 6⁶? =
  37. 37.A trapezium has an area of 144 square cm. Its parallel sides are 23 cm and 25 cm. What is the distance between them (in cm)?
  38. 38.Write 8.2 × 10⁻³ as a decimal. =
  39. 39.How many whole numbers lie between 21² and 22²?
  40. 40.What is the value of 3¹ × 3⁻²? =

Answer key

  1. 1/2
  2. 1/32
  3. 14
  4. 270
  5. 156
  6. 47
  7. 49
  8. 29
  9. 10
  10. 12
  11. 122
  12. 40
  13. 3
  14. 5929
  15. 0.52
  16. 1936
  17. 3721
  18. 4
  19. 9
  20. 580000
  21. 121
  22. 6
  23. 0.78
  24. 17
  25. 324
  26. 54
  27. 256
  28. 16
  29. 122
  30. 28
  31. 5476
  32. 1/125
  33. 1000
  34. 18
  35. 3249
  36. 46656
  37. 6
  38. 0.0082
  39. 42
  40. 1/3

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