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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 406 · 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 8²? =
  2. 2.How many whole numbers lie between 49² and 50²?
  3. 3.A trapezium has parallel sides of 26 cm and 17 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  4. 4.Find the compound interest on ₹10200 at 10% per year for 2 years, compounded every year (in ₹).
  5. 5.What is 11²? =
  6. 6.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  7. 7.What is the value of 2⁶? =
  8. 8.What is the value of (3/8)⁻¹? =
  9. 9.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  10. 10.If a − b = 2 and ab = 24, what is a² + b²?
  11. 11.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.Find the value of x² + 2xy + y² when x = 10 and y = 3.
  13. 13.Write 6,90,000 in standard form as 6.9 × 10ⁿ. What is n?
  14. 14.What is the value of 10³ × 10⁻⁵? =
  15. 15.Write 3¹⁶ ÷ 3⁷ as a single power 3ⁿ. What is n?
  16. 16.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.The length of a rectangle is 5 cm more than its width. Its perimeter is 74 cm. What is its width (in cm)?
  18. 18.Use a² − b² = (a + b)(a − b) to find 30² − 10².
  19. 19.Write 85,00,000 in standard form as 8.5 × 10ⁿ. What is n?
  20. 20.What is ∛15625? =
  21. 21.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  22. 22.Solve: 4(x − 1) = x + 11. What is x?
  23. 23.The sum of three consecutive whole numbers is 120. What is the smallest of them?
  24. 24.Use (a + b)² = a² + 2ab + b² to find 64².
  25. 25.What is ∛1000? =
  26. 26.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  27. 27.The sum of four consecutive whole numbers is 182. What is the largest of them?
  28. 28.What amount will ₹26400 grow to in 2 years at 25% per year compound interest (in ₹)?
  29. 29.6.6 × 10⁶ =
  30. 30.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  32. 32.What is 2³? =
  33. 33.Use (a + b)(a − b) = a² − b² to find 69 × 51.
  34. 34.If a − b = 10 and ab = 24, what is a² + b²?
  35. 35.What is the value of 10⁴ × 10⁻¹? =
  36. 36.A square garden has an area of 2209 square m. How long is each side (in m)?
  37. 37.What is 63²? =
  38. 38.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  39. 39.If a − b = 3 and ab = 54, what is a² + b²?
  40. 40.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?

Answer key

  1. 64
  2. 98
  3. 387
  4. 2142
  5. 121
  6. 3
  7. 64
  8. 8/3
  9. 100
  10. 52
  11. 216
  12. 169
  13. 5
  14. 1/100
  15. 9
  16. 216
  17. 16
  18. 800
  19. 6
  20. 25
  21. 2
  22. 5
  23. 39
  24. 4096
  25. 10
  26. 4
  27. 47
  28. 41250
  29. 6600000
  30. 15
  31. 3
  32. 8
  33. 3519
  34. 148
  35. 1000
  36. 47
  37. 3969
  38. 14
  39. 117
  40. 13

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