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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 246 · 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.How many whole numbers lie between 16² and 17²?
  2. 2.Use (a + b)(a − b) = a² − b² to find 68 × 52.
  3. 3.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  4. 4.Use a² − b² = (a + b)(a − b) to find 79² − 59².
  5. 5.The diagonals of a rhombus are 8 cm and 28 cm. What is its area (in square cm)?
  6. 6.What is the value of 5³ × 5⁻⁵? =
  7. 7.What is ∛2744? =
  8. 8.What is 6³? =
  9. 9.A square garden has an area of 529 square m. How long is each side (in m)?
  10. 10.A room is 8 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  11. 11.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  12. 12.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  13. 13.A trapezium has parallel sides of 30 cm and 8 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  14. 14.What is the difference between the compound interest and the simple interest on ₹32500 at 12% per year for 2 years (in ₹)?
  15. 15.Write 2.3 × 10⁻³ as a decimal. =
  16. 16.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  17. 17.Which of these is a perfect square? (a) 576 (b) 617 (c) 577
  18. 18.A square garden has an area of 2809 square m. How long is each side (in m)?
  19. 19.A cuboid is 11 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  20. 20.Find the compound interest on ₹57000 at 10% per year for 3 years, compounded every year (in ₹).
  21. 21.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  22. 22.What amount will ₹48800 grow to in 2 years at 5% per year compound interest (in ₹)?
  23. 23.What is the difference between the compound interest and the simple interest on ₹44000 at 5% per year for 2 years (in ₹)?
  24. 24.Which of these is a perfect square? (a) 1182 (b) 1162 (c) 1156
  25. 25.What is the value of 2³ × 2⁻⁶? =
  26. 26.What is the value of 3⁻³ (as a fraction)? =
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.A cuboid is 11 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  29. 29.Find the value of x² − y² when x = 7 and y = 2.
  30. 30.Write 8⁹ × 8⁸ as a single power 8ⁿ. What is n?
  31. 31.Write 21,00,000 in standard form as 2.1 × 10ⁿ. What is n?
  32. 32.What is 4³? =
  33. 33.What is the value of 5¹ × 5⁻⁴? =
  34. 34.If a + b = 3 and ab = 2, what is a² + b²?
  35. 35.What is the value of 3³ × 3⁻¹? =
  36. 36.What is ∛3375? =
  37. 37.Find the compound interest on ₹48600 at 20% per year for 2 years, compounded every year (in ₹).
  38. 38.A father is 14 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  39. 39.Find the compound interest on ₹8900 at 8% per year for 1 year, compounded every year (in ₹).
  40. 40.The diagonals of a rhombus are 22 cm and 28 cm. What is its area (in square cm)?

Answer key

  1. 32
  2. 3536
  3. 49
  4. 2760
  5. 112
  6. 1/25
  7. 14
  8. 216
  9. 23
  10. 90
  11. 1014
  12. 729
  13. 95
  14. 468
  15. 0.0023
  16. 4
  17. 576
  18. 53
  19. 148
  20. 18867
  21. 1536
  22. 53802
  23. 110
  24. 1156
  25. 1/8
  26. 1/27
  27. 64
  28. 278
  29. 45
  30. 17
  31. 6
  32. 64
  33. 1/125
  34. 5
  35. 9
  36. 15
  37. 21384
  38. 11
  39. 712
  40. 308

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