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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 696 · 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.Write 8⁴ × 8² as a single power 8ⁿ. What is n?
  2. 2.What is 63²? =
  3. 3.A father is 9 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  4. 4.What is 55²? =
  5. 5.Write 2² × 2⁹ as a single power 2ⁿ. What is n?
  6. 6.What is 9³? =
  7. 7.How many whole numbers lie between 31² and 32²?
  8. 8.The diagonals of a rhombus are 4 cm and 30 cm. What is its area (in square cm)?
  9. 9.What is 91²? =
  10. 10.A square garden has an area of 2601 square m. How long is each side (in m)?
  11. 11.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.Write (9⁹)⁴ as a single power 9ⁿ. What is n?
  13. 13.Write 2.7 × 10⁻³ as a decimal. =
  14. 14.What is √2500? =
  15. 15.1.6 × 10⁵ =
  16. 16.How many whole numbers lie between 40² and 41²?
  17. 17.What is the value of 8⁻³ (as a fraction)? =
  18. 18.A square garden has an area of 784 square m. How long is each side (in m)?
  19. 19.What is the value of 4⁻¹ (as a fraction)? =
  20. 20.A room is 10 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  21. 21.What is 4³? =
  22. 22.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  23. 23.Each edge of a cube is 6 cm. What is its total surface area (in square cm)?
  24. 24.What is the difference between the compound interest and the simple interest on ₹42500 at 4% per year for 2 years (in ₹)?
  25. 25.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.Write 8⁷ × 8³ as a single power 8ⁿ. What is n?
  27. 27.Use (a + b)² = a² + 2ab + b² to find 109².
  28. 28.Use (a − b)² = a² − 2ab + b² to find 39².
  29. 29.Find the compound interest on ₹38400 at 25% per year for 3 years, compounded every year (in ₹).
  30. 30.Use (a + b)² = a² + 2ab + b² to find 72².
  31. 31.What is the smallest whole number by which 96 must be divided to get a perfect square?
  32. 32.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  33. 33.A square garden has an area of 49 square m. How long is each side (in m)?
  34. 34.Write 89,00,000 in standard form as 8.9 × 10ⁿ. What is n?
  35. 35.What is the value of (4/5)⁻¹? =
  36. 36.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  37. 37.A father is 5 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  38. 38.Which of these is a perfect cube? (a) 125 (b) 150 (c) 190
  39. 39.Use (a + b)(a − b) = a² − b² to find 35 × 25.
  40. 40.The diagonals of a rhombus are 22 cm and 16 cm. What is its area (in square cm)?

Answer key

  1. 6
  2. 3969
  3. 2
  4. 3025
  5. 11
  6. 729
  7. 62
  8. 60
  9. 8281
  10. 51
  11. 27
  12. 36
  13. 0.0027
  14. 50
  15. 160000
  16. 80
  17. 1/512
  18. 28
  19. 1/4
  20. 152
  21. 64
  22. 10
  23. 216
  24. 68
  25. 27
  26. 10
  27. 11881
  28. 1521
  29. 36600
  30. 5184
  31. 6
  32. 3
  33. 7
  34. 6
  35. 5/4
  36. 7
  37. 3
  38. 125
  39. 875
  40. 176

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