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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 502 · 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.A father is 5 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  2. 2.Use (a + b)(a − b) = a² − b² to find 68 × 52.
  3. 3.Each edge of a cube is 22 cm. What is its total surface area (in square cm)?
  4. 4.Use (a + b)² = a² + 2ab + b² to find 36².
  5. 5.Write (4⁹)⁵ as a single power 4ⁿ. What is n?
  6. 6.A father is 6 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  7. 7.What is √1296? =
  8. 8.What is 18³? =
  9. 9.What is the value of 3⁵ × 3⁻⁵? =
  10. 10.What is the smallest whole number by which 176 must be multiplied to get a perfect square?
  11. 11.A trapezium has parallel sides of 29 cm and 14 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  12. 12.A trapezium has an area of 396 square cm. Its parallel sides are 23 cm and 21 cm. What is the distance between them (in cm)?
  13. 13.How many whole numbers lie between 46² and 47²?
  14. 14.Each edge of a cube is 8 cm. What is its total surface area (in square cm)?
  15. 15.Use (a + b)² = a² + 2ab + b² to find 52².
  16. 16.A trapezium has an area of 180 square cm. Its parallel sides are 29 cm and 7 cm. What is the distance between them (in cm)?
  17. 17.Write 2⁹ ÷ 2² as a single power 2ⁿ. What is n?
  18. 18.Write 46,00,000 in standard form as 4.6 × 10ⁿ. What is n?
  19. 19.A cuboid is 6 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  20. 20.What is 20³? =
  21. 21.What is the difference between the compound interest and the simple interest on ₹42500 at 8% per year for 2 years (in ₹)?
  22. 22.What is 7³? =
  23. 23.A trapezium has an area of 203 square cm. Its parallel sides are 12 cm and 17 cm. What is the distance between them (in cm)?
  24. 24.What is 4³? =
  25. 25.Write 3,00,00,000 in standard form as 3 × 10ⁿ. What is n?
  26. 26.What is the value of 2⁷? =
  27. 27.How many whole numbers lie between 44² and 45²?
  28. 28.Write 6.1 × 10⁻³ as a decimal. =
  29. 29.Which of these is a perfect square? (a) 146 (b) 166 (c) 144
  30. 30.What is 53²? =
  31. 31.What is the value of 3⁹? =
  32. 32.If a + b = 7 and ab = 12, what is a² + b²?
  33. 33.What is 86²? =
  34. 34.A trapezium has an area of 117 square cm. Its parallel sides are 15 cm and 3 cm. What is the distance between them (in cm)?
  35. 35.What is the difference between the compound interest and the simple interest on ₹50000 at 12% per year for 2 years (in ₹)?
  36. 36.If a − b = 1 and ab = 2, what is a² + b²?
  37. 37.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  38. 38.Use (a + b)(a − b) = a² − b² to find 43 × 37.
  39. 39.Solve: 6(y − 3) = 5y + 2. What is y?
  40. 40.A cuboid is 13 cm long, 5 cm wide and 6 cm high. What is its total surface area (in square cm)?

Answer key

  1. 4
  2. 3536
  3. 2904
  4. 1296
  5. 45
  6. 4
  7. 36
  8. 5832
  9. 1
  10. 11
  11. 129
  12. 18
  13. 92
  14. 384
  15. 2704
  16. 10
  17. 7
  18. 6
  19. 188
  20. 8000
  21. 272
  22. 343
  23. 14
  24. 64
  25. 7
  26. 128
  27. 88
  28. 0.0061
  29. 144
  30. 2809
  31. 19683
  32. 25
  33. 7396
  34. 13
  35. 720
  36. 5
  37. 49
  38. 1591
  39. 20
  40. 346

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