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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 550 · 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 7,00,000 in standard form as 7 × 10ⁿ. What is n?
  2. 2.How many whole numbers lie between 42² and 43²?
  3. 3.Use (a + b)(a − b) = a² − b² to find 43 × 37.
  4. 4.What is 7³? =
  5. 5.5.7 × 10⁵ =
  6. 6.Use (a + b)(a − b) = a² − b² to find 102 × 98.
  7. 7.A room is 9 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  8. 8.What is the value of 7⁵? =
  9. 9.What is the value of 2⁻⁴ (as a fraction)? =
  10. 10.What is the value of 4⁶? =
  11. 11.Write 5.1 × 10⁻¹ as a decimal. =
  12. 12.The sum of four consecutive whole numbers is 82. What is the smallest of them?
  13. 13.Solve: m/2 + m/4 = 21. What is m?
  14. 14.Use (a − b)² = a² − 2ab + b² to find 11².
  15. 15.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  16. 16.The length of a rectangle is 1 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  17. 17.A town has 15000 people. The population grows by 10% every year. What will the population be after 3 years?
  18. 18.What is the value of 10⁵ × 10⁻³? =
  19. 19.What is the smallest whole number by which 54 must be multiplied to get a perfect square?
  20. 20.Use (a + b)² = a² + 2ab + b² to find 16².
  21. 21.What amount will ₹54700 grow to in 1 year at 20% per year compound interest (in ₹)?
  22. 22.Which of these is a perfect cube? (a) 750 (b) 799 (c) 729
  23. 23.The total surface area of a cube is 1734 square cm. How long is each edge (in cm)?
  24. 24.What is 6³? =
  25. 25.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  27. 27.What is √3721? =
  28. 28.A room is 7 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  29. 29.How many whole numbers lie between 44² and 45²?
  30. 30.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  31. 31.Use (a − b)² = a² − 2ab + b² to find 92².
  32. 32.If a − b = 1 and ab = 2, what is a² + b²?
  33. 33.How many whole numbers lie between 29² and 30²?
  34. 34.The length of a rectangle is 11 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  35. 35.What is ∛64? =
  36. 36.A trapezium has parallel sides of 30 cm and 26 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  37. 37.What is the value of 2³ × 2⁻⁴? =
  38. 38.Write 6.2 × 10⁻² as a decimal. =
  39. 39.Find the compound interest on ₹40100 at 20% per year for 2 years, compounded every year (in ₹).
  40. 40.A trapezium has an area of 203 square cm. Its parallel sides are 10 cm and 19 cm. What is the distance between them (in cm)?

Answer key

  1. 5
  2. 84
  3. 1591
  4. 343
  5. 570000
  6. 9996
  7. 112
  8. 16807
  9. 1/16
  10. 4096
  11. 0.51
  12. 19
  13. 28
  14. 121
  15. 4
  16. 12
  17. 19965
  18. 100
  19. 6
  20. 256
  21. 65640
  22. 729
  23. 17
  24. 216
  25. 7
  26. 9
  27. 61
  28. 72
  29. 88
  30. 7
  31. 8464
  32. 5
  33. 58
  34. 29
  35. 4
  36. 308
  37. 1/2
  38. 0.062
  39. 17644
  40. 14

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