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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 871 · 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 72²? =
  2. 2.What is the smallest whole number by which 12 must be divided to get a perfect square?
  3. 3.What is ∛343? =
  4. 4.What is 16²? =
  5. 5.What is the difference between the compound interest and the simple interest on ₹8400 at 15% per year for 2 years (in ₹)?
  6. 6.What is the value of 5⁵ × 5⁻⁴? =
  7. 7.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  8. 8.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  9. 9.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  10. 10.A trapezium has an area of 180 square cm. Its parallel sides are 16 cm and 29 cm. What is the distance between them (in cm)?
  11. 11.A room is 5 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  12. 12.A square garden has an area of 1225 square m. How long is each side (in m)?
  13. 13.The length of a rectangle is 6 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  14. 14.Solve: 4m + 7 = 2m + 21. What is m?
  15. 15.If a + b = 14 and ab = 40, what is a² + b²?
  16. 16.What is the difference between the compound interest and the simple interest on ₹45200 at 5% per year for 2 years (in ₹)?
  17. 17.What is 10³? =
  18. 18.Find the value of x² − y² when x = 14 and y = 6.
  19. 19.A room is 5 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.Solve: 6(m − 1) = 3m + 18. What is m?
  21. 21.Write 3,30,000 in standard form as 3.3 × 10ⁿ. What is n?
  22. 22.What is the value of (5/7)⁻²? =
  23. 23.A father is 16 years older than his son. In 7 years, the father will be twice as old as his son. How old is the son now?
  24. 24.Find the compound interest on ₹14700 at 20% per year for 1 year, compounded every year (in ₹).
  25. 25.Write 1.4 × 10⁻¹ as a decimal. =
  26. 26.What amount will ₹30000 grow to in 3 years at 20% per year compound interest (in ₹)?
  27. 27.Use (a − b)² = a² − 2ab + b² to find 58².
  28. 28.Which of these is a perfect cube? (a) 250 (b) 280 (c) 216
  29. 29.Find the compound interest on ₹30000 at 12% per year for 2 years, compounded every year (in ₹).
  30. 30.Write (2⁵)³ as a single power 2ⁿ. What is n?
  31. 31.What amount will ₹57400 grow to in 1 year at 12% per year compound interest (in ₹)?
  32. 32.What is the value of (2/5)⁻¹? =
  33. 33.Use (a − b)² = a² − 2ab + b² to find 75².
  34. 34.Find the compound interest on ₹36900 at 20% per year for 1 year, compounded every year (in ₹).
  35. 35.Write (4⁵)⁵ as a single power 4ⁿ. What is n?
  36. 36.Write 4⁶ × 4⁶ as a single power 4ⁿ. What is n?
  37. 37.What is the value of 6⁶? =
  38. 38.Write 3¹¹ ÷ 3² as a single power 3ⁿ. What is n?
  39. 39.What is the difference between the compound interest and the simple interest on ₹12500 at 4% per year for 2 years (in ₹)?
  40. 40.Find the compound interest on ₹14600 at 10% per year for 2 years, compounded every year (in ₹).

Answer key

  1. 5184
  2. 3
  3. 7
  4. 256
  5. 189
  6. 5
  7. 600
  8. 4
  9. 4
  10. 8
  11. 84
  12. 35
  13. 30
  14. 7
  15. 116
  16. 113
  17. 1000
  18. 160
  19. 80
  20. 8
  21. 5
  22. 49/25
  23. 9
  24. 2940
  25. 0.14
  26. 51840
  27. 3364
  28. 216
  29. 7632
  30. 15
  31. 64288
  32. 5/2
  33. 5625
  34. 7380
  35. 25
  36. 12
  37. 46656
  38. 9
  39. 20
  40. 3066

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