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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 534 · 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 the difference between the compound interest and the simple interest on ₹18800 at 15% per year for 2 years (in ₹)?
  2. 2.What is the value of 3⁷? =
  3. 3.What is the smallest whole number by which 1215 must be divided to get a perfect square?
  4. 4.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  5. 5.Write 73,00,000 in standard form as 7.3 × 10ⁿ. What is n?
  6. 6.A trapezium has parallel sides of 8 cm and 5 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  7. 7.What is ∛8000? =
  8. 8.The length of a rectangle is 5 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  9. 9.What is the value of 3⁻³ (as a fraction)? =
  10. 10.Use (a + b)² = a² + 2ab + b² to find 34².
  11. 11.What is the value of (3/8)⁻¹? =
  12. 12.What is the value of (1/7)⁻¹? =
  13. 13.What is the value of (4/5)⁻¹? =
  14. 14.What is the smallest whole number by which 180 must be multiplied to get a perfect square?
  15. 15.Solve: x/3 + x/6 = 15. What is x?
  16. 16.Use (a − b)² = a² − 2ab + b² to find 64².
  17. 17.Use (a + b)(a − b) = a² − b² to find 63 × 57.
  18. 18.What is the difference between the compound interest and the simple interest on ₹45600 at 25% per year for 2 years (in ₹)?
  19. 19.Write (2³)⁹ as a single power 2ⁿ. What is n?
  20. 20.A father is 24 years older than his son. In 2 years, the father will be three times as old as his son. How old is the son now?
  21. 21.A trapezium has parallel sides of 18 cm and 8 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  22. 22.Use a² − b² = (a + b)(a − b) to find 33² − 29².
  23. 23.2.1 × 10² =
  24. 24.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  25. 25.Find the value of x² − y² when x = 6 and y = 2.
  26. 26.What amount will ₹27000 grow to in 1 year at 25% per year compound interest (in ₹)?
  27. 27.A square garden has an area of 1849 square m. How long is each side (in m)?
  28. 28.What is √6241? =
  29. 29.Solve: 4n + 1 = 2n + 5. What is n?
  30. 30.Which of these is a perfect square? (a) 471 (b) 448 (c) 441
  31. 31.What amount will ₹48000 grow to in 3 years at 15% per year compound interest (in ₹)?
  32. 32.Write 9.5 × 10⁻² as a decimal. =
  33. 33.A trapezium has parallel sides of 20 cm and 19 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  34. 34.What amount will ₹19700 grow to in 2 years at 20% per year compound interest (in ₹)?
  35. 35.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  36. 36.A trapezium has parallel sides of 4 cm and 6 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  37. 37.Write 9 × 10⁻¹ as a decimal. =
  38. 38.Use (a + b)² = a² + 2ab + b² to find 47².
  39. 39.Use (a + b)² = a² + 2ab + b² to find 33².
  40. 40.What is the value of (1/5)⁻¹? =

Answer key

  1. 423
  2. 2187
  3. 15
  4. 1734
  5. 6
  6. 65
  7. 20
  8. 17
  9. 1/27
  10. 1156
  11. 8/3
  12. 7
  13. 5/4
  14. 5
  15. 30
  16. 4096
  17. 3591
  18. 2850
  19. 27
  20. 10
  21. 130
  22. 248
  23. 210
  24. 2
  25. 32
  26. 33750
  27. 43
  28. 79
  29. 2
  30. 441
  31. 73002
  32. 0.095
  33. 273
  34. 28368
  35. 3456
  36. 60
  37. 0.9
  38. 2209
  39. 1089
  40. 5

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