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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 136 · 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.Find the compound interest on ₹55300 at 10% per year for 2 years, compounded every year (in ₹).
  2. 2.A trapezium has parallel sides of 17 cm and 21 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  3. 3.Find the value of x² − y² when x = 13 and y = 1.
  4. 4.A square garden has an area of 81 square m. How long is each side (in m)?
  5. 5.What amount will ₹40000 grow to in 2 years at 12% per year compound interest (in ₹)?
  6. 6.What is the value of 3⁻¹ (as a fraction)? =
  7. 7.Which of these is a perfect square? (a) 1457 (b) 1444 (c) 1455
  8. 8.What is √4356? =
  9. 9.Find the value of x² + 2xy + y² when x = 15 and y = 11.
  10. 10.What is 15²? =
  11. 11.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  12. 12.Use a² − b² = (a + b)(a − b) to find 36² − 34².
  13. 13.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  14. 14.What is the value of 2⁻⁴ (as a fraction)? =
  15. 15.If a + b = 10 and ab = 9, what is a² + b²?
  16. 16.What is the value of 4⁻⁴ (as a fraction)? =
  17. 17.Use (a + b)(a − b) = a² − b² to find 34 × 26.
  18. 18.Use (a + b)(a − b) = a² − b² to find 106 × 94.
  19. 19.What is 56²? =
  20. 20.The length of a rectangle is 1 cm more than its width. Its perimeter is 122 cm. What is its width (in cm)?
  21. 21.Find the compound interest on ₹32500 at 4% per year for 2 years, compounded every year (in ₹).
  22. 22.The diagonals of a rhombus are 14 cm and 12 cm. What is its area (in square cm)?
  23. 23.Write 9.7 × 10⁻³ as a decimal. =
  24. 24.A square garden has an area of 3481 square m. How long is each side (in m)?
  25. 25.A trapezium has parallel sides of 4 cm and 8 cm, and the distance between them is 7 cm. What is its area (in square cm)?
  26. 26.A trapezium has an area of 108 square cm. Its parallel sides are 17 cm and 10 cm. What is the distance between them (in cm)?
  27. 27.Find the compound interest on ₹40000 at 4% per year for 2 years, compounded every year (in ₹).
  28. 28.2.6 × 10⁶ =
  29. 29.What is the difference between the compound interest and the simple interest on ₹27600 at 5% per year for 2 years (in ₹)?
  30. 30.Solve: 3(m − 3) = m + 9. What is m?
  31. 31.What is √8649? =
  32. 32.Which of these is a perfect cube? (a) 42 (b) 39 (c) 27
  33. 33.What amount will ₹42400 grow to in 1 year at 8% per year compound interest (in ₹)?
  34. 34.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  35. 35.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  36. 36.What is the value of 5⁶? =
  37. 37.Write 3.8 × 10⁻¹ as a decimal. =
  38. 38.A room is 9 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  39. 39.A trapezium has parallel sides of 12 cm and 3 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  40. 40.A square garden has an area of 361 square m. How long is each side (in m)?

Answer key

  1. 11613
  2. 95
  3. 168
  4. 9
  5. 50176
  6. 1/3
  7. 1444
  8. 66
  9. 676
  10. 225
  11. 10
  12. 140
  13. 8
  14. 1/16
  15. 82
  16. 1/256
  17. 884
  18. 9964
  19. 3136
  20. 30
  21. 2652
  22. 84
  23. 0.0097
  24. 59
  25. 42
  26. 8
  27. 3264
  28. 2600000
  29. 69
  30. 9
  31. 93
  32. 27
  33. 45792
  34. 1014
  35. 17
  36. 15625
  37. 0.38
  38. 84
  39. 60
  40. 19

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