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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 929 · 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 36 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  2. 2.Use a² − b² = (a + b)(a − b) to find 62² − 4².
  3. 3.What is the value of 9⁻³ (as a fraction)? =
  4. 4.The length of a rectangle is 7 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  5. 5.Find the value of x² + 2xy + y² when x = 15 and y = 13.
  6. 6.A room is 12 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.Solve: t/3 + t/2 = 5. What is t?
  8. 8.If a + b = 9 and ab = 8, what is a² + b²?
  9. 9.Find the compound interest on ₹32000 at 5% per year for 3 years, compounded every year (in ₹).
  10. 10.A square garden has an area of 196 square m. How long is each side (in m)?
  11. 11.If a + b = 6 and ab = 5, what is a² + b²?
  12. 12.Write 3³ × 3² as a single power 3ⁿ. What is n?
  13. 13.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  14. 14.The length of a rectangle is 4 cm more than its width. Its perimeter is 68 cm. What is its width (in cm)?
  15. 15.Write 5.2 × 10⁻¹ as a decimal. =
  16. 16.Which of these is a perfect cube? (a) 567 (b) 512 (c) 576
  17. 17.Which of these is a perfect square? (a) 1076 (b) 1039 (c) 1024
  18. 18.Use (a + b)² = a² + 2ab + b² to find 42².
  19. 19.A square garden has an area of 1156 square m. How long is each side (in m)?
  20. 20.The sum of four consecutive whole numbers is 150. What is the smallest of them?
  21. 21.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  22. 22.Solve: 4(t − 3) = 3t + 13. What is t?
  23. 23.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  24. 24.How many whole numbers lie between 8² and 9²?
  25. 25.What is the smallest whole number by which 243 must be multiplied to get a perfect square?
  26. 26.Solve: 3m + 5 = m + 21. What is m?
  27. 27.Which of these is a perfect square? (a) 191 (b) 169 (c) 179
  28. 28.Find the compound interest on ₹42000 at 10% per year for 3 years, compounded every year (in ₹).
  29. 29.Find the compound interest on ₹15200 at 20% per year for 2 years, compounded every year (in ₹).
  30. 30.A trapezium has parallel sides of 21 cm and 13 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  31. 31.How many whole numbers lie between 39² and 40²?
  32. 32.Which of these is a perfect cube? (a) 81 (b) 64 (c) 66
  33. 33.A cuboid is 12 cm long, 4 cm wide and 2 cm high. What is its total surface area (in square cm)?
  34. 34.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  35. 35.A trapezium has parallel sides of 15 cm and 18 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  36. 36.Use (a + b)² = a² + 2ab + b² to find 29².
  37. 37.What is the value of 3¹ × 3⁻²? =
  38. 38.What is 10³? =
  39. 39.The diagonals of a rhombus are 8 cm and 8 cm. What is its area (in square cm)?
  40. 40.A room is 5 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?

Answer key

  1. 6
  2. 3828
  3. 1/729
  4. 25
  5. 784
  6. 160
  7. 6
  8. 65
  9. 5044
  10. 14
  11. 26
  12. 5
  13. 9
  14. 15
  15. 0.52
  16. 512
  17. 1024
  18. 1764
  19. 34
  20. 36
  21. 6
  22. 25
  23. 96
  24. 16
  25. 3
  26. 8
  27. 169
  28. 13902
  29. 6688
  30. 204
  31. 78
  32. 64
  33. 160
  34. 11
  35. 33
  36. 841
  37. 1/3
  38. 1000
  39. 32
  40. 120

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