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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 770 · 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 √6084? =
  2. 2.A trapezium has parallel sides of 29 cm and 30 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  3. 3.Write 3.1 × 10⁻¹ as a decimal. =
  4. 4.Use a² − b² = (a + b)(a − b) to find 37² − 21².
  5. 5.A room is 12 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  6. 6.Solve: 3(m − 5) = m + 17. What is m?
  7. 7.What is the value of 2⁵ × 2⁻²? =
  8. 8.The diagonals of a rhombus are 8 cm and 13 cm. What is its area (in square cm)?
  9. 9.A trapezium has an area of 195 square cm. Its parallel sides are 15 cm and 24 cm. What is the distance between them (in cm)?
  10. 10.Write 6.9 × 10⁻² as a decimal. =
  11. 11.Which of these is a perfect cube? (a) 182 (b) 125 (c) 145
  12. 12.What is 44²? =
  13. 13.The length of a rectangle is 1 cm more than its width. Its perimeter is 26 cm. What is its width (in cm)?
  14. 14.Which of these is a perfect square? (a) 1313 (b) 1296 (c) 1341
  15. 15.Solve: n/4 + n/2 = 21. What is n?
  16. 16.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  17. 17.What is 10³? =
  18. 18.A square garden has an area of 2704 square m. How long is each side (in m)?
  19. 19.How many whole numbers lie between 22² and 23²?
  20. 20.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
  21. 21.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.Solve: t/2 + t/4 = 3. What is t?
  23. 23.What is 73²? =
  24. 24.Find the compound interest on ₹53500 at 10% per year for 2 years, compounded every year (in ₹).
  25. 25.A trapezium has parallel sides of 25 cm and 3 cm, and the distance between them is 3 cm. What is its area (in square cm)?
  26. 26.What is the value of 10²? =
  27. 27.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  28. 28.Use a² − b² = (a + b)(a − b) to find 95² − 89².
  29. 29.Use (a − b)² = a² − 2ab + b² to find 99².
  30. 30.What is 12³? =
  31. 31.What is √361? =
  32. 32.Use (a + b)² = a² + 2ab + b² to find 81².
  33. 33.What is the difference between the compound interest and the simple interest on ₹3200 at 15% per year for 2 years (in ₹)?
  34. 34.What is ∛10648? =
  35. 35.The sum of three consecutive whole numbers is 114. What is the largest of them?
  36. 36.A square garden has an area of 1521 square m. How long is each side (in m)?
  37. 37.What is 9³? =
  38. 38.A father is 27 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  39. 39.Use (a + b)(a − b) = a² − b² to find 59 × 41.
  40. 40.Find the compound interest on ₹38500 at 12% per year for 1 year, compounded every year (in ₹).

Answer key

  1. 78
  2. 295
  3. 0.31
  4. 928
  5. 120
  6. 16
  7. 8
  8. 52
  9. 10
  10. 0.069
  11. 125
  12. 1936
  13. 6
  14. 1296
  15. 28
  16. 3
  17. 1000
  18. 52
  19. 44
  20. 5
  21. 125
  22. 4
  23. 5329
  24. 11235
  25. 42
  26. 100
  27. 1176
  28. 1104
  29. 9801
  30. 1728
  31. 19
  32. 6561
  33. 72
  34. 22
  35. 39
  36. 39
  37. 729
  38. 6
  39. 2419
  40. 4620

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