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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 761 · 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 smallest whole number by which 160 must be multiplied to get a perfect square?
  2. 2.The sum of three consecutive whole numbers is 75. What is the largest of them?
  3. 3.Find the value of x² + 2xy + y² when x = 6 and y = 4.
  4. 4.Which of these is a perfect square? (a) 1007 (b) 972 (c) 961
  5. 5.Find the compound interest on ₹19600 at 10% per year for 2 years, compounded every year (in ₹).
  6. 6.Write (9⁸)⁵ as a single power 9ⁿ. What is n?
  7. 7.What is 82²? =
  8. 8.A cuboid is 15 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  9. 9.How many whole numbers lie between 41² and 42²?
  10. 10.Write 6.5 × 10⁻³ as a decimal. =
  11. 11.What is 2³? =
  12. 12.Solve: p/5 + p/4 = 63. What is p?
  13. 13.A trapezium has parallel sides of 8 cm and 11 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  14. 14.What is the value of (3/4)⁻²? =
  15. 15.Solve: t/2 + t/3 = 15. What is t?
  16. 16.What is 9³? =
  17. 17.A trapezium has parallel sides of 26 cm and 9 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  18. 18.The sum of four consecutive whole numbers is 146. What is the largest of them?
  19. 19.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  20. 20.A scooter is worth ₹32000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  21. 21.Use a² − b² = (a + b)(a − b) to find 44² − 29².
  22. 22.A trapezium has parallel sides of 24 cm and 21 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  23. 23.How many whole numbers lie between 35² and 36²?
  24. 24.Use a² − b² = (a + b)(a − b) to find 88² − 77².
  25. 25.What is the value of 3² × 3⁻²? =
  26. 26.How many whole numbers lie between 34² and 35²?
  27. 27.Solve: 4(n − 4) = n + 2. What is n?
  28. 28.The diagonals of a rhombus are 12 cm and 21 cm. What is its area (in square cm)?
  29. 29.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.Use (a + b)² = a² + 2ab + b² to find 89².
  31. 31.A trapezium has parallel sides of 6 cm and 29 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  32. 32.The diagonals of a rhombus are 8 cm and 16 cm. What is its area (in square cm)?
  33. 33.What is the smallest whole number by which 325 must be divided to get a perfect square?
  34. 34.Use (a + b)² = a² + 2ab + b² to find 105².
  35. 35.What is the value of 2⁷? =
  36. 36.Solve: 6(y − 1) = 4y + 4. What is y?
  37. 37.Use (a + b)² = a² + 2ab + b² to find 12².
  38. 38.A cuboid is 4 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  39. 39.What is √6084? =
  40. 40.Solve: n/4 + n/5 = 27. What is n?

Answer key

  1. 10
  2. 26
  3. 100
  4. 961
  5. 4116
  6. 40
  7. 6724
  8. 558
  9. 82
  10. 0.0065
  11. 8
  12. 140
  13. 133
  14. 16/9
  15. 18
  16. 729
  17. 35
  18. 38
  19. 729
  20. 27436
  21. 1095
  22. 45
  23. 70
  24. 1815
  25. 1
  26. 68
  27. 6
  28. 126
  29. 27
  30. 7921
  31. 70
  32. 64
  33. 13
  34. 11025
  35. 128
  36. 5
  37. 144
  38. 52
  39. 78
  40. 60

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