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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 697 · 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 96²? =
  2. 2.A room is 3 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  3. 3.What is √3600? =
  4. 4.How many whole numbers lie between 44² and 45²?
  5. 5.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What is 99²? =
  7. 7.Use (a + b)(a − b) = a² − b² to find 82 × 78.
  8. 8.The sum of two consecutive whole numbers is 115. What is the smallest of them?
  9. 9.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  10. 10.Which of these is a perfect square? (a) 1558 (b) 1521 (c) 1560
  11. 11.Use (a + b)(a − b) = a² − b² to find 41 × 39.
  12. 12.Write (5²)² as a single power 5ⁿ. What is n?
  13. 13.Find the compound interest on ₹9100 at 25% per year for 1 year, compounded every year (in ₹).
  14. 14.What is the difference between the compound interest and the simple interest on ₹48400 at 15% per year for 2 years (in ₹)?
  15. 15.A trapezium has an area of 90 square cm. Its parallel sides are 6 cm and 3 cm. What is the distance between them (in cm)?
  16. 16.What is ∛125? =
  17. 17.A cuboid is 15 cm long, 9 cm wide and 3 cm high. What is its total surface area (in square cm)?
  18. 18.Write 8⁹ ÷ 8³ as a single power 8ⁿ. What is n?
  19. 19.What is √3481? =
  20. 20.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  21. 21.Write 6⁵ × 6² as a single power 6ⁿ. What is n?
  22. 22.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.The length of a rectangle is 11 cm more than its width. Its perimeter is 30 cm. What is its width (in cm)?
  24. 24.The sum of four consecutive whole numbers is 62. What is the largest of them?
  25. 25.The length of a rectangle is 9 cm more than its width. Its perimeter is 66 cm. What is its width (in cm)?
  26. 26.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  27. 27.How many whole numbers lie between 46² and 47²?
  28. 28.The sum of three consecutive whole numbers is 51. What is the smallest of them?
  29. 29.Use (a + b)² = a² + 2ab + b² to find 13².
  30. 30.The sum of four consecutive whole numbers is 222. What is the smallest of them?
  31. 31.What amount will ₹38400 grow to in 2 years at 25% per year compound interest (in ₹)?
  32. 32.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  33. 33.The diagonals of a rhombus are 18 cm and 12 cm. What is its area (in square cm)?
  34. 34.How many whole numbers lie between 7² and 8²?
  35. 35.What is the value of 10⁻³ (as a fraction)? =
  36. 36.Find the value of x² − 2xy + y² when x = 10 and y = 9.
  37. 37.A trapezium has an area of 200 square cm. Its parallel sides are 24 cm and 16 cm. What is the distance between them (in cm)?
  38. 38.A trapezium has an area of 198 square cm. Its parallel sides are 9 cm and 13 cm. What is the distance between them (in cm)?
  39. 39.If a − b = 5 and ab = 6, what is a² + b²?
  40. 40.Use (a + b)(a − b) = a² − b² to find 108 × 92.

Answer key

  1. 9216
  2. 72
  3. 60
  4. 88
  5. 8
  6. 9801
  7. 6396
  8. 57
  9. 4
  10. 1521
  11. 1599
  12. 4
  13. 2275
  14. 1089
  15. 20
  16. 5
  17. 414
  18. 6
  19. 59
  20. 12
  21. 7
  22. 125
  23. 2
  24. 17
  25. 12
  26. 25
  27. 92
  28. 16
  29. 169
  30. 54
  31. 60000
  32. 2
  33. 108
  34. 14
  35. 1/1000
  36. 1
  37. 10
  38. 18
  39. 37
  40. 9936

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