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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 128 · 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 ₹9800 at 20% per year for 1 year, compounded every year (in ₹).
  2. 2.What is the difference between the compound interest and the simple interest on ₹12400 at 25% per year for 2 years (in ₹)?
  3. 3.How many whole numbers lie between 40² and 41²?
  4. 4.Use (a − b)² = a² − 2ab + b² to find 97².
  5. 5.What is the smallest whole number by which 60 must be divided to get a perfect square?
  6. 6.What is the smallest whole number by which 320 must be divided to get a perfect square?
  7. 7.Solve: 4y + 13 = y + 22. What is y?
  8. 8.The diagonals of a rhombus are 16 cm and 9 cm. What is its area (in square cm)?
  9. 9.The diagonals of a rhombus are 14 cm and 11 cm. What is its area (in square cm)?
  10. 10.Use (a + b)² = a² + 2ab + b² to find 65².
  11. 11.Write 1.7 × 10⁻² as a decimal. =
  12. 12.Write 4⁵ ÷ 4³ as a single power 4ⁿ. What is n?
  13. 13.What is the value of (1/4)⁻²? =
  14. 14.Find the value of x² + 2xy + y² when x = 10 and y = 5.
  15. 15.What is the difference between the compound interest and the simple interest on ₹16700 at 20% per year for 2 years (in ₹)?
  16. 16.Write 2.2 × 10⁻³ as a decimal. =
  17. 17.A father is 30 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  18. 18.Write 9⁹ ÷ 9⁶ as a single power 9ⁿ. What is n?
  19. 19.What is the sum of the first 30 odd numbers (1 + 3 + 5 + …)?
  20. 20.Which of these is a perfect cube? (a) 27 (b) 33 (c) 40
  21. 21.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  22. 22.What is the difference between the compound interest and the simple interest on ₹60000 at 12% per year for 2 years (in ₹)?
  23. 23.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  24. 24.The length of a rectangle is 15 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  25. 25.How many whole numbers lie between 36² and 37²?
  26. 26.What is the difference between the compound interest and the simple interest on ₹9600 at 5% per year for 2 years (in ₹)?
  27. 27.A trapezium has an area of 26 square cm. Its parallel sides are 7 cm and 19 cm. What is the distance between them (in cm)?
  28. 28.A trapezium has parallel sides of 14 cm and 13 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  29. 29.Solve: y/4 + y/3 = 42. What is y?
  30. 30.What is √729? =
  31. 31.A town has 41000 people. The population grows by 10% every year. What will the population be after 3 years?
  32. 32.Solve: 3n + 15 = 2n + 16. What is n?
  33. 33.Use (a + b)(a − b) = a² − b² to find 37 × 23.
  34. 34.What is the difference between the compound interest and the simple interest on ₹42800 at 15% per year for 2 years (in ₹)?
  35. 35.A trapezium has parallel sides of 13 cm and 19 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  36. 36.Find the value of x² + 2xy + y² when x = 13 and y = 8.
  37. 37.What is the value of (1/7)⁻¹? =
  38. 38.How many whole numbers lie between 7² and 8²?
  39. 39.What is the value of 2¹ × 2⁻²? =
  40. 40.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 1960
  2. 775
  3. 80
  4. 9409
  5. 15
  6. 5
  7. 3
  8. 72
  9. 77
  10. 4225
  11. 0.017
  12. 2
  13. 16
  14. 225
  15. 668
  16. 0.0022
  17. 8
  18. 3
  19. 900
  20. 27
  21. 8
  22. 864
  23. 2166
  24. 12
  25. 72
  26. 24
  27. 2
  28. 270
  29. 72
  30. 27
  31. 54571
  32. 1
  33. 851
  34. 963
  35. 208
  36. 441
  37. 7
  38. 14
  39. 1/2
  40. 64

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