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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 162 · 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.Solve: n/3 + n/5 = 16. What is n?
  2. 2.What is √2809? =
  3. 3.What amount will ₹50000 grow to in 2 years at 12% per year compound interest (in ₹)?
  4. 4.A cuboid is 4 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  5. 5.Solve: 5(x − 3) = 4x + 11. What is x?
  6. 6.Use (a + b)² = a² + 2ab + b² to find 17².
  7. 7.Write 2⁷ × 2³ as a single power 2ⁿ. What is n?
  8. 8.The total surface area of a cube is 150 square cm. How long is each edge (in cm)?
  9. 9.Find the value of x² − 2xy + y² when x = 7 and y = 4.
  10. 10.Write 2¹⁴ ÷ 2⁹ as a single power 2ⁿ. What is n?
  11. 11.What is the difference between the compound interest and the simple interest on ₹45000 at 4% per year for 2 years (in ₹)?
  12. 12.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  13. 13.What is 27²? =
  14. 14.Use a² − b² = (a + b)(a − b) to find 23² − 17².
  15. 15.What is the value of 2⁷? =
  16. 16.A scooter is worth ₹16000. Its value falls by 20% every year. What will it be worth after 3 years (in ₹)?
  17. 17.What is the value of (3/8)⁻²? =
  18. 18.Use (a + b)² = a² + 2ab + b² to find 24².
  19. 19.The diagonals of a rhombus are 24 cm and 26 cm. What is its area (in square cm)?
  20. 20.A town has 40400 people. The population grows by 5% every year. What will the population be after 2 years?
  21. 21.If a − b = 1 and ab = 2, what is a² + b²?
  22. 22.Each edge of a cube is 24 cm. What is its total surface area (in square cm)?
  23. 23.What is 3³? =
  24. 24.Solve: y/3 + y/4 = 14. What is y?
  25. 25.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  26. 26.What is the difference between the compound interest and the simple interest on ₹12500 at 8% per year for 2 years (in ₹)?
  27. 27.What amount will ₹33000 grow to in 1 year at 5% per year compound interest (in ₹)?
  28. 28.What amount will ₹57500 grow to in 2 years at 4% per year compound interest (in ₹)?
  29. 29.The diagonals of a rhombus are 8 cm and 18 cm. What is its area (in square cm)?
  30. 30.A room is 7 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  31. 31.Find the compound interest on ₹50200 at 10% per year for 1 year, compounded every year (in ₹).
  32. 32.Write 9⁹ ÷ 9⁷ as a single power 9ⁿ. What is n?
  33. 33.The sum of four consecutive whole numbers is 138. What is the smallest of them?
  34. 34.A father is 6 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  35. 35.What is the value of 3⁻⁶ (as a fraction)? =
  36. 36.How many whole numbers lie between 15² and 16²?
  37. 37.Find the compound interest on ₹34000 at 10% per year for 3 years, compounded every year (in ₹).
  38. 38.The sum of four consecutive whole numbers is 126. What is the smallest of them?
  39. 39.A square garden has an area of 2704 square m. How long is each side (in m)?
  40. 40.A trapezium has an area of 124 square cm. Its parallel sides are 12 cm and 19 cm. What is the distance between them (in cm)?

Answer key

  1. 30
  2. 53
  3. 62720
  4. 94
  5. 26
  6. 289
  7. 10
  8. 5
  9. 9
  10. 5
  11. 72
  12. 14
  13. 729
  14. 240
  15. 128
  16. 8192
  17. 64/9
  18. 576
  19. 312
  20. 44541
  21. 5
  22. 3456
  23. 27
  24. 24
  25. 5
  26. 80
  27. 34650
  28. 62192
  29. 72
  30. 96
  31. 5020
  32. 2
  33. 33
  34. 5
  35. 1/729
  36. 30
  37. 11254
  38. 30
  39. 52
  40. 8

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