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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 451 · 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 difference between the compound interest and the simple interest on ₹49600 at 15% per year for 2 years (in ₹)?
  2. 2.What is the difference between the compound interest and the simple interest on ₹12500 at 12% per year for 2 years (in ₹)?
  3. 3.What is √3844? =
  4. 4.A square garden has an area of 2809 square m. How long is each side (in m)?
  5. 5.What is 98²? =
  6. 6.Write 3,70,000 in standard form as 3.7 × 10ⁿ. What is n?
  7. 7.The length of a rectangle is 11 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  8. 8.A cuboid is 6 cm long, 8 cm wide and 9 cm high. What is its total surface area (in square cm)?
  9. 9.Solve: x/3 + x/4 = 28. What is x?
  10. 10.What is the value of 2¹⁶? =
  11. 11.Write 9¹¹ ÷ 9⁷ as a single power 9ⁿ. What is n?
  12. 12.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  13. 13.What is 46²? =
  14. 14.What is the difference between the compound interest and the simple interest on ₹5000 at 8% per year for 2 years (in ₹)?
  15. 15.Find the value of x² − 2xy + y² when x = 3 and y = 1.
  16. 16.What is 92²? =
  17. 17.What is the value of 8²? =
  18. 18.If a + b = 19 and ab = 90, what is a² + b²?
  19. 19.What is 25²? =
  20. 20.Solve: 3x + 3 = x + 33. What is x?
  21. 21.A scooter is worth ₹56000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?
  22. 22.What is the value of (2/7)⁻¹? =
  23. 23.What amount will ₹37800 grow to in 1 year at 10% per year compound interest (in ₹)?
  24. 24.Solve: 6(m − 2) = 2m + 32. What is m?
  25. 25.A room is 9 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  26. 26.A trapezium has an area of 105 square cm. Its parallel sides are 18 cm and 17 cm. What is the distance between them (in cm)?
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  29. 29.If a − b = 4 and ab = 96, what is a² + b²?
  30. 30.Use (a + b)² = a² + 2ab + b² to find 14².
  31. 31.A square garden has an area of 3249 square m. How long is each side (in m)?
  32. 32.Solve: 6y + 9 = 3y + 21. What is y?
  33. 33.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
  34. 34.A square garden has an area of 361 square m. How long is each side (in m)?
  35. 35.The sum of four consecutive whole numbers is 50. What is the smallest of them?
  36. 36.Use (a + b)² = a² + 2ab + b² to find 61².
  37. 37.A scooter is worth ₹20100. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  38. 38.Solve: 7p + 6 = p + 12. What is p?
  39. 39.Find the compound interest on ₹28800 at 20% per year for 2 years, compounded every year (in ₹).
  40. 40.What is √7744? =

Answer key

  1. 1116
  2. 180
  3. 62
  4. 53
  5. 9604
  6. 5
  7. 9
  8. 348
  9. 48
  10. 65536
  11. 4
  12. 11
  13. 2116
  14. 32
  15. 4
  16. 8464
  17. 64
  18. 181
  19. 625
  20. 15
  21. 34391
  22. 7/2
  23. 41580
  24. 11
  25. 112
  26. 6
  27. 8
  28. 2
  29. 208
  30. 196
  31. 57
  32. 4
  33. 5
  34. 19
  35. 11
  36. 3721
  37. 19095
  38. 1
  39. 12672
  40. 88

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