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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 239 · 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 amount will ₹6400 grow to in 2 years at 5% per year compound interest (in ₹)?
  2. 2.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  3. 3.Find the compound interest on ₹39200 at 20% per year for 2 years, compounded every year (in ₹).
  4. 4.A room is 9 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  5. 5.Solve: n/3 + n/2 = 10. What is n?
  6. 6.What is the sum of the first 10 odd numbers (1 + 3 + 5 + …)?
  7. 7.Find the compound interest on ₹11600 at 15% per year for 2 years, compounded every year (in ₹).
  8. 8.The diagonals of a rhombus are 16 cm and 12 cm. What is its area (in square cm)?
  9. 9.What is the sum of the first 20 odd numbers (1 + 3 + 5 + …)?
  10. 10.How many whole numbers lie between 20² and 21²?
  11. 11.Use (a + b)² = a² + 2ab + b² to find 11².
  12. 12.Write 9¹⁰ ÷ 9⁶ as a single power 9ⁿ. What is n?
  13. 13.What is the value of 3³ × 3⁻³? =
  14. 14.A scooter is worth ₹20800. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  15. 15.What is 24²? =
  16. 16.Which of these is a perfect square? (a) 286 (b) 284 (c) 256
  17. 17.Solve: n/4 + n/6 = 30. What is n?
  18. 18.A father is 7 years older than his son. In 1 year, the father will be twice as old as his son. How old is the son now?
  19. 19.Solve: 4t + 8 = t + 41. What is t?
  20. 20.What is the difference between the compound interest and the simple interest on ₹19200 at 20% per year for 2 years (in ₹)?
  21. 21.A square garden has an area of 1600 square m. How long is each side (in m)?
  22. 22.Use (a + b)(a − b) = a² − b² to find 43 × 37.
  23. 23.What is √4900? =
  24. 24.What is the value of 4⁵? =
  25. 25.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.If a − b = 2 and ab = 35, what is a² + b²?
  27. 27.2.3 × 10³ =
  28. 28.What is the value of 10⁴? =
  29. 29.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 905 (b) 856 (c) 729
  31. 31.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  32. 32.A cuboid is 14 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  33. 33.What is the smallest whole number by which 128 must be multiplied to get a perfect square?
  34. 34.How many whole numbers lie between 16² and 17²?
  35. 35.Find the compound interest on ₹56000 at 15% per year for 3 years, compounded every year (in ₹).
  36. 36.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  37. 37.A scooter is worth ₹22300. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  38. 38.A scooter is worth ₹44000. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  39. 39.Which of these is a perfect cube? (a) 1001 (b) 1000 (c) 1084
  40. 40.The diagonals of a rhombus are 28 cm and 22 cm. What is its area (in square cm)?

Answer key

  1. 7056
  2. 15
  3. 17248
  4. 108
  5. 12
  6. 100
  7. 3741
  8. 96
  9. 400
  10. 40
  11. 121
  12. 4
  13. 1
  14. 8775
  15. 576
  16. 256
  17. 72
  18. 6
  19. 11
  20. 768
  21. 40
  22. 1591
  23. 70
  24. 1024
  25. 125
  26. 74
  27. 2300
  28. 10000
  29. 4
  30. 729
  31. 2
  32. 482
  33. 2
  34. 32
  35. 29169
  36. 13
  37. 21408
  38. 41800
  39. 1000
  40. 308

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