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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 903 · 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 ₹10800 grow to in 2 years at 25% per year compound interest (in ₹)?
  2. 2.Use (a − b)² = a² − 2ab + b² to find 26².
  3. 3.Write (7⁹)⁸ as a single power 7ⁿ. What is n?
  4. 4.What is √3136? =
  5. 5.The diagonals of a rhombus are 14 cm and 23 cm. What is its area (in square cm)?
  6. 6.A town has 56400 people. The population grows by 20% every year. What will the population be after 2 years?
  7. 7.Find the compound interest on ₹33600 at 5% per year for 2 years, compounded every year (in ₹).
  8. 8.A room is 11 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  9. 9.Solve: t/5 + t/2 = 49. What is t?
  10. 10.Write 310 in standard form as 3.1 × 10ⁿ. What is n?
  11. 11.What is the smallest whole number by which 112 must be divided to get a perfect square?
  12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 148 cm. What is its width (in cm)?
  13. 13.Find the value of x² + 2xy + y² when x = 5 and y = 2.
  14. 14.What is ∛5832? =
  15. 15.Which of these is a perfect square? (a) 1083 (b) 1039 (c) 1024
  16. 16.What amount will ₹32500 grow to in 2 years at 12% per year compound interest (in ₹)?
  17. 17.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  18. 18.Find the compound interest on ₹49500 at 20% per year for 3 years, compounded every year (in ₹).
  19. 19.Solve: n/2 + n/3 = 40. What is n?
  20. 20.The diagonals of a rhombus are 4 cm and 22 cm. What is its area (in square cm)?
  21. 21.A father is 26 years older than his son. In 3 years, the father will be three times as old as his son. How old is the son now?
  22. 22.A cuboid is 11 cm long, 11 cm wide and 10 cm high. What is its total surface area (in square cm)?
  23. 23.What is √529? =
  24. 24.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  25. 25.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 47².
  27. 27.A cuboid is 7 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  28. 28.What amount will ₹59800 grow to in 2 years at 10% per year compound interest (in ₹)?
  29. 29.How many whole numbers lie between 34² and 35²?
  30. 30.9 × 10⁵ =
  31. 31.What is 5³? =
  32. 32.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  33. 33.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  34. 34.The diagonals of a rhombus are 28 cm and 8 cm. What is its area (in square cm)?
  35. 35.What is 96²? =
  36. 36.A room is 6 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  37. 37.What is the value of 5⁻¹ (as a fraction)? =
  38. 38.A father is 39 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?
  39. 39.A square garden has an area of 100 square m. How long is each side (in m)?
  40. 40.Use (a + b)² = a² + 2ab + b² to find 39².

Answer key

  1. 16875
  2. 676
  3. 72
  4. 56
  5. 161
  6. 81216
  7. 3444
  8. 150
  9. 70
  10. 2
  11. 7
  12. 30
  13. 49
  14. 18
  15. 1024
  16. 40768
  17. 14
  18. 36036
  19. 48
  20. 44
  21. 10
  22. 682
  23. 23
  24. 10
  25. 15
  26. 2209
  27. 210
  28. 72358
  29. 68
  30. 900000
  31. 125
  32. 1350
  33. 3
  34. 112
  35. 9216
  36. 128
  37. 1/5
  38. 11
  39. 10
  40. 1521

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