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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 243 · 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 ₹24900 at 10% per year for 1 year, compounded every year (in ₹).
  2. 2.A square garden has an area of 144 square m. How long is each side (in m)?
  3. 3.What is 71²? =
  4. 4.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
  5. 5.What is ∛5832? =
  6. 6.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  7. 7.What is 5³? =
  8. 8.Write 4² × 4⁶ as a single power 4ⁿ. What is n?
  9. 9.The length of a rectangle is 3 cm more than its width. Its perimeter is 98 cm. What is its width (in cm)?
  10. 10.Find the compound interest on ₹24000 at 25% per year for 3 years, compounded every year (in ₹).
  11. 11.Use (a − b)² = a² − 2ab + b² to find 32².
  12. 12.What is the smallest whole number by which 54 must be divided to get a perfect square?
  13. 13.Solve: 3p + 10 = p + 26. What is p?
  14. 14.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  15. 15.Which of these is a perfect cube? (a) 384 (b) 343 (c) 424
  16. 16.A room is 7 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  17. 17.Solve: 8x + 2 = 3x + 17. What is x?
  18. 18.What is the value of 5⁻¹ (as a fraction)? =
  19. 19.Solve: n/6 + n/4 = 10. What is n?
  20. 20.The diagonals of a rhombus are 16 cm and 7 cm. What is its area (in square cm)?
  21. 21.A square garden has an area of 900 square m. How long is each side (in m)?
  22. 22.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  23. 23.What is the smallest whole number by which 384 must be multiplied to get a perfect square?
  24. 24.What is √289? =
  25. 25.What is the value of 8⁻³ (as a fraction)? =
  26. 26.What is the difference between the compound interest and the simple interest on ₹47200 at 20% per year for 2 years (in ₹)?
  27. 27.The sum of two consecutive whole numbers is 53. What is the largest of them?
  28. 28.The diagonals of a rhombus are 18 cm and 15 cm. What is its area (in square cm)?
  29. 29.The sum of three consecutive whole numbers is 129. What is the smallest of them?
  30. 30.The sum of two consecutive whole numbers is 111. What is the smallest of them?
  31. 31.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  32. 32.What is the value of 2¹⁰? =
  33. 33.What is the value of 2⁴? =
  34. 34.Use a² − b² = (a + b)(a − b) to find 41² − 35².
  35. 35.What amount will ₹55200 grow to in 2 years at 5% per year compound interest (in ₹)?
  36. 36.What amount will ₹8000 grow to in 1 year at 10% per year compound interest (in ₹)?
  37. 37.Find the compound interest on ₹54700 at 20% per year for 1 year, compounded every year (in ₹).
  38. 38.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  39. 39.If a + b = 17 and ab = 60, what is a² + b²?
  40. 40.A scooter is worth ₹49100. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?

Answer key

  1. 2490
  2. 12
  3. 5041
  4. 55566
  5. 18
  6. 48
  7. 125
  8. 8
  9. 23
  10. 22875
  11. 1024
  12. 6
  13. 8
  14. 49
  15. 343
  16. 104
  17. 3
  18. 1/5
  19. 24
  20. 56
  21. 30
  22. 25
  23. 6
  24. 17
  25. 1/512
  26. 1888
  27. 27
  28. 135
  29. 42
  30. 55
  31. 18
  32. 1024
  33. 16
  34. 456
  35. 60858
  36. 8800
  37. 10940
  38. 4
  39. 169
  40. 41735

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