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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 665 · 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: 4p + 9 = p + 54. What is p?
  2. 2.If a − b = 7 and ab = 30, what is a² + b²?
  3. 3.Solve: 4m + 7 = m + 31. What is m?
  4. 4.What is the value of 6⁻² (as a fraction)? =
  5. 5.What is the smallest whole number by which 250 must be multiplied to get a perfect square?
  6. 6.How many whole numbers lie between 47² and 48²?
  7. 7.Solve: 8m + 17 = 2m + 59. What is m?
  8. 8.What is the value of 5³ × 5⁻³? =
  9. 9.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  10. 10.What amount will ₹12400 grow to in 2 years at 20% per year compound interest (in ₹)?
  11. 11.A cuboid is 6 cm long, 2 cm wide and 7 cm high. What is its total surface area (in square cm)?
  12. 12.Solve: 7x + 10 = 6x + 22. What is x?
  13. 13.What is 91²? =
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.What is 6³? =
  16. 16.Write 8¹³ ÷ 8⁶ as a single power 8ⁿ. What is n?
  17. 17.Find the compound interest on ₹33100 at 10% per year for 2 years, compounded every year (in ₹).
  18. 18.Use (a + b)² = a² + 2ab + b² to find 46².
  19. 19.A cuboid is 4 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  20. 20.What amount will ₹10700 grow to in 2 years at 20% per year compound interest (in ₹)?
  21. 21.What amount will ₹8200 grow to in 1 year at 20% per year compound interest (in ₹)?
  22. 22.The sum of two consecutive whole numbers is 79. What is the smallest of them?
  23. 23.Write 4,30,000 in standard form as 4.3 × 10ⁿ. What is n?
  24. 24.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  25. 25.If a − b = 1 and ab = 2, what is a² + b²?
  26. 26.A room is 11 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  27. 27.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  28. 28.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  29. 29.Use a² − b² = (a + b)(a − b) to find 74² − 9².
  30. 30.What is √361? =
  31. 31.A town has 50000 people. The population grows by 25% every year. What will the population be after 1 year?
  32. 32.What is the smallest whole number by which 735 must be multiplied to get a perfect square?
  33. 33.What amount will ₹35000 grow to in 2 years at 8% per year compound interest (in ₹)?
  34. 34.What is the value of 5³ × 5⁻¹? =
  35. 35.If a + b = 19 and ab = 88, what is a² + b²?
  36. 36.A scooter is worth ₹30000. Its value falls by 12% every year. What will it be worth after 2 years (in ₹)?
  37. 37.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  38. 38.Write 5 × 10⁻¹ as a decimal. =
  39. 39.A cuboid is 4 cm long, 4 cm wide and 10 cm high. What is its total surface area (in square cm)?
  40. 40.Solve: 5x + 19 = 3x + 41. What is x?

Answer key

  1. 15
  2. 109
  3. 8
  4. 1/36
  5. 10
  6. 94
  7. 7
  8. 1
  9. 1014
  10. 17856
  11. 136
  12. 12
  13. 8281
  14. 64
  15. 216
  16. 7
  17. 6951
  18. 2116
  19. 124
  20. 15408
  21. 9840
  22. 39
  23. 5
  24. 20
  25. 5
  26. 120
  27. 9
  28. 1944
  29. 5395
  30. 19
  31. 62500
  32. 15
  33. 40824
  34. 25
  35. 185
  36. 23232
  37. 784
  38. 0.5
  39. 192
  40. 11

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