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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 56 · 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.A room is 4 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.A trapezium has parallel sides of 30 cm and 21 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  3. 3.How many whole numbers lie between 13² and 14²?
  4. 4.What is the value of 5²? =
  5. 5.Use (a − b)² = a² − 2ab + b² to find 21².
  6. 6.A cuboid is 15 cm long, 9 cm wide and 8 cm high. What is its total surface area (in square cm)?
  7. 7.Which of these is a perfect cube? (a) 52 (b) 27 (c) 33
  8. 8.A square garden has an area of 2601 square m. How long is each side (in m)?
  9. 9.Write 8.5 × 10⁻⁴ as a decimal. =
  10. 10.How many whole numbers lie between 23² and 24²?
  11. 11.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.Solve: x/4 + x/6 = 20. What is x?
  13. 13.A square garden has an area of 1521 square m. How long is each side (in m)?
  14. 14.If a + b = 15 and ab = 56, what is a² + b²?
  15. 15.Use a² − b² = (a + b)(a − b) to find 87² − 41².
  16. 16.A cuboid is 12 cm long, 9 cm wide and 10 cm high. What is its total surface area (in square cm)?
  17. 17.What is the difference between the compound interest and the simple interest on ₹14400 at 5% per year for 2 years (in ₹)?
  18. 18.A trapezium has an area of 440 square cm. Its parallel sides are 15 cm and 29 cm. What is the distance between them (in cm)?
  19. 19.A room is 3 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  20. 20.Find the value of x² − 2xy + y² when x = 11 and y = 4.
  21. 21.A scooter is worth ₹33100. Its value falls by 4% every year. What will it be worth after 1 year (in ₹)?
  22. 22.What is the value of 2¹²? =
  23. 23.Solve: 4y + 3 = 2y + 5. What is y?
  24. 24.If a − b = 4 and ab = 21, what is a² + b²?
  25. 25.What is the value of 2² × 2⁻⁵? =
  26. 26.Use (a − b)² = a² − 2ab + b² to find 22².
  27. 27.Solve: n/5 + n/2 = 7. What is n?
  28. 28.Solve: 5(y − 2) = y + 46. What is y?
  29. 29.What is 36²? =
  30. 30.What is the value of 6⁵? =
  31. 31.What is ∛5832? =
  32. 32.A trapezium has an area of 66 square cm. Its parallel sides are 7 cm and 5 cm. What is the distance between them (in cm)?
  33. 33.Solve: p/2 + p/4 = 6. What is p?
  34. 34.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.What is the smallest whole number by which 175 must be multiplied to get a perfect square?
  36. 36.Find the compound interest on ₹2500 at 4% per year for 2 years, compounded every year (in ₹).
  37. 37.A cuboid is 15 cm long, 9 cm wide and 4 cm high. What is its total surface area (in square cm)?
  38. 38.Write 69,00,000 in standard form as 6.9 × 10ⁿ. What is n?
  39. 39.What amount will ₹48800 grow to in 2 years at 10% per year compound interest (in ₹)?
  40. 40.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)?

Answer key

  1. 48
  2. 357
  3. 26
  4. 25
  5. 441
  6. 654
  7. 27
  8. 51
  9. 0.00085
  10. 46
  11. 125
  12. 48
  13. 39
  14. 113
  15. 5888
  16. 636
  17. 36
  18. 20
  19. 100
  20. 49
  21. 31776
  22. 4096
  23. 1
  24. 58
  25. 1/8
  26. 484
  27. 10
  28. 14
  29. 1296
  30. 7776
  31. 18
  32. 11
  33. 8
  34. 216
  35. 7
  36. 204
  37. 462
  38. 6
  39. 59048
  40. 81

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