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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 603 · 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 is √1444? =
  2. 2.What is the smallest whole number by which 735 must be divided to get a perfect square?
  3. 3.Use a² − b² = (a + b)(a − b) to find 31² − 15².
  4. 4.Which of these is a perfect square? (a) 222 (b) 207 (c) 196
  5. 5.Find the value of x² − y² when x = 8 and y = 3.
  6. 6.Solve: 7y + 14 = 6y + 19. What is y?
  7. 7.What is the value of 2⁻⁶ (as a fraction)? =
  8. 8.A father is 30 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  9. 9.What is √2500? =
  10. 10.What is 84²? =
  11. 11.A square garden has an area of 1849 square m. How long is each side (in m)?
  12. 12.The sum of four consecutive whole numbers is 162. What is the largest of them?
  13. 13.What is ∛2744? =
  14. 14.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  15. 15.A room is 12 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  16. 16.What is ∛1331? =
  17. 17.What is the smallest whole number by which 810 must be divided to get a perfect square?
  18. 18.A father is 9 years older than his son. In 2 years, the father will be twice as old as his son. How old is the son now?
  19. 19.What amount will ₹33000 grow to in 1 year at 20% per year compound interest (in ₹)?
  20. 20.What is the value of 5⁴ × 5⁻⁵? =
  21. 21.What is 42²? =
  22. 22.What is the sum of the first 18 odd numbers (1 + 3 + 5 + …)?
  23. 23.A scooter is worth ₹28400. Its value falls by 10% every year. What will it be worth after 2 years (in ₹)?
  24. 24.Use (a − b)² = a² − 2ab + b² to find 21².
  25. 25.A trapezium has an area of 500 square cm. Its parallel sides are 26 cm and 24 cm. What is the distance between them (in cm)?
  26. 26.What is the value of (5/8)⁻²? =
  27. 27.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  28. 28.Find the value of x² − y² when x = 6 and y = 5.
  29. 29.What is √4356? =
  30. 30.What is 12³? =
  31. 31.A room is 3 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  32. 32.A father is 26 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  33. 33.What is the smallest whole number by which 52 must be divided to get a perfect square?
  34. 34.A cuboid is 4 cm long, 7 cm wide and 9 cm high. What is its total surface area (in square cm)?
  35. 35.Use (a + b)² = a² + 2ab + b² to find 38².
  36. 36.How many whole numbers lie between 41² and 42²?
  37. 37.A square garden has an area of 256 square m. How long is each side (in m)?
  38. 38.What is ∛15625? =
  39. 39.A trapezium has parallel sides of 14 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  40. 40.What is the value of 10³ × 10⁻⁴? =

Answer key

  1. 38
  2. 15
  3. 736
  4. 196
  5. 55
  6. 5
  7. 1/64
  8. 8
  9. 50
  10. 7056
  11. 43
  12. 42
  13. 14
  14. 7
  15. 102
  16. 11
  17. 10
  18. 7
  19. 39600
  20. 1/5
  21. 1764
  22. 324
  23. 23004
  24. 441
  25. 20
  26. 64/25
  27. 16
  28. 11
  29. 66
  30. 1728
  31. 42
  32. 8
  33. 13
  34. 254
  35. 1444
  36. 82
  37. 16
  38. 25
  39. 51
  40. 1/10

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