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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 944 · 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.The sum of two consecutive whole numbers is 71. What is the smallest of them?
  2. 2.Find the compound interest on ₹16200 at 10% per year for 2 years, compounded every year (in ₹).
  3. 3.What amount will ₹9600 grow to in 1 year at 5% per year compound interest (in ₹)?
  4. 4.Use (a + b)(a − b) = a² − b² to find 33 × 27.
  5. 5.The sum of two consecutive whole numbers is 71. What is the largest of them?
  6. 6.What is 52²? =
  7. 7.A square garden has an area of 841 square m. How long is each side (in m)?
  8. 8.Solve: 3(t − 3) = 2t + 1. What is t?
  9. 9.What is 15³? =
  10. 10.Which of these is a perfect cube? (a) 2201 (b) 2322 (c) 2197
  11. 11.A trapezium has an area of 39 square cm. Its parallel sides are 30 cm and 9 cm. What is the distance between them (in cm)?
  12. 12.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  13. 13.Which of these is a perfect cube? (a) 1080 (b) 1137 (c) 1000
  14. 14.Use (a + b)² = a² + 2ab + b² to find 28².
  15. 15.What is the smallest whole number by which 20 must be divided to get a perfect square?
  16. 16.What is 68²? =
  17. 17.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  19. 19.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  20. 20.What is ∛13824? =
  21. 21.A town has 7200 people. The population grows by 5% every year. What will the population be after 2 years?
  22. 22.What is √8281? =
  23. 23.What amount will ₹2000 grow to in 1 year at 8% per year compound interest (in ₹)?
  24. 24.What is 31²? =
  25. 25.The sum of four consecutive whole numbers is 102. What is the largest of them?
  26. 26.Find the compound interest on ₹5000 at 4% per year for 2 years, compounded every year (in ₹).
  27. 27.A father is 14 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  28. 28.What is the difference between the compound interest and the simple interest on ₹15200 at 25% per year for 2 years (in ₹)?
  29. 29.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.What is the value of 2³ × 2⁻⁴? =
  31. 31.A scooter is worth ₹60000. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  32. 32.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  33. 33.Solve: 6x + 15 = 5x + 19. What is x?
  34. 34.What is 11³? =
  35. 35.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  36. 36.What is the value of 2⁴ × 2⁻⁶? =
  37. 37.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 891 must be multiplied to get a perfect square?
  39. 39.What is the value of 10⁻³ (as a fraction)? =
  40. 40.Which of these is a perfect cube? (a) 104 (b) 106 (c) 64

Answer key

  1. 35
  2. 3402
  3. 10080
  4. 891
  5. 36
  6. 2704
  7. 29
  8. 10
  9. 3375
  10. 2197
  11. 2
  12. 1176
  13. 1000
  14. 784
  15. 5
  16. 4624
  17. 216
  18. 5
  19. 625
  20. 24
  21. 7938
  22. 91
  23. 2160
  24. 961
  25. 27
  26. 408
  27. 8
  28. 950
  29. 125
  30. 1/2
  31. 50784
  32. 54
  33. 4
  34. 1331
  35. 8
  36. 1/4
  37. 12
  38. 11
  39. 1/1000
  40. 64

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