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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 449 · 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 amount will ₹23100 grow to in 1 year at 4% per year compound interest (in ₹)?
  2. 2.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  3. 3.A square garden has an area of 2116 square m. How long is each side (in m)?
  4. 4.Solve: m/6 + m/2 = 28. What is m?
  5. 5.How many whole numbers lie between 26² and 27²?
  6. 6.A father is 30 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  7. 7.What amount will ₹20100 grow to in 1 year at 25% per year compound interest (in ₹)?
  8. 8.3.6 × 10² =
  9. 9.What is the value of 6⁶? =
  10. 10.Use (a + b)² = a² + 2ab + b² to find 66².
  11. 11.A scooter is worth ₹32000. Its value falls by 5% every year. What will it be worth after 3 years (in ₹)?
  12. 12.The length of a rectangle is 15 cm more than its width. Its perimeter is 58 cm. What is its width (in cm)?
  13. 13.Write 7⁷ × 7⁹ as a single power 7ⁿ. What is n?
  14. 14.How many whole numbers lie between 6² and 7²?
  15. 15.Write 8.2 × 10⁻³ as a decimal. =
  16. 16.Write 2.1 × 10⁻² as a decimal. =
  17. 17.Which of these is a perfect cube? (a) 2904 (b) 2744 (c) 3227
  18. 18.What is the value of (3/8)⁻¹? =
  19. 19.A trapezium has an area of 52 square cm. Its parallel sides are 10 cm and 3 cm. What is the distance between them (in cm)?
  20. 20.A father is 13 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  21. 21.What is √4356? =
  22. 22.Use a² − b² = (a + b)(a − b) to find 60² − 42².
  23. 23.What is 19³? =
  24. 24.Find the compound interest on ₹44500 at 10% per year for 1 year, compounded every year (in ₹).
  25. 25.What is the smallest whole number by which 540 must be divided to get a perfect square?
  26. 26.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is the value of 3³? =
  28. 28.What is 6³? =
  29. 29.Which of these is a perfect cube? (a) 729 (b) 803 (c) 847
  30. 30.Solve: 6(m − 4) = m + 11. What is m?
  31. 31.The diagonals of a rhombus are 28 cm and 6 cm. What is its area (in square cm)?
  32. 32.If a + b = 14 and ab = 40, what is a² + b²?
  33. 33.Which of these is a perfect cube? (a) 521 (b) 512 (c) 529
  34. 34.A father is 15 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  35. 35.Which of these is a perfect cube? (a) 2130 (b) 1809 (c) 1728
  36. 36.A square garden has an area of 729 square m. How long is each side (in m)?
  37. 37.The sum of four consecutive whole numbers is 150. What is the smallest of them?
  38. 38.Solve: 7m + 18 = m + 72. What is m?
  39. 39.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.A cuboid is 6 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?

Answer key

  1. 24024
  2. 6
  3. 46
  4. 42
  5. 52
  6. 3
  7. 25125
  8. 360
  9. 46656
  10. 4356
  11. 27436
  12. 7
  13. 16
  14. 12
  15. 0.0082
  16. 0.021
  17. 2744
  18. 8/3
  19. 8
  20. 8
  21. 66
  22. 1836
  23. 6859
  24. 4450
  25. 15
  26. 64
  27. 27
  28. 216
  29. 729
  30. 7
  31. 84
  32. 116
  33. 512
  34. 7
  35. 1728
  36. 27
  37. 36
  38. 9
  39. 125
  40. 438

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