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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 112 · 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 ₹35500 grow to in 3 years at 20% per year compound interest (in ₹)?
  2. 2.The sum of two consecutive whole numbers is 25. What is the largest of them?
  3. 3.A trapezium has parallel sides of 14 cm and 22 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  4. 4.A cuboid is 10 cm long, 5 cm wide and 3 cm high. What is its total surface area (in square cm)?
  5. 5.Write 9,800 in standard form as 9.8 × 10ⁿ. What is n?
  6. 6.Use a² − b² = (a + b)(a − b) to find 33² − 29².
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.A scooter is worth ₹12000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  9. 9.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  10. 10.What is the smallest whole number by which 45 must be divided to get a perfect square?
  11. 11.7.4 × 10⁴ =
  12. 12.What is 4³? =
  13. 13.Which of these is a perfect square? (a) 784 (b) 826 (c) 830
  14. 14.What is the smallest whole number by which 320 must be multiplied to get a perfect square?
  15. 15.Solve: 4(x − 2) = x + 1. What is x?
  16. 16.Use (a + b)² = a² + 2ab + b² to find 25².
  17. 17.What is the difference between the compound interest and the simple interest on ₹57100 at 10% per year for 2 years (in ₹)?
  18. 18.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  19. 19.Find the value of x² + 2xy + y² when x = 4 and y = 2.
  20. 20.What is √1156? =
  21. 21.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  22. 22.A trapezium has an area of 16 square cm. Its parallel sides are 6 cm and 10 cm. What is the distance between them (in cm)?
  23. 23.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  24. 24.What is 3³? =
  25. 25.How many whole numbers lie between 39² and 40²?
  26. 26.Write 6¹² ÷ 6⁵ as a single power 6ⁿ. What is n?
  27. 27.What is the smallest whole number by which 396 must be divided to get a perfect square?
  28. 28.A trapezium has an area of 37 square cm. Its parallel sides are 13 cm and 24 cm. What is the distance between them (in cm)?
  29. 29.What is √841? =
  30. 30.Find the compound interest on ₹21900 at 20% per year for 2 years, compounded every year (in ₹).
  31. 31.What is √6889? =
  32. 32.Find the value of x² + 2xy + y² when x = 7 and y = 3.
  33. 33.Solve: 9t + 5 = 3t + 53. What is t?
  34. 34.What is 17³? =
  35. 35.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  36. 36.Write 4 × 10⁻² as a decimal. =
  37. 37.Write 9⁵ ÷ 9³ as a single power 9ⁿ. What is n?
  38. 38.What is the value of 5⁴? =
  39. 39.A cuboid is 3 cm long, 7 cm wide and 8 cm high. What is its total surface area (in square cm)?
  40. 40.Which of these is a perfect cube? (a) 656 (b) 512 (c) 674

Answer key

  1. 61344
  2. 13
  3. 360
  4. 190
  5. 3
  6. 248
  7. 8
  8. 8748
  9. 625
  10. 5
  11. 74000
  12. 64
  13. 784
  14. 5
  15. 3
  16. 625
  17. 571
  18. 2
  19. 36
  20. 34
  21. 10
  22. 2
  23. 2
  24. 27
  25. 78
  26. 7
  27. 11
  28. 2
  29. 29
  30. 9636
  31. 83
  32. 100
  33. 8
  34. 4913
  35. 25
  36. 0.04
  37. 2
  38. 625
  39. 202
  40. 512

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