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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 899 · 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 ₹42400 grow to in 2 years at 25% per year compound interest (in ₹)?
  2. 2.What amount will ₹7200 grow to in 1 year at 15% per year compound interest (in ₹)?
  3. 3.What amount will ₹40500 grow to in 2 years at 20% per year compound interest (in ₹)?
  4. 4.What is the smallest whole number by which 960 must be multiplied to get a perfect square?
  5. 5.How many whole numbers lie between 48² and 49²?
  6. 6.What is √144? =
  7. 7.A trapezium has parallel sides of 19 cm and 9 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  8. 8.How many whole numbers lie between 42² and 43²?
  9. 9.What amount will ₹59300 grow to in 1 year at 5% per year compound interest (in ₹)?
  10. 10.Use (a + b)² = a² + 2ab + b² to find 91².
  11. 11.A square garden has an area of 81 square m. How long is each side (in m)?
  12. 12.A town has 47800 people. The population grows by 25% every year. What will the population be after 1 year?
  13. 13.What is the value of 3²? =
  14. 14.A trapezium has an area of 153 square cm. Its parallel sides are 6 cm and 12 cm. What is the distance between them (in cm)?
  15. 15.Use (a − b)² = a² − 2ab + b² to find 47².
  16. 16.The sum of four consecutive whole numbers is 214. What is the largest of them?
  17. 17.If a + b = 12 and ab = 27, what is a² + b²?
  18. 18.What is 30²? =
  19. 19.What is the value of 6⁵? =
  20. 20.Write 5⁸ × 5⁵ as a single power 5ⁿ. What is n?
  21. 21.Solve: t/2 + t/4 = 21. What is t?
  22. 22.What is the value of (3/5)⁻²? =
  23. 23.The sum of three consecutive whole numbers is 120. What is the smallest of them?
  24. 24.Which of these is a perfect cube? (a) 3236 (b) 3314 (c) 2744
  25. 25.Use (a + b)(a − b) = a² − b² to find 108 × 92.
  26. 26.Find the compound interest on ₹24100 at 4% per year for 1 year, compounded every year (in ₹).
  27. 27.If a + b = 4 and ab = 3, what is a² + b²?
  28. 28.The diagonals of a rhombus are 10 cm and 10 cm. What is its area (in square cm)?
  29. 29.What is the value of 4⁷? =
  30. 30.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  31. 31.The length of a rectangle is 13 cm more than its width. Its perimeter is 38 cm. What is its width (in cm)?
  32. 32.What is 16³? =
  33. 33.What is the value of 3¹ × 3⁻²? =
  34. 34.A scooter is worth ₹27200. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  35. 35.Use (a − b)² = a² − 2ab + b² to find 31².
  36. 36.A square garden has an area of 729 square m. How long is each side (in m)?
  37. 37.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  39. 39.The sum of four consecutive whole numbers is 202. What is the smallest of them?
  40. 40.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?

Answer key

  1. 66250
  2. 8280
  3. 58320
  4. 15
  5. 96
  6. 12
  7. 154
  8. 84
  9. 62265
  10. 8281
  11. 9
  12. 59750
  13. 9
  14. 17
  15. 2209
  16. 55
  17. 90
  18. 900
  19. 7776
  20. 13
  21. 28
  22. 25/9
  23. 39
  24. 2744
  25. 9936
  26. 964
  27. 10
  28. 50
  29. 16384
  30. 7
  31. 3
  32. 4096
  33. 1/3
  34. 23936
  35. 961
  36. 27
  37. 17
  38. 25
  39. 49
  40. 841

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