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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 328 · 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 length of a rectangle is 5 cm more than its width. Its perimeter is 82 cm. What is its width (in cm)?
  2. 2.Which of these is a perfect square? (a) 121 (b) 125 (c) 132
  3. 3.What is the smallest whole number by which 24 must be divided to get a perfect square?
  4. 4.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)?
  5. 5.What is 18³? =
  6. 6.How many whole numbers lie between 9² and 10²?
  7. 7.Write (7³)⁷ as a single power 7ⁿ. What is n?
  8. 8.A town has 25000 people. The population grows by 20% every year. What will the population be after 1 year?
  9. 9.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  10. 10.A square garden has an area of 49 square m. How long is each side (in m)?
  11. 11.What is the value of 5⁷? =
  12. 12.7.2 × 10³ =
  13. 13.Write 4¹⁴ ÷ 4⁶ as a single power 4ⁿ. What is n?
  14. 14.What is √900? =
  15. 15.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  16. 16.If a + b = 10 and ab = 24, what is a² + b²?
  17. 17.What is the difference between the compound interest and the simple interest on ₹15000 at 4% per year for 2 years (in ₹)?
  18. 18.What is the smallest whole number by which 891 must be divided to get a perfect square?
  19. 19.The sum of four consecutive whole numbers is 78. What is the largest of them?
  20. 20.Use (a + b)² = a² + 2ab + b² to find 82².
  21. 21.What is the value of 7²? =
  22. 22.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  23. 23.Solve: 5y + 12 = 3y + 24. What is y?
  24. 24.Use (a − b)² = a² − 2ab + b² to find 82².
  25. 25.Write 3.4 × 10⁻¹ as a decimal. =
  26. 26.Write (4⁹)⁴ as a single power 4ⁿ. What is n?
  27. 27.What is 19²? =
  28. 28.Find the compound interest on ₹43600 at 8% per year for 1 year, compounded every year (in ₹).
  29. 29.What is the value of (4/9)⁻¹? =
  30. 30.A trapezium has an area of 35 square cm. Its parallel sides are 11 cm and 24 cm. What is the distance between them (in cm)?
  31. 31.If a + b = 3 and ab = 2, what is a² + b²?
  32. 32.What is 22²? =
  33. 33.A scooter is worth ₹50000. Its value falls by 10% every year. What will it be worth after 3 years (in ₹)?
  34. 34.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  35. 35.What is the value of 3² × 3⁻³? =
  36. 36.A square garden has an area of 1764 square m. How long is each side (in m)?
  37. 37.What is 14³? =
  38. 38.What is the value of 4³? =
  39. 39.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.Write (5⁴)⁸ as a single power 5ⁿ. What is n?

Answer key

  1. 18
  2. 121
  3. 6
  4. 729
  5. 5832
  6. 18
  7. 21
  8. 30000
  9. 7
  10. 7
  11. 78125
  12. 7200
  13. 8
  14. 30
  15. 4
  16. 52
  17. 24
  18. 11
  19. 21
  20. 6724
  21. 49
  22. 11
  23. 6
  24. 6724
  25. 0.34
  26. 36
  27. 361
  28. 3488
  29. 9/4
  30. 2
  31. 5
  32. 484
  33. 36450
  34. 5
  35. 1/3
  36. 42
  37. 2744
  38. 64
  39. 216
  40. 32

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