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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 410 · 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.Write 82,000 in standard form as 8.2 × 10ⁿ. What is n?
  2. 2.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  3. 3.What is 35²? =
  4. 4.What is the value of 3⁹? =
  5. 5.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  6. 6.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  7. 7.What is the value of 10⁵ × 10⁻³? =
  8. 8.A town has 16000 people. The population grows by 15% every year. What will the population be after 3 years?
  9. 9.A scooter is worth ₹9800. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  10. 10.What is 83²? =
  11. 11.A square garden has an area of 1225 square m. How long is each side (in m)?
  12. 12.The diagonals of a rhombus are 4 cm and 29 cm. What is its area (in square cm)?
  13. 13.The sum of four consecutive whole numbers is 246. What is the largest of them?
  14. 14.Write 4.2 × 10⁻¹ as a decimal. =
  15. 15.What is 51²? =
  16. 16.What amount will ₹27800 grow to in 1 year at 20% per year compound interest (in ₹)?
  17. 17.6.4 × 10⁴ =
  18. 18.Which of these is a perfect square? (a) 344 (b) 350 (c) 324
  19. 19.The length of a rectangle is 5 cm more than its width. Its perimeter is 50 cm. What is its width (in cm)?
  20. 20.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  21. 21.Find the compound interest on ₹11200 at 15% per year for 2 years, compounded every year (in ₹).
  22. 22.What is the value of 10¹ × 10⁻³? =
  23. 23.Solve: 8x + 14 = 3x + 39. What is x?
  24. 24.Solve: 7x + 17 = 6x + 18. What is x?
  25. 25.Solve: t/2 + t/6 = 16. What is t?
  26. 26.How many whole numbers lie between 30² and 31²?
  27. 27.Use (a + b)(a − b) = a² − b² to find 93 × 87.
  28. 28.Write 9.4 × 10⁻² as a decimal. =
  29. 29.Use (a + b)(a − b) = a² − b² to find 48 × 32.
  30. 30.What amount will ₹40800 grow to in 2 years at 10% per year compound interest (in ₹)?
  31. 31.Use a² − b² = (a + b)(a − b) to find 55² − 46².
  32. 32.The sum of two consecutive whole numbers is 53. What is the largest of them?
  33. 33.A trapezium has parallel sides of 15 cm and 23 cm, and the distance between them is 15 cm. What is its area (in square cm)?
  34. 34.What is the sum of the first 8 odd numbers (1 + 3 + 5 + …)?
  35. 35.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  37. 37.The diagonals of a rhombus are 16 cm and 20 cm. What is its area (in square cm)?
  38. 38.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  39. 39.What is the value of 8⁻¹ (as a fraction)? =
  40. 40.What is the sum of the first 19 odd numbers (1 + 3 + 5 + …)?

Answer key

  1. 4
  2. 8
  3. 1225
  4. 19683
  5. 3
  6. 49
  7. 100
  8. 24334
  9. 7840
  10. 6889
  11. 35
  12. 58
  13. 63
  14. 0.42
  15. 2601
  16. 33360
  17. 64000
  18. 324
  19. 10
  20. 25
  21. 3612
  22. 1/100
  23. 5
  24. 1
  25. 24
  26. 60
  27. 8091
  28. 0.094
  29. 1536
  30. 49368
  31. 909
  32. 27
  33. 285
  34. 64
  35. 64
  36. 6
  37. 160
  38. 1350
  39. 1/8
  40. 361

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