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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 193 · 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 is ∛343? =
  2. 2.Solve: 3(m − 1) = 2m + 13. What is m?
  3. 3.What is √8649? =
  4. 4.What is the value of 10⁴ × 10⁻⁴? =
  5. 5.What is the value of 3⁸? =
  6. 6.Write 2,10,000 in standard form as 2.1 × 10ⁿ. What is n?
  7. 7.The sum of four consecutive whole numbers is 246. What is the smallest of them?
  8. 8.Use (a − b)² = a² − 2ab + b² to find 64².
  9. 9.What is √729? =
  10. 10.Find the compound interest on ₹58800 at 20% per year for 1 year, compounded every year (in ₹).
  11. 11.What is the value of 5⁻⁴ (as a fraction)? =
  12. 12.A square garden has an area of 289 square m. How long is each side (in m)?
  13. 13.What is √2500? =
  14. 14.Solve: 5y + 4 = 2y + 10. What is y?
  15. 15.What is the value of (2/5)⁻²? =
  16. 16.What is 46²? =
  17. 17.Solve: m/6 + m/5 = 33. What is m?
  18. 18.What amount will ₹26100 grow to in 1 year at 10% per year compound interest (in ₹)?
  19. 19.Use a² − b² = (a + b)(a − b) to find 26² − 21².
  20. 20.What is the value of 9⁻² (as a fraction)? =
  21. 21.What is the value of (2/3)⁻¹? =
  22. 22.What is the difference between the compound interest and the simple interest on ₹55200 at 25% per year for 2 years (in ₹)?
  23. 23.A trapezium has an area of 208 square cm. Its parallel sides are 28 cm and 24 cm. What is the distance between them (in cm)?
  24. 24.A town has 50000 people. The population grows by 12% every year. What will the population be after 2 years?
  25. 25.If a + b = 9 and ab = 20, what is a² + b²?
  26. 26.Use (a + b)(a − b) = a² − b² to find 29 × 11.
  27. 27.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.Solve: y/3 + y/4 = 35. What is y?
  30. 30.Write 3 × 10⁻² as a decimal. =
  31. 31.What is the smallest whole number by which 224 must be multiplied to get a perfect square?
  32. 32.What is 36²? =
  33. 33.What is 70²? =
  34. 34.Use a² − b² = (a + b)(a − b) to find 64² − 61².
  35. 35.What is the value of 5¹ × 5⁻⁶? =
  36. 36.What amount will ₹32000 grow to in 3 years at 10% per year compound interest (in ₹)?
  37. 37.Which of these is a perfect square? (a) 1369 (b) 1435 (c) 1429
  38. 38.If a + b = 12 and ab = 32, what is a² + b²?
  39. 39.If a + b = 3 and ab = 2, what is a² + b²?
  40. 40.The diagonals of a rhombus are 18 cm and 3 cm. What is its area (in square cm)?

Answer key

  1. 7
  2. 16
  3. 93
  4. 1
  5. 6561
  6. 5
  7. 60
  8. 4096
  9. 27
  10. 11760
  11. 1/625
  12. 17
  13. 50
  14. 2
  15. 25/4
  16. 2116
  17. 90
  18. 28710
  19. 235
  20. 1/81
  21. 3/2
  22. 3450
  23. 8
  24. 62720
  25. 41
  26. 319
  27. 15
  28. 216
  29. 60
  30. 0.03
  31. 14
  32. 1296
  33. 4900
  34. 375
  35. 1/3125
  36. 42592
  37. 1369
  38. 80
  39. 5
  40. 27

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