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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 296 · 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.Which of these is a perfect square? (a) 400 (b) 436 (c) 407
  2. 2.What is ∛1728? =
  3. 3.What is the value of 3⁶ × 3⁻⁶? =
  4. 4.What is ∛1331? =
  5. 5.What is 13³? =
  6. 6.Write 2¹¹ ÷ 2⁸ as a single power 2ⁿ. What is n?
  7. 7.What is the smallest whole number by which 343 must be divided to get a perfect square?
  8. 8.What is the value of 6⁻³ (as a fraction)? =
  9. 9.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.If a − b = 6 and ab = 72, what is a² + b²?
  11. 11.If a + b = 17 and ab = 70, what is a² + b²?
  12. 12.A father is 42 years older than his son. In 7 years, the father will be four times as old as his son. How old is the son now?
  13. 13.4.8 × 10³ =
  14. 14.Write 8⁴ × 8⁶ as a single power 8ⁿ. What is n?
  15. 15.What is the difference between the compound interest and the simple interest on ₹39200 at 15% per year for 2 years (in ₹)?
  16. 16.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  17. 17.Write 6.5 × 10⁻⁴ as a decimal. =
  18. 18.Use (a − b)² = a² − 2ab + b² to find 27².
  19. 19.Use (a + b)² = a² + 2ab + b² to find 43².
  20. 20.2.4 × 10³ =
  21. 21.Which of these is a perfect cube? (a) 680 (b) 658 (c) 512
  22. 22.A trapezium has an area of 27 square cm. Its parallel sides are 5 cm and 4 cm. What is the distance between them (in cm)?
  23. 23.Write 9⁷ × 9⁸ as a single power 9ⁿ. What is n?
  24. 24.The sum of two consecutive whole numbers is 35. What is the smallest of them?
  25. 25.What is the value of 5⁻⁴ (as a fraction)? =
  26. 26.2.1 × 10³ =
  27. 27.Use a² − b² = (a + b)(a − b) to find 50² − 3².
  28. 28.Which of these is a perfect square? (a) 843 (b) 841 (c) 845
  29. 29.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  30. 30.What is the value of 2¹⁵? =
  31. 31.Write 4.2 × 10⁻⁴ as a decimal. =
  32. 32.What is the value of 2¹ × 2⁻¹? =
  33. 33.A cuboid is 8 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  34. 34.8.5 × 10³ =
  35. 35.What is 2³? =
  36. 36.What is the smallest whole number by which 960 must be divided to get a perfect square?
  37. 37.Find the value of x² + 2xy + y² when x = 13 and y = 2.
  38. 38.What is the value of 5¹ × 5⁻²? =
  39. 39.A town has 52000 people. The population grows by 5% every year. What will the population be after 2 years?
  40. 40.Which of these is a perfect cube? (a) 3494 (b) 3375 (c) 3997

Answer key

  1. 400
  2. 12
  3. 1
  4. 11
  5. 2197
  6. 3
  7. 7
  8. 1/216
  9. 8
  10. 180
  11. 149
  12. 7
  13. 4800
  14. 10
  15. 882
  16. 16
  17. 0.00065
  18. 729
  19. 1849
  20. 2400
  21. 512
  22. 6
  23. 15
  24. 17
  25. 1/625
  26. 2100
  27. 2491
  28. 841
  29. 14
  30. 32768
  31. 0.00042
  32. 1
  33. 72
  34. 8500
  35. 8
  36. 15
  37. 225
  38. 1/5
  39. 57330
  40. 3375

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