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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 416 · 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.A town has 36000 people. The population grows by 10% every year. What will the population be after 3 years?
  2. 2.A trapezium has parallel sides of 24 cm and 15 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  3. 3.Which of these is a perfect cube? (a) 80 (b) 64 (c) 104
  4. 4.A trapezium has an area of 148 square cm. Its parallel sides are 11 cm and 26 cm. What is the distance between them (in cm)?
  5. 5.Write 6⁸ ÷ 6⁶ as a single power 6ⁿ. What is n?
  6. 6.Solve: 6(x − 5) = 3x + 36. What is x?
  7. 7.Write 1.3 × 10⁻⁴ as a decimal. =
  8. 8.What amount will ₹2000 grow to in 2 years at 25% per year compound interest (in ₹)?
  9. 9.A cuboid is 6 cm long, 8 cm wide and 6 cm high. What is its total surface area (in square cm)?
  10. 10.What is 17³? =
  11. 11.Use (a − b)² = a² − 2ab + b² to find 51².
  12. 12.What is √729? =
  13. 13.Find the value of x² − 2xy + y² when x = 8 and y = 4.
  14. 14.What is the value of 2⁶ × 2⁻⁴? =
  15. 15.A square garden has an area of 100 square m. How long is each side (in m)?
  16. 16.If a + b = 23 and ab = 132, what is a² + b²?
  17. 17.Find the value of x² − 2xy + y² when x = 6 and y = 2.
  18. 18.What is the value of 10⁶ × 10⁻³? =
  19. 19.2.7 × 10³ =
  20. 20.What is √3025? =
  21. 21.What is the value of 5⁴ × 5⁻²? =
  22. 22.What is the value of 2¹²? =
  23. 23.Write 560 in standard form as 5.6 × 10ⁿ. What is n?
  24. 24.A trapezium has parallel sides of 22 cm and 11 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  25. 25.Solve: 5(n − 5) = 3n + 3. What is n?
  26. 26.A square garden has an area of 2809 square m. How long is each side (in m)?
  27. 27.Use (a + b)(a − b) = a² − b² to find 46 × 34.
  28. 28.Which of these is a perfect cube? (a) 3375 (b) 3513 (c) 3659
  29. 29.What is ∛1728? =
  30. 30.What is √6084? =
  31. 31.4.7 × 10² =
  32. 32.What is 5³? =
  33. 33.What is the smallest whole number by which 27 must be divided to get a perfect square?
  34. 34.Solve: 3n + 4 = 2n + 11. What is n?
  35. 35.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  36. 36.If a + b = 4 and ab = 3, what is a² + b²?
  37. 37.Use (a + b)² = a² + 2ab + b² to find 43².
  38. 38.What is the sum of the first 13 odd numbers (1 + 3 + 5 + …)?
  39. 39.A trapezium has parallel sides of 30 cm and 17 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  40. 40.How many whole numbers lie between 19² and 20²?

Answer key

  1. 47916
  2. 273
  3. 64
  4. 8
  5. 2
  6. 22
  7. 0.00013
  8. 3125
  9. 264
  10. 4913
  11. 2601
  12. 27
  13. 16
  14. 4
  15. 10
  16. 265
  17. 16
  18. 1000
  19. 2700
  20. 55
  21. 25
  22. 4096
  23. 2
  24. 264
  25. 14
  26. 53
  27. 1564
  28. 3375
  29. 12
  30. 78
  31. 470
  32. 125
  33. 3
  34. 7
  35. 3
  36. 10
  37. 1849
  38. 169
  39. 282
  40. 38

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