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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 172 · 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.Solve: 7x + 6 = 3x + 34. What is x?
  2. 2.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  3. 3.The diagonals of a rhombus are 24 cm and 15 cm. What is its area (in square cm)?
  4. 4.Use (a + b)(a − b) = a² − b² to find 54 × 46.
  5. 5.What is the sum of the first 29 odd numbers (1 + 3 + 5 + …)?
  6. 6.A square garden has an area of 2401 square m. How long is each side (in m)?
  7. 7.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  8. 8.A trapezium has an area of 310 square cm. Its parallel sides are 23 cm and 8 cm. What is the distance between them (in cm)?
  9. 9.A room is 3 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  10. 10.What is √3481? =
  11. 11.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  12. 12.A scooter is worth ₹7500. Its value falls by 8% every year. What will it be worth after 2 years (in ₹)?
  13. 13.Write (6⁷)⁸ as a single power 6ⁿ. What is n?
  14. 14.Write (5⁹)² as a single power 5ⁿ. What is n?
  15. 15.What is ∛5832? =
  16. 16.What is the difference between the compound interest and the simple interest on ₹50400 at 15% per year for 2 years (in ₹)?
  17. 17.Write 96,000 in standard form as 9.6 × 10ⁿ. What is n?
  18. 18.Write 91,000 in standard form as 9.1 × 10ⁿ. What is n?
  19. 19.What is ∛64? =
  20. 20.Solve: y/2 + y/3 = 10. What is y?
  21. 21.What is the value of 5⁻¹ (as a fraction)? =
  22. 22.Use (a − b)² = a² − 2ab + b² to find 13².
  23. 23.What is the difference between the compound interest and the simple interest on ₹14800 at 5% per year for 2 years (in ₹)?
  24. 24.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is 6³? =
  26. 26.What is the value of 2⁻⁵ (as a fraction)? =
  27. 27.Which of these is a perfect square? (a) 100 (b) 118 (c) 104
  28. 28.What is the value of 10⁻² (as a fraction)? =
  29. 29.Find the compound interest on ₹56400 at 8% per year for 1 year, compounded every year (in ₹).
  30. 30.How many whole numbers lie between 32² and 33²?
  31. 31.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  33. 33.What is 95²? =
  34. 34.What is √484? =
  35. 35.What is the value of 10⁴? =
  36. 36.Use (a + b)(a − b) = a² − b² to find 82 × 78.
  37. 37.If a + b = 7 and ab = 12, what is a² + b²?
  38. 38.Use a² − b² = (a + b)(a − b) to find 67² − 18².
  39. 39.Write 4⁹ × 4⁶ as a single power 4ⁿ. What is n?
  40. 40.What is the value of (1/6)⁻¹? =

Answer key

  1. 7
  2. 3
  3. 180
  4. 2484
  5. 841
  6. 49
  7. 20
  8. 20
  9. 60
  10. 59
  11. 25
  12. 6348
  13. 56
  14. 18
  15. 18
  16. 1134
  17. 4
  18. 4
  19. 4
  20. 12
  21. 1/5
  22. 169
  23. 37
  24. 8
  25. 216
  26. 1/32
  27. 100
  28. 1/100
  29. 4512
  30. 64
  31. 64
  32. 5
  33. 9025
  34. 22
  35. 10000
  36. 6396
  37. 25
  38. 4165
  39. 15
  40. 6

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