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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 160 · 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.The length of a rectangle is 3 cm more than its width. Its perimeter is 110 cm. What is its width (in cm)?
  2. 2.Use a² − b² = (a + b)(a − b) to find 29² − 6².
  3. 3.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  4. 4.Use (a + b)(a − b) = a² − b² to find 87 × 73.
  5. 5.What is the difference between the compound interest and the simple interest on ₹2500 at 8% per year for 2 years (in ₹)?
  6. 6.A scooter is worth ₹36900. Its value falls by 20% every year. What will it be worth after 1 year (in ₹)?
  7. 7.What is the value of (1/5)⁻²? =
  8. 8.Which of these is a perfect square? (a) 493 (b) 484 (c) 495
  9. 9.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.Solve: 4n + 19 = n + 22. What is n?
  11. 11.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  12. 12.Find the compound interest on ₹57300 at 5% per year for 1 year, compounded every year (in ₹).
  13. 13.Which of these is a perfect cube? (a) 42 (b) 28 (c) 27
  14. 14.A trapezium has parallel sides of 5 cm and 18 cm, and the distance between them is 4 cm. What is its area (in square cm)?
  15. 15.What is √256? =
  16. 16.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  17. 17.Write 2⁹ ÷ 2³ as a single power 2ⁿ. What is n?
  18. 18.What is the value of 10²? =
  19. 19.What is ∛9261? =
  20. 20.Find the compound interest on ₹23700 at 10% per year for 2 years, compounded every year (in ₹).
  21. 21.If a + b = 3 and ab = 2, what is a² + b²?
  22. 22.What amount will ₹44200 grow to in 1 year at 15% per year compound interest (in ₹)?
  23. 23.What is ∛125? =
  24. 24.Use (a − b)² = a² − 2ab + b² to find 54².
  25. 25.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 87².
  27. 27.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
  28. 28.What is 25²? =
  29. 29.The length of a rectangle is 8 cm more than its width. Its perimeter is 76 cm. What is its width (in cm)?
  30. 30.Write 8⁷ × 8⁹ as a single power 8ⁿ. What is n?
  31. 31.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  32. 32.The diagonals of a rhombus are 24 cm and 22 cm. What is its area (in square cm)?
  33. 33.Solve: 7p + 4 = 4p + 31. What is p?
  34. 34.What is the sum of the first 7 odd numbers (1 + 3 + 5 + …)?
  35. 35.The length of a rectangle is 1 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  36. 36.If a + b = 22 and ab = 120, what is a² + b²?
  37. 37.What is 16³? =
  38. 38.What is √1369? =
  39. 39.A trapezium has parallel sides of 11 cm and 2 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  40. 40.Solve: 6(t − 4) = 4t + 22. What is t?

Answer key

  1. 26
  2. 805
  3. 3
  4. 6351
  5. 16
  6. 29520
  7. 25
  8. 484
  9. 64
  10. 1
  11. 7
  12. 2865
  13. 27
  14. 46
  15. 16
  16. 10
  17. 6
  18. 100
  19. 21
  20. 4977
  21. 5
  22. 50830
  23. 5
  24. 2916
  25. 18
  26. 7569
  27. 46305
  28. 625
  29. 15
  30. 16
  31. 294
  32. 264
  33. 9
  34. 49
  35. 23
  36. 244
  37. 4096
  38. 37
  39. 13
  40. 23

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