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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 535 · 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 room is 5 m long, 8 m wide and 3 m high. What is the area of its four walls (in square m)?
  2. 2.Use (a − b)² = a² − 2ab + b² to find 63².
  3. 3.A trapezium has parallel sides of 25 cm and 20 cm, and the distance between them is 16 cm. What is its area (in square cm)?
  4. 4.What is the smallest whole number by which 243 must be multiplied to get a perfect square?
  5. 5.Use a² − b² = (a + b)(a − b) to find 34² − 15².
  6. 6.Solve: 9p + 17 = 8p + 25. What is p?
  7. 7.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 71 (b) 74 (c) 64
  9. 9.What is the value of 7⁻³ (as a fraction)? =
  10. 10.What is 19²? =
  11. 11.What amount will ₹46000 grow to in 3 years at 20% per year compound interest (in ₹)?
  12. 12.Solve: 4p + 14 = 2p + 16. What is p?
  13. 13.What is the smallest whole number by which 360 must be multiplied to get a perfect square?
  14. 14.What is 34²? =
  15. 15.What is the value of 5²? =
  16. 16.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.Solve: y/2 + y/4 = 24. What is y?
  18. 18.What is the sum of the first 28 odd numbers (1 + 3 + 5 + …)?
  19. 19.Write (2²)⁶ as a single power 2ⁿ. What is n?
  20. 20.A town has 9000 people. The population grows by 20% every year. What will the population be after 3 years?
  21. 21.A scooter is worth ₹22000. Its value falls by 15% every year. What will it be worth after 2 years (in ₹)?
  22. 22.Write (5⁹)² as a single power 5ⁿ. What is n?
  23. 23.A square garden has an area of 576 square m. How long is each side (in m)?
  24. 24.What is the value of 3⁶ × 3⁻¹? =
  25. 25.What is the value of 2⁻⁶ (as a fraction)? =
  26. 26.4.3 × 10⁵ =
  27. 27.The length of a rectangle is 6 cm more than its width. Its perimeter is 132 cm. What is its width (in cm)?
  28. 28.A town has 54400 people. The population grows by 25% every year. What will the population be after 3 years?
  29. 29.The sum of two consecutive whole numbers is 29. What is the smallest of them?
  30. 30.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  31. 31.The length of a rectangle is 7 cm more than its width. Its perimeter is 86 cm. What is its width (in cm)?
  32. 32.If a − b = 1 and ab = 20, what is a² + b²?
  33. 33.What is the value of (7/8)⁻²? =
  34. 34.What is the sum of the first 12 odd numbers (1 + 3 + 5 + …)?
  35. 35.Use (a + b)² = a² + 2ab + b² to find 65².
  36. 36.Solve: 4(x − 3) = 3x + 12. What is x?
  37. 37.Write 6⁴ × 6² as a single power 6ⁿ. What is n?
  38. 38.What is ∛6859? =
  39. 39.Find the compound interest on ₹26400 at 25% per year for 2 years, compounded every year (in ₹).
  40. 40.What is √2500? =

Answer key

  1. 78
  2. 3969
  3. 360
  4. 3
  5. 931
  6. 8
  7. 18
  8. 64
  9. 1/343
  10. 361
  11. 79488
  12. 1
  13. 10
  14. 1156
  15. 25
  16. 125
  17. 32
  18. 784
  19. 12
  20. 15552
  21. 15895
  22. 18
  23. 24
  24. 243
  25. 1/64
  26. 430000
  27. 30
  28. 106250
  29. 14
  30. 6
  31. 18
  32. 41
  33. 64/49
  34. 144
  35. 4225
  36. 24
  37. 6
  38. 19
  39. 14850
  40. 50

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