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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 287 · 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.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  2. 2.Find the value of x² − y² when x = 7 and y = 5.
  3. 3.What is √784? =
  4. 4.A town has 33600 people. The population grows by 20% every year. What will the population be after 2 years?
  5. 5.What is the value of 2⁶ × 2⁻⁶? =
  6. 6.A room is 5 m long, 3 m wide and 4 m high. What is the area of its four walls (in square m)?
  7. 7.What is the value of (5/8)⁻¹? =
  8. 8.What is 33²? =
  9. 9.Solve: 6p + 14 = 5p + 23. What is p?
  10. 10.How many whole numbers lie between 37² and 38²?
  11. 11.A town has 19900 people. The population grows by 8% every year. What will the population be after 1 year?
  12. 12.Solve: 6t + 15 = 4t + 25. What is t?
  13. 13.What is the value of 3⁵ × 3⁻²? =
  14. 14.Which of these is a perfect square? (a) 1623 (b) 1630 (c) 1600
  15. 15.What is the value of 2³ × 2⁻⁶? =
  16. 16.What is 67²? =
  17. 17.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  18. 18.The total surface area of a cube is 1014 square cm. How long is each edge (in cm)?
  19. 19.A town has 55600 people. The population grows by 5% every year. What will the population be after 2 years?
  20. 20.A scooter is worth ₹5700. Its value falls by 12% every year. What will it be worth after 1 year (in ₹)?
  21. 21.What amount will ₹59200 grow to in 3 years at 25% per year compound interest (in ₹)?
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.Find the compound interest on ₹2900 at 12% per year for 1 year, compounded every year (in ₹).
  24. 24.Solve: 4x + 16 = 2x + 20. What is x?
  25. 25.Use (a + b)(a − b) = a² − b² to find 52 × 48.
  26. 26.Use (a + b)² = a² + 2ab + b² to find 93².
  27. 27.What is √324? =
  28. 28.Which of these is a perfect square? (a) 935 (b) 912 (c) 900
  29. 29.Which of these is a perfect cube? (a) 609 (b) 512 (c) 522
  30. 30.What is the value of (4/5)⁻¹? =
  31. 31.Solve: t/5 + t/2 = 21. What is t?
  32. 32.Write 4.7 × 10⁻² as a decimal. =
  33. 33.A square garden has an area of 1156 square m. How long is each side (in m)?
  34. 34.If a − b = 8 and ab = 9, what is a² + b²?
  35. 35.Solve: 9p + 14 = p + 134. What is p?
  36. 36.2.4 × 10⁷ =
  37. 37.If a − b = 2 and ab = 8, what is a² + b²?
  38. 38.What is the smallest whole number by which 96 must be divided to get a perfect square?
  39. 39.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  40. 40.What is the value of (1/9)⁻¹? =

Answer key

  1. 3
  2. 24
  3. 28
  4. 48384
  5. 1
  6. 64
  7. 8/5
  8. 1089
  9. 9
  10. 74
  11. 21492
  12. 5
  13. 27
  14. 1600
  15. 1/8
  16. 4489
  17. 49
  18. 13
  19. 61299
  20. 5016
  21. 115625
  22. 8
  23. 348
  24. 2
  25. 2496
  26. 8649
  27. 18
  28. 900
  29. 512
  30. 5/4
  31. 30
  32. 0.047
  33. 34
  34. 82
  35. 15
  36. 24000000
  37. 20
  38. 6
  39. 2
  40. 9

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