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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 396 · 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 amount will ₹2800 grow to in 1 year at 12% per year compound interest (in ₹)?
  2. 2.Use (a + b)(a − b) = a² − b² to find 61 × 59.
  3. 3.A room is 4 m long, 5 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  5. 5.Write 70,00,000 in standard form as 7 × 10ⁿ. What is n?
  6. 6.What is the smallest whole number by which 1134 must be divided to get a perfect square?
  7. 7.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  8. 8.Write 6.5 × 10⁻² as a decimal. =
  9. 9.Find the value of x² − y² when x = 6 and y = 3.
  10. 10.Solve: 9n + 16 = n + 72. What is n?
  11. 11.If a − b = 2 and ab = 48, what is a² + b²?
  12. 12.Find the compound interest on ₹50000 at 10% per year for 3 years, compounded every year (in ₹).
  13. 13.Which of these is a perfect square? (a) 784 (b) 800 (c) 808
  14. 14.A father is 10 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  15. 15.Use (a − b)² = a² − 2ab + b² to find 47².
  16. 16.The total surface area of a cube is 486 square cm. How long is each edge (in cm)?
  17. 17.The diagonals of a rhombus are 18 cm and 29 cm. What is its area (in square cm)?
  18. 18.Use (a + b)(a − b) = a² − b² to find 101 × 99.
  19. 19.A cuboid is 11 cm long, 5 cm wide and 8 cm high. What is its total surface area (in square cm)?
  20. 20.Write 8 × 10⁻⁴ as a decimal. =
  21. 21.What is √1089? =
  22. 22.2.7 × 10⁵ =
  23. 23.A town has 44800 people. The population grows by 5% every year. What will the population be after 2 years?
  24. 24.A trapezium has parallel sides of 15 cm and 25 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  25. 25.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  26. 26.What is 6³? =
  27. 27.A father is 11 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  28. 28.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  29. 29.Each edge of a cube is 2 cm. What is its total surface area (in square cm)?
  30. 30.A trapezium has an area of 350 square cm. Its parallel sides are 13 cm and 22 cm. What is the distance between them (in cm)?
  31. 31.Find the compound interest on ₹42700 at 15% per year for 1 year, compounded every year (in ₹).
  32. 32.What is the smallest whole number by which 405 must be multiplied to get a perfect square?
  33. 33.What is ∛4096? =
  34. 34.Solve: 3(x − 5) = x + 3. What is x?
  35. 35.The sum of two consecutive whole numbers is 35. What is the largest of them?
  36. 36.6.2 × 10⁵ =
  37. 37.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  38. 38.Solve: 4(y − 2) = 3y + 10. What is y?
  39. 39.Use (a + b)² = a² + 2ab + b² to find 15².
  40. 40.Use a² − b² = (a + b)(a − b) to find 32² − 20².

Answer key

  1. 3136
  2. 3599
  3. 72
  4. 5
  5. 6
  6. 14
  7. 1350
  8. 0.065
  9. 27
  10. 7
  11. 100
  12. 16550
  13. 784
  14. 5
  15. 2209
  16. 9
  17. 261
  18. 9999
  19. 366
  20. 0.0008
  21. 33
  22. 270000
  23. 49392
  24. 160
  25. 14
  26. 216
  27. 3
  28. 16
  29. 24
  30. 20
  31. 6405
  32. 5
  33. 16
  34. 9
  35. 18
  36. 620000
  37. 11
  38. 18
  39. 225
  40. 624

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