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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 20 · 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 64²? =
  2. 2.What is the difference between the compound interest and the simple interest on ₹57600 at 25% per year for 2 years (in ₹)?
  3. 3.A room is 6 m long, 6 m wide and 4 m high. What is the area of its four walls (in square m)?
  4. 4.What is the value of (3/4)⁻²? =
  5. 5.Write 2,70,000 in standard form as 2.7 × 10ⁿ. What is n?
  6. 6.Use (a + b)² = a² + 2ab + b² to find 14².
  7. 7.A father is 10 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  8. 8.What is 12³? =
  9. 9.Write 3⁷ × 3⁷ as a single power 3ⁿ. What is n?
  10. 10.Use (a − b)² = a² − 2ab + b² to find 89².
  11. 11.A room is 7 m long, 8 m wide and 4 m high. What is the area of its four walls (in square m)?
  12. 12.Solve: y/4 + y/3 = 35. What is y?
  13. 13.Find the compound interest on ₹29100 at 15% per year for 1 year, compounded every year (in ₹).
  14. 14.Use (a − b)² = a² − 2ab + b² to find 26².
  15. 15.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  16. 16.1.2 × 10² =
  17. 17.Solve: m/5 + m/2 = 7. What is m?
  18. 18.A trapezium has parallel sides of 16 cm and 4 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  19. 19.Solve: 3(x − 4) = x + 14. What is x?
  20. 20.Use (a + b)² = a² + 2ab + b² to find 37².
  21. 21.Which of these is a perfect cube? (a) 27 (b) 47 (c) 51
  22. 22.What is the value of (8/9)⁻¹? =
  23. 23.What is ∛343? =
  24. 24.Solve: 4p + 14 = 2p + 36. What is p?
  25. 25.Write 3.6 × 10⁻¹ as a decimal. =
  26. 26.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  27. 27.Use a² − b² = (a + b)(a − b) to find 23² − 10².
  28. 28.What is the value of 5⁶ × 5⁻³? =
  29. 29.What amount will ₹2300 grow to in 1 year at 15% per year compound interest (in ₹)?
  30. 30.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  32. 32.What amount will ₹25000 grow to in 2 years at 8% per year compound interest (in ₹)?
  33. 33.The length of a rectangle is 1 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  34. 34.Solve: 8x + 12 = 4x + 32. What is x?
  35. 35.What is the value of 10⁴ × 10⁻³? =
  36. 36.A trapezium has parallel sides of 13 cm and 25 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  37. 37.Find the compound interest on ₹10200 at 8% per year for 1 year, compounded every year (in ₹).
  38. 38.Find the compound interest on ₹33000 at 20% per year for 2 years, compounded every year (in ₹).
  39. 39.What amount will ₹40000 grow to in 3 years at 5% per year compound interest (in ₹)?
  40. 40.If a − b = 9 and ab = 36, what is a² + b²?

Answer key

  1. 4096
  2. 3600
  3. 96
  4. 16/9
  5. 5
  6. 196
  7. 7
  8. 1728
  9. 14
  10. 7921
  11. 120
  12. 60
  13. 4365
  14. 676
  15. 7
  16. 120
  17. 10
  18. 80
  19. 13
  20. 1369
  21. 27
  22. 9/8
  23. 7
  24. 11
  25. 0.36
  26. 2400
  27. 429
  28. 125
  29. 2645
  30. 8
  31. 7
  32. 29160
  33. 25
  34. 5
  35. 10
  36. 171
  37. 816
  38. 14520
  39. 46305
  40. 153

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