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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 372 · 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 difference between the compound interest and the simple interest on ₹58800 at 25% per year for 2 years (in ₹)?
  2. 2.What is the value of (1/5)⁻¹? =
  3. 3.Use (a + b)² = a² + 2ab + b² to find 79².
  4. 4.A father is 30 years older than his son. In 3 years, the father will be four times as old as his son. How old is the son now?
  5. 5.A trapezium has an area of 240 square cm. Its parallel sides are 28 cm and 20 cm. What is the distance between them (in cm)?
  6. 6.A square garden has an area of 2601 square m. How long is each side (in m)?
  7. 7.Write 5⁴ × 5⁷ as a single power 5ⁿ. What is n?
  8. 8.What amount will ₹34100 grow to in 1 year at 10% per year compound interest (in ₹)?
  9. 9.What is the smallest whole number by which 384 must be multiplied to get a perfect square?
  10. 10.What is ∛729? =
  11. 11.What is the value of 2⁵ × 2⁻²? =
  12. 12.A trapezium has parallel sides of 29 cm and 18 cm, and the distance between them is 18 cm. What is its area (in square cm)?
  13. 13.What is the value of 4²? =
  14. 14.What is the value of 10⁵? =
  15. 15.A trapezium has an area of 285 square cm. Its parallel sides are 20 cm and 18 cm. What is the distance between them (in cm)?
  16. 16.The sum of three consecutive whole numbers is 153. What is the smallest of them?
  17. 17.What is the difference between the compound interest and the simple interest on ₹49200 at 25% per year for 2 years (in ₹)?
  18. 18.Find the compound interest on ₹19600 at 20% per year for 2 years, compounded every year (in ₹).
  19. 19.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  20. 20.How many whole numbers lie between 20² and 21²?
  21. 21.What is the value of 2⁻⁷ (as a fraction)? =
  22. 22.What is 5³? =
  23. 23.Write 5.4 × 10⁻⁴ as a decimal. =
  24. 24.What is the value of 2⁻⁴ (as a fraction)? =
  25. 25.If a + b = 17 and ab = 72, what is a² + b²?
  26. 26.What is the difference between the compound interest and the simple interest on ₹15000 at 12% per year for 2 years (in ₹)?
  27. 27.What is the value of 2⁴ × 2⁻⁵? =
  28. 28.Solve: 4(t − 1) = t + 17. What is t?
  29. 29.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  30. 30.The sum of three consecutive whole numbers is 87. What is the largest of them?
  31. 31.Use a² − b² = (a + b)(a − b) to find 27² − 15².
  32. 32.A cuboid is 6 cm long, 6 cm wide and 9 cm high. What is its total surface area (in square cm)?
  33. 33.What is 55²? =
  34. 34.What is the difference between the compound interest and the simple interest on ₹14600 at 10% per year for 2 years (in ₹)?
  35. 35.A room is 9 m long, 5 m wide and 5 m high. What is the area of its four walls (in square m)?
  36. 36.What is the difference between the compound interest and the simple interest on ₹56800 at 10% per year for 2 years (in ₹)?
  37. 37.What is the value of 2⁴ × 2⁻⁴? =
  38. 38.Find the value of x² + 2xy + y² when x = 8 and y = 3.
  39. 39.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  40. 40.What is √1225? =

Answer key

  1. 3675
  2. 5
  3. 6241
  4. 7
  5. 10
  6. 51
  7. 11
  8. 37510
  9. 6
  10. 9
  11. 8
  12. 423
  13. 16
  14. 100000
  15. 15
  16. 50
  17. 3075
  18. 8624
  19. 5
  20. 40
  21. 1/128
  22. 125
  23. 0.00054
  24. 1/16
  25. 145
  26. 216
  27. 1/2
  28. 7
  29. 16
  30. 30
  31. 504
  32. 288
  33. 3025
  34. 146
  35. 140
  36. 568
  37. 1
  38. 121
  39. 49
  40. 35

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