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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 731 · 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 value of 2⁻¹ (as a fraction)? =
  2. 2.What is the value of 9⁵? =
  3. 3.Find the compound interest on ₹56400 at 5% per year for 2 years, compounded every year (in ₹).
  4. 4.What is the sum of the first 15 odd numbers (1 + 3 + 5 + …)?
  5. 5.Solve: x/2 + x/5 = 14. What is x?
  6. 6.What is the value of 3² × 3⁻²? =
  7. 7.What is the value of 5³ × 5⁻⁵? =
  8. 8.Solve: 3(t − 4) = 2t + 5. What is t?
  9. 9.Write (8³)³ as a single power 8ⁿ. What is n?
  10. 10.Write 8.7 × 10⁻⁴ as a decimal. =
  11. 11.What is √5041? =
  12. 12.What is 2³? =
  13. 13.The diagonals of a rhombus are 12 cm and 10 cm. What is its area (in square cm)?
  14. 14.Write 9.5 × 10⁻³ as a decimal. =
  15. 15.Use (a + b)² = a² + 2ab + b² to find 75².
  16. 16.Use (a + b)² = a² + 2ab + b² to find 27².
  17. 17.A trapezium has parallel sides of 16 cm and 4 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  18. 18.A room is 6 m long, 4 m wide and 3 m high. What is the area of its four walls (in square m)?
  19. 19.Write 3.4 × 10⁻⁴ as a decimal. =
  20. 20.6.1 × 10⁴ =
  21. 21.A square garden has an area of 961 square m. How long is each side (in m)?
  22. 22.Use (a + b)(a − b) = a² − b² to find 37 × 23.
  23. 23.A cuboid is 3 cm long, 10 cm wide and 3 cm high. What is its total surface area (in square cm)?
  24. 24.What is 39²? =
  25. 25.Use (a − b)² = a² − 2ab + b² to find 53².
  26. 26.What is the value of 2⁸? =
  27. 27.What is the value of 10⁴ × 10⁻¹? =
  28. 28.Find the value of x² + 2xy + y² when x = 7 and y = 1.
  29. 29.Write 2.5 × 10⁻³ as a decimal. =
  30. 30.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  31. 31.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A trapezium has parallel sides of 23 cm and 29 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  33. 33.What is √5476? =
  34. 34.The length of a rectangle is 5 cm more than its width. Its perimeter is 62 cm. What is its width (in cm)?
  35. 35.What is 28²? =
  36. 36.A father is 38 years older than his son. In 8 years, the father will be three times as old as his son. How old is the son now?
  37. 37.What is 15³? =
  38. 38.What is the smallest whole number by which 176 must be divided to get a perfect square?
  39. 39.If a − b = 1 and ab = 30, what is a² + b²?
  40. 40.Solve: 4p + 5 = 3p + 8. What is p?

Answer key

  1. 1/2
  2. 59049
  3. 5781
  4. 225
  5. 20
  6. 1
  7. 1/25
  8. 17
  9. 9
  10. 0.00087
  11. 71
  12. 8
  13. 60
  14. 0.0095
  15. 5625
  16. 729
  17. 130
  18. 60
  19. 0.00034
  20. 61000
  21. 31
  22. 851
  23. 138
  24. 1521
  25. 2809
  26. 256
  27. 1000
  28. 64
  29. 0.0025
  30. 2
  31. 8
  32. 312
  33. 74
  34. 13
  35. 784
  36. 11
  37. 3375
  38. 11
  39. 61
  40. 3

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