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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 554 · 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 (3/4)⁻¹? =
  2. 2.What is 54²? =
  3. 3.What is 51²? =
  4. 4.A trapezium has parallel sides of 10 cm and 6 cm, and the distance between them is 14 cm. What is its area (in square cm)?
  5. 5.What is 77²? =
  6. 6.Solve: 4(m − 2) = m + 7. What is m?
  7. 7.Write 3⁵ × 3³ as a single power 3ⁿ. What is n?
  8. 8.A scooter is worth ₹14000. Its value falls by 5% every year. What will it be worth after 1 year (in ₹)?
  9. 9.What is the smallest whole number by which 63 must be multiplied to get a perfect square?
  10. 10.The length of a rectangle is 9 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  11. 11.Which of these is a perfect cube? (a) 2505 (b) 2578 (c) 2197
  12. 12.The length of a rectangle is 14 cm more than its width. Its perimeter is 72 cm. What is its width (in cm)?
  13. 13.Use (a − b)² = a² − 2ab + b² to find 96².
  14. 14.What is the smallest whole number by which 162 must be multiplied to get a perfect square?
  15. 15.A cuboid is 8 cm long, 5 cm wide and 7 cm high. What is its total surface area (in square cm)?
  16. 16.Which of these is a perfect square? (a) 513 (b) 489 (c) 484
  17. 17.Use (a + b)² = a² + 2ab + b² to find 73².
  18. 18.What is the smallest whole number by which 243 must be multiplied to get a perfect square?
  19. 19.A father is 8 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  20. 20.What is the sum of the first 17 odd numbers (1 + 3 + 5 + …)?
  21. 21.Solve: x/6 + x/4 = 20. What is x?
  22. 22.Write 8¹¹ ÷ 8² as a single power 8ⁿ. What is n?
  23. 23.What is the value of 2¹³? =
  24. 24.What is the smallest whole number by which 504 must be multiplied to get a perfect square?
  25. 25.What is the difference between the compound interest and the simple interest on ₹37500 at 12% per year for 2 years (in ₹)?
  26. 26.What is the value of 5⁵ × 5⁻⁶? =
  27. 27.Use (a − b)² = a² − 2ab + b² to find 56².
  28. 28.Which of these is a perfect square? (a) 196 (b) 211 (c) 212
  29. 29.How many whole numbers lie between 47² and 48²?
  30. 30.Find the compound interest on ₹24000 at 15% per year for 3 years, compounded every year (in ₹).
  31. 31.Write 6,80,00,000 in standard form as 6.8 × 10ⁿ. What is n?
  32. 32.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.What is 20³? =
  34. 34.What is the value of 3¹ × 3⁻⁶? =
  35. 35.A scooter is worth ₹54800. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
  36. 36.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  37. 37.Write 9.8 × 10⁻² as a decimal. =
  38. 38.A square garden has an area of 2916 square m. How long is each side (in m)?
  39. 39.The total surface area of a cube is 384 square cm. How long is each edge (in cm)?
  40. 40.What is the value of 2³ × 2⁻⁵? =

Answer key

  1. 4/3
  2. 2916
  3. 2601
  4. 112
  5. 5929
  6. 5
  7. 8
  8. 13300
  9. 7
  10. 6
  11. 2197
  12. 11
  13. 9216
  14. 2
  15. 262
  16. 484
  17. 5329
  18. 3
  19. 2
  20. 289
  21. 48
  22. 9
  23. 8192
  24. 14
  25. 540
  26. 1/5
  27. 3136
  28. 196
  29. 94
  30. 12501
  31. 7
  32. 64
  33. 8000
  34. 1/243
  35. 30825
  36. 9
  37. 0.098
  38. 54
  39. 8
  40. 1/4

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