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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 799 · 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.The length of a rectangle is 15 cm more than its width. Its perimeter is 114 cm. What is its width (in cm)?
  2. 2.What is √1521? =
  3. 3.What is 7³? =
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.Find the compound interest on ₹10000 at 20% per year for 1 year, compounded every year (in ₹).
  6. 6.A father is 16 years older than his son. In 5 years, the father will be twice as old as his son. How old is the son now?
  7. 7.The length of a rectangle is 6 cm more than its width. Its perimeter is 64 cm. What is its width (in cm)?
  8. 8.What is the difference between the compound interest and the simple interest on ₹45600 at 5% per year for 2 years (in ₹)?
  9. 9.The length of a rectangle is 10 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  10. 10.Use (a + b)² = a² + 2ab + b² to find 63².
  11. 11.The diagonals of a rhombus are 16 cm and 11 cm. What is its area (in square cm)?
  12. 12.Which of these is a perfect square? (a) 361 (b) 371 (c) 389
  13. 13.What is the difference between the compound interest and the simple interest on ₹50000 at 4% per year for 2 years (in ₹)?
  14. 14.3.4 × 10⁷ =
  15. 15.A cuboid is 15 cm long, 5 cm wide and 9 cm high. What is its total surface area (in square cm)?
  16. 16.What is √1936? =
  17. 17.What is ∛64? =
  18. 18.The length of a rectangle is 8 cm more than its width. Its perimeter is 108 cm. What is its width (in cm)?
  19. 19.Which of these is a perfect square? (a) 1397 (b) 1372 (c) 1369
  20. 20.What is the smallest whole number by which 832 must be divided to get a perfect square?
  21. 21.What is ∛27? =
  22. 22.A cuboid is 7 cm long, 10 cm wide and 4 cm high. What is its total surface area (in square cm)?
  23. 23.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)?
  24. 24.The diagonals of a rhombus are 4 cm and 12 cm. What is its area (in square cm)?
  25. 25.A father is 21 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  26. 26.What is the difference between the compound interest and the simple interest on ₹20000 at 15% per year for 2 years (in ₹)?
  27. 27.How many whole numbers lie between 24² and 25²?
  28. 28.What is the value of 8⁻³ (as a fraction)? =
  29. 29.6.8 × 10³ =
  30. 30.Solve: y/5 + y/4 = 18. What is y?
  31. 31.A trapezium has an area of 174 square cm. Its parallel sides are 19 cm and 10 cm. What is the distance between them (in cm)?
  32. 32.What is the value of 10³ × 10⁻⁴? =
  33. 33.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  34. 34.3.7 × 10⁶ =
  35. 35.A cuboid is 4 cm long, 9 cm wide and 2 cm high. What is its total surface area (in square cm)?
  36. 36.Use a² − b² = (a + b)(a − b) to find 75² − 45².
  37. 37.A cuboid is 6 cm long, 6 cm wide and 10 cm high. What is its total surface area (in square cm)?
  38. 38.Find the value of x² + 2xy + y² when x = 4 and y = 1.
  39. 39.What is ∛10648? =
  40. 40.A town has 24900 people. The population grows by 5% every year. What will the population be after 1 year?

Answer key

  1. 21
  2. 39
  3. 343
  4. 64
  5. 2000
  6. 11
  7. 13
  8. 114
  9. 17
  10. 3969
  11. 88
  12. 361
  13. 80
  14. 34000000
  15. 510
  16. 44
  17. 4
  18. 23
  19. 1369
  20. 13
  21. 3
  22. 276
  23. 121
  24. 24
  25. 5
  26. 450
  27. 48
  28. 1/512
  29. 6800
  30. 40
  31. 12
  32. 1/10
  33. 5
  34. 3700000
  35. 124
  36. 3600
  37. 312
  38. 25
  39. 22
  40. 26145

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