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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 866 · 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.Find the compound interest on ₹45700 at 5% per year for 1 year, compounded every year (in ₹).
  2. 2.How many whole numbers lie between 47² and 48²?
  3. 3.Which of these is a perfect square? (a) 1571 (b) 1536 (c) 1521
  4. 4.The diagonals of a rhombus are 16 cm and 9 cm. What is its area (in square cm)?
  5. 5.The sum of two consecutive whole numbers is 63. What is the smallest of them?
  6. 6.What is ∛12167? =
  7. 7.What is the difference between the compound interest and the simple interest on ₹4500 at 10% per year for 2 years (in ₹)?
  8. 8.The length of a rectangle is 3 cm more than its width. Its perimeter is 46 cm. What is its width (in cm)?
  9. 9.Find the value of x² − y² when x = 14 and y = 1.
  10. 10.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  12. 12.The sum of three consecutive whole numbers is 171. What is the smallest of them?
  13. 13.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  14. 14.What is the value of 10² × 10⁻⁶? =
  15. 15.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  16. 16.What is the value of 10² × 10⁻⁴? =
  17. 17.Use (a + b)² = a² + 2ab + b² to find 96².
  18. 18.A room is 5 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  19. 19.What is the smallest whole number by which 375 must be multiplied to get a perfect square?
  20. 20.Write 2.8 × 10⁻³ as a decimal. =
  21. 21.A town has 23500 people. The population grows by 20% every year. What will the population be after 3 years?
  22. 22.A town has 47200 people. The population grows by 5% every year. What will the population be after 2 years?
  23. 23.A trapezium has an area of 92 square cm. Its parallel sides are 20 cm and 26 cm. What is the distance between them (in cm)?
  24. 24.What is the smallest whole number by which 396 must be divided to get a perfect square?
  25. 25.A trapezium has parallel sides of 10 cm and 16 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  26. 26.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  27. 27.Write 7.6 × 10⁻¹ as a decimal. =
  28. 28.What is the value of 3⁹? =
  29. 29.Write 9⁸ ÷ 9² as a single power 9ⁿ. What is n?
  30. 30.A scooter is worth ₹17200. Its value falls by 25% every year. What will it be worth after 1 year (in ₹)?
  31. 31.Find the value of x² − y² when x = 9 and y = 7.
  32. 32.What is the value of 2¹¹? =
  33. 33.Use (a + b)² = a² + 2ab + b² to find 55².
  34. 34.Write (6⁷)⁴ as a single power 6ⁿ. What is n?
  35. 35.What is the value of (5/6)⁻¹? =
  36. 36.What is the value of 9⁻³ (as a fraction)? =
  37. 37.A trapezium has an area of 99 square cm. Its parallel sides are 20 cm and 2 cm. What is the distance between them (in cm)?
  38. 38.How many whole numbers lie between 18² and 19²?
  39. 39.Which of these is a perfect square? (a) 196 (b) 208 (c) 204
  40. 40.The sum of three consecutive whole numbers is 120. What is the smallest of them?

Answer key

  1. 2285
  2. 94
  3. 1521
  4. 72
  5. 31
  6. 23
  7. 45
  8. 10
  9. 195
  10. 16
  11. 4
  12. 56
  13. 20
  14. 1/10000
  15. 5
  16. 1/100
  17. 9216
  18. 90
  19. 15
  20. 0.0028
  21. 40608
  22. 52038
  23. 4
  24. 11
  25. 104
  26. 16
  27. 0.76
  28. 19683
  29. 6
  30. 12900
  31. 32
  32. 2048
  33. 3025
  34. 28
  35. 6/5
  36. 1/729
  37. 9
  38. 36
  39. 196
  40. 39

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