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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 885 · 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 amount will ₹46000 grow to in 3 years at 20% per year compound interest (in ₹)?
  2. 2.A father is 14 years older than his son. In 5 years, the father will be three times as old as his son. How old is the son now?
  3. 3.A father is 48 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  4. 4.Find the value of x² + 2xy + y² when x = 15 and y = 2.
  5. 5.What is the difference between the compound interest and the simple interest on ₹8800 at 15% per year for 2 years (in ₹)?
  6. 6.A square garden has an area of 169 square m. How long is each side (in m)?
  7. 7.Use (a + b)² = a² + 2ab + b² to find 31².
  8. 8.What is the smallest whole number by which 896 must be multiplied to get a perfect square?
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.Write 5.6 × 10⁻¹ as a decimal. =
  11. 11.The sum of three consecutive whole numbers is 162. What is the smallest of them?
  12. 12.A town has 27200 people. The population grows by 10% every year. What will the population be after 2 years?
  13. 13.A square garden has an area of 441 square m. How long is each side (in m)?
  14. 14.A square garden has an area of 1024 square m. How long is each side (in m)?
  15. 15.What is the value of 2⁹? =
  16. 16.Write (5⁵)⁴ as a single power 5ⁿ. What is n?
  17. 17.A trapezium has parallel sides of 6 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  18. 18.A trapezium has parallel sides of 11 cm and 5 cm, and the distance between them is 8 cm. What is its area (in square cm)?
  19. 19.What is the value of (1/7)⁻¹? =
  20. 20.Write 1.7 × 10⁻¹ as a decimal. =
  21. 21.The diagonals of a rhombus are 22 cm and 18 cm. What is its area (in square cm)?
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.Use (a + b)(a − b) = a² − b² to find 29 × 11.
  24. 24.Solve: 7x + 8 = x + 50. What is x?
  25. 25.Which of these is a perfect cube? (a) 165 (b) 125 (c) 168
  26. 26.Write (8⁴)⁹ as a single power 8ⁿ. What is n?
  27. 27.A square garden has an area of 100 square m. How long is each side (in m)?
  28. 28.Use (a − b)² = a² − 2ab + b² to find 64².
  29. 29.Each edge of a cube is 19 cm. What is its total surface area (in square cm)?
  30. 30.Solve: 3t + 14 = 2t + 17. What is t?
  31. 31.Which of these is a perfect cube? (a) 64 (b) 103 (c) 67
  32. 32.What is the value of 2¹¹? =
  33. 33.How many whole numbers lie between 19² and 20²?
  34. 34.The total surface area of a cube is 96 square cm. How long is each edge (in cm)?
  35. 35.Use (a − b)² = a² − 2ab + b² to find 46².
  36. 36.Write 1.5 × 10⁻⁴ as a decimal. =
  37. 37.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.A father is 10 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  39. 39.What is the value of 2¹²? =
  40. 40.What is the value of (5/9)⁻²? =

Answer key

  1. 79488
  2. 2
  3. 10
  4. 289
  5. 198
  6. 13
  7. 961
  8. 14
  9. 27
  10. 0.56
  11. 53
  12. 32912
  13. 21
  14. 32
  15. 512
  16. 20
  17. 180
  18. 64
  19. 7
  20. 0.17
  21. 198
  22. 15
  23. 319
  24. 7
  25. 125
  26. 36
  27. 10
  28. 4096
  29. 2166
  30. 3
  31. 64
  32. 2048
  33. 38
  34. 4
  35. 2116
  36. 0.00015
  37. 27
  38. 2
  39. 4096
  40. 81/25

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