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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 842 · 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.A room is 7 m long, 10 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.How many whole numbers lie between 45² and 46²?
  3. 3.The diagonals of a rhombus are 6 cm and 23 cm. What is its area (in square cm)?
  4. 4.What is √1156? =
  5. 5.Solve: 7t + 19 = 4t + 28. What is t?
  6. 6.Find the value of x² − y² when x = 11 and y = 6.
  7. 7.What is the value of 2³? =
  8. 8.Solve: p/2 + p/6 = 4. What is p?
  9. 9.A square garden has an area of 225 square m. How long is each side (in m)?
  10. 10.The total surface area of a cube is 1944 square cm. How long is each edge (in cm)?
  11. 11.What is 48²? =
  12. 12.Which of these is a perfect cube? (a) 1331 (b) 1421 (c) 1573
  13. 13.If a − b = 1 and ab = 12, what is a² + b²?
  14. 14.Solve: t/2 + t/3 = 25. What is t?
  15. 15.Solve: 9p + 6 = 4p + 16. What is p?
  16. 16.The sum of two consecutive whole numbers is 103. What is the largest of them?
  17. 17.A town has 38200 people. The population grows by 10% every year. What will the population be after 2 years?
  18. 18.Solve: 5(x − 1) = x + 15. What is x?
  19. 19.What is the smallest whole number by which 125 must be multiplied to get a perfect square?
  20. 20.A trapezium has parallel sides of 11 cm and 3 cm, and the distance between them is 13 cm. What is its area (in square cm)?
  21. 21.What is 22²? =
  22. 22.What is the value of 10³? =
  23. 23.The total surface area of a cube is 1536 square cm. How long is each edge (in cm)?
  24. 24.Use (a + b)² = a² + 2ab + b² to find 22².
  25. 25.Use (a + b)(a − b) = a² − b² to find 62 × 58.
  26. 26.What is the value of (7/8)⁻¹? =
  27. 27.Which of these is a perfect cube? (a) 47 (b) 35 (c) 27
  28. 28.Use (a + b)² = a² + 2ab + b² to find 54².
  29. 29.Find the value of x² + 2xy + y² when x = 4 and y = 2.
  30. 30.What is the difference between the compound interest and the simple interest on ₹32500 at 12% per year for 2 years (in ₹)?
  31. 31.What is the difference between the compound interest and the simple interest on ₹54800 at 5% per year for 2 years (in ₹)?
  32. 32.What amount will ₹52100 grow to in 1 year at 5% per year compound interest (in ₹)?
  33. 33.What is the difference between the compound interest and the simple interest on ₹12500 at 4% per year for 2 years (in ₹)?
  34. 34.Use (a + b)(a − b) = a² − b² to find 49 × 31.
  35. 35.How many whole numbers lie between 43² and 44²?
  36. 36.Write 4.6 × 10⁻⁴ as a decimal. =
  37. 37.Solve: 6(t − 5) = 4t + 14. What is t?
  38. 38.Write (8⁹)⁴ as a single power 8ⁿ. What is n?
  39. 39.A father is 18 years older than his son. In 7 years, the father will be three times as old as his son. How old is the son now?
  40. 40.A scooter is worth ₹56000. Its value falls by 15% every year. What will it be worth after 3 years (in ₹)?

Answer key

  1. 170
  2. 90
  3. 69
  4. 34
  5. 3
  6. 85
  7. 8
  8. 6
  9. 15
  10. 18
  11. 2304
  12. 1331
  13. 25
  14. 30
  15. 2
  16. 52
  17. 46222
  18. 5
  19. 5
  20. 91
  21. 484
  22. 1000
  23. 16
  24. 484
  25. 3596
  26. 8/7
  27. 27
  28. 2916
  29. 36
  30. 468
  31. 137
  32. 54705
  33. 20
  34. 1519
  35. 86
  36. 0.00046
  37. 22
  38. 36
  39. 2
  40. 34391

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