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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 719 · 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. 1.4.7 × 10⁴ =
  2. 2.Solve: 7p + 14 = p + 62. What is p?
  3. 3.What is the difference between the compound interest and the simple interest on ₹50000 at 8% per year for 2 years (in ₹)?
  4. 4.What amount will ₹48000 grow to in 3 years at 5% per year compound interest (in ₹)?
  5. 5.A trapezium has an area of 220 square cm. Its parallel sides are 23 cm and 21 cm. What is the distance between them (in cm)?
  6. 6.Use a² − b² = (a + b)(a − b) to find 36² − 12².
  7. 7.What is √9801? =
  8. 8.What amount will ₹25000 grow to in 2 years at 12% per year compound interest (in ₹)?
  9. 9.If a − b = 3 and ab = 88, what is a² + b²?
  10. 10.What is ∛12167? =
  11. 11.What is the value of 2⁹? =
  12. 12.9.9 × 10⁴ =
  13. 13.What is ∛8000? =
  14. 14.Find the compound interest on ₹19000 at 10% per year for 1 year, compounded every year (in ₹).
  15. 15.What amount will ₹43200 grow to in 2 years at 15% per year compound interest (in ₹)?
  16. 16.The length of a rectangle is 7 cm more than its width. Its perimeter is 130 cm. What is its width (in cm)?
  17. 17.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  18. 18.What is 16³? =
  19. 19.Which of these is a perfect cube? (a) 216 (b) 256 (c) 296
  20. 20.What is 60²? =
  21. 21.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  22. 22.Use (a − b)² = a² − 2ab + b² to find 81².
  23. 23.Write 1.3 × 10⁻² as a decimal. =
  24. 24.What is 76²? =
  25. 25.Solve: 9x + 8 = 6x + 20. What is x?
  26. 26.How many whole numbers lie between 46² and 47²?
  27. 27.What is ∛512? =
  28. 28.Solve: 9t + 14 = 8t + 17. What is t?
  29. 29.Write (3²)³ as a single power 3ⁿ. What is n?
  30. 30.A room is 6 m long, 3 m wide and 5 m high. What is the area of its four walls (in square m)?
  31. 31.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  32. 32.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  33. 33.Find the compound interest on ₹12500 at 12% per year for 2 years, compounded every year (in ₹).
  34. 34.What is the difference between the compound interest and the simple interest on ₹17500 at 4% per year for 2 years (in ₹)?
  35. 35.A cuboid is 13 cm long, 2 cm wide and 3 cm high. What is its total surface area (in square cm)?
  36. 36.The sum of two consecutive whole numbers is 99. What is the smallest of them?
  37. 37.Use (a + b)² = a² + 2ab + b² to find 24².
  38. 38.Solve: 6y + 4 = 2y + 60. What is y?
  39. 39.How many whole numbers lie between 42² and 43²?
  40. 40.A trapezium has parallel sides of 7 cm and 2 cm, and the distance between them is 8 cm. What is its area (in square cm)?

Answer key

  1. 47000
  2. 8
  3. 320
  4. 55566
  5. 10
  6. 1152
  7. 99
  8. 31360
  9. 185
  10. 23
  11. 512
  12. 99000
  13. 20
  14. 1900
  15. 57132
  16. 29
  17. 2
  18. 4096
  19. 216
  20. 3600
  21. 15
  22. 6561
  23. 0.013
  24. 5776
  25. 4
  26. 92
  27. 8
  28. 3
  29. 6
  30. 90
  31. 441
  32. 3
  33. 3180
  34. 28
  35. 142
  36. 49
  37. 576
  38. 14
  39. 84
  40. 36

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