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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 352 · 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 is 93²? =
  2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  3. 3.The length of a rectangle is 12 cm more than its width. Its perimeter is 40 cm. What is its width (in cm)?
  4. 4.Write 8⁹ ÷ 8² as a single power 8ⁿ. What is n?
  5. 5.Write 13,000 in standard form as 1.3 × 10ⁿ. What is n?
  6. 6.What amount will ₹16300 grow to in 2 years at 20% per year compound interest (in ₹)?
  7. 7.What amount will ₹33600 grow to in 2 years at 25% per year compound interest (in ₹)?
  8. 8.A town has 16000 people. The population grows by 25% every year. What will the population be after 3 years?
  9. 9.What is 7³? =
  10. 10.The total surface area of a cube is 1350 square cm. How long is each edge (in cm)?
  11. 11.Solve: 8x + 8 = 4x + 64. What is x?
  12. 12.What is 30²? =
  13. 13.What is the value of 10⁻¹ (as a fraction)? =
  14. 14.Which of these is a perfect square? (a) 144 (b) 150 (c) 145
  15. 15.The total surface area of a cube is 1176 square cm. How long is each edge (in cm)?
  16. 16.What is the value of 10³ × 10⁻⁶? =
  17. 17.Which of these is a perfect square? (a) 550 (b) 529 (c) 566
  18. 18.If a + b = 5 and ab = 4, what is a² + b²?
  19. 19.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  20. 20.Use (a + b)² = a² + 2ab + b² to find 19².
  21. 21.The length of a rectangle is 5 cm more than its width. Its perimeter is 94 cm. What is its width (in cm)?
  22. 22.Which of these is a perfect cube? (a) 1903 (b) 2028 (c) 1728
  23. 23.What is the sum of the first 6 odd numbers (1 + 3 + 5 + …)?
  24. 24.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  25. 25.What is ∛2744? =
  26. 26.A square garden has an area of 900 square m. How long is each side (in m)?
  27. 27.A cuboid is 6 cm long, 11 cm wide and 6 cm high. What is its total surface area (in square cm)?
  28. 28.Solve: 4(y − 4) = y + 35. What is y?
  29. 29.What is the difference between the compound interest and the simple interest on ₹15000 at 4% per year for 2 years (in ₹)?
  30. 30.Find the value of x² − y² when x = 15 and y = 4.
  31. 31.What is the value of 8⁻³ (as a fraction)? =
  32. 32.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  33. 33.A trapezium has parallel sides of 19 cm and 7 cm, and the distance between them is 5 cm. What is its area (in square cm)?
  34. 34.Write 9 × 10⁻³ as a decimal. =
  35. 35.Write 6.7 × 10⁻³ as a decimal. =
  36. 36.What amount will ₹41600 grow to in 2 years at 20% per year compound interest (in ₹)?
  37. 37.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 686 must be divided to get a perfect square?
  39. 39.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  40. 40.What amount will ₹10400 grow to in 1 year at 25% per year compound interest (in ₹)?

Answer key

  1. 8649
  2. 2
  3. 4
  4. 7
  5. 4
  6. 23472
  7. 52500
  8. 31250
  9. 343
  10. 15
  11. 14
  12. 900
  13. 1/10
  14. 144
  15. 14
  16. 1/1000
  17. 529
  18. 17
  19. 1944
  20. 361
  21. 21
  22. 1728
  23. 36
  24. 70
  25. 14
  26. 30
  27. 336
  28. 17
  29. 24
  30. 209
  31. 1/512
  32. 16
  33. 65
  34. 0.009
  35. 0.0067
  36. 59904
  37. 14
  38. 14
  39. 3
  40. 13000

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