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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 801 · 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.The length of a rectangle is 10 cm more than its width. Its perimeter is 88 cm. What is its width (in cm)?
  2. 2.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  3. 3.The total surface area of a cube is 54 square cm. How long is each edge (in cm)?
  4. 4.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  5. 5.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  6. 6.Find the value of x² − 2xy + y² when x = 8 and y = 4.
  7. 7.What is the smallest whole number by which 72 must be multiplied to get a perfect square?
  8. 8.A cuboid is 6 cm long, 3 cm wide and 5 cm high. What is its total surface area (in square cm)?
  9. 9.If a + b = 20 and ab = 96, what is a² + b²?
  10. 10.Which of these is a perfect cube? (a) 96 (b) 64 (c) 69
  11. 11.What is √1089? =
  12. 12.Write 710 in standard form as 7.1 × 10ⁿ. What is n?
  13. 13.Solve: 6(m − 5) = 2m + 38. What is m?
  14. 14.Use (a + b)² = a² + 2ab + b² to find 101².
  15. 15.What is the sum of the first 16 odd numbers (1 + 3 + 5 + …)?
  16. 16.A scooter is worth ₹16000. Its value falls by 25% every year. What will it be worth after 3 years (in ₹)?
  17. 17.How many whole numbers lie between 5² and 6²?
  18. 18.Use (a − b)² = a² − 2ab + b² to find 26².
  19. 19.What is the value of 3² × 3⁻³? =
  20. 20.How many whole numbers lie between 35² and 36²?
  21. 21.A square garden has an area of 1521 square m. How long is each side (in m)?
  22. 22.What is 14³? =
  23. 23.A scooter is worth ₹50000. Its value falls by 25% every year. What will it be worth after 2 years (in ₹)?
  24. 24.Use (a + b)(a − b) = a² − b² to find 22 × 18.
  25. 25.What is 86²? =
  26. 26.How many whole numbers lie between 47² and 48²?
  27. 27.A trapezium has an area of 117 square cm. Its parallel sides are 23 cm and 16 cm. What is the distance between them (in cm)?
  28. 28.Use (a + b)(a − b) = a² − b² to find 37 × 23.
  29. 29.What is the value of 2¹³? =
  30. 30.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  31. 31.What is the difference between the compound interest and the simple interest on ₹23200 at 25% per year for 2 years (in ₹)?
  32. 32.Use (a + b)² = a² + 2ab + b² to find 82².
  33. 33.Which of these is a perfect square? (a) 169 (b) 187 (c) 192
  34. 34.A room is 3 m long, 9 m wide and 5 m high. What is the area of its four walls (in square m)?
  35. 35.Solve: 6p + 5 = p + 45. What is p?
  36. 36.A trapezium has an area of 390 square cm. Its parallel sides are 29 cm and 10 cm. What is the distance between them (in cm)?
  37. 37.What is 47²? =
  38. 38.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  39. 39.What is ∛343? =
  40. 40.A cuboid is 14 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?

Answer key

  1. 17
  2. 54
  3. 3
  4. 1176
  5. 9
  6. 16
  7. 2
  8. 126
  9. 208
  10. 64
  11. 33
  12. 2
  13. 17
  14. 10201
  15. 256
  16. 6750
  17. 10
  18. 676
  19. 1/3
  20. 70
  21. 39
  22. 2744
  23. 28125
  24. 396
  25. 7396
  26. 94
  27. 6
  28. 851
  29. 8192
  30. 1536
  31. 1450
  32. 6724
  33. 169
  34. 120
  35. 8
  36. 20
  37. 2209
  38. 4
  39. 7
  40. 758

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