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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 711 · 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 the value of (3/4)⁻¹? =
  2. 2.Use (a + b)² = a² + 2ab + b² to find 33².
  3. 3.What is the smallest whole number by which 128 must be multiplied to get a perfect square?
  4. 4.Use (a + b)² = a² + 2ab + b² to find 64².
  5. 5.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  6. 6.Which of these is a perfect square? (a) 115 (b) 110 (c) 100
  7. 7.What is the value of 10² × 10⁻¹? =
  8. 8.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  9. 9.A cuboid is 9 cm long, 2 cm wide and 4 cm high. What is its total surface area (in square cm)?
  10. 10.A father is 9 years older than his son. In 1 year, the father will be four times as old as his son. How old is the son now?
  11. 11.The diagonals of a rhombus are 14 cm and 5 cm. What is its area (in square cm)?
  12. 12.A cuboid is 12 cm long, 3 cm wide and 6 cm high. What is its total surface area (in square cm)?
  13. 13.The diagonals of a rhombus are 10 cm and 4 cm. What is its area (in square cm)?
  14. 14.What is 42²? =
  15. 15.9.1 × 10³ =
  16. 16.What amount will ₹8000 grow to in 3 years at 5% per year compound interest (in ₹)?
  17. 17.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  18. 18.A father is 18 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?
  19. 19.Each edge of a cube is 17 cm. What is its total surface area (in square cm)?
  20. 20.Use (a − b)² = a² − 2ab + b² to find 12².
  21. 21.A square garden has an area of 3136 square m. How long is each side (in m)?
  22. 22.Solve: 4(y − 4) = 2y + 18. What is y?
  23. 23.A town has 36900 people. The population grows by 20% every year. What will the population be after 2 years?
  24. 24.Use (a + b)(a − b) = a² − b² to find 98 × 82.
  25. 25.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  26. 26.A room is 3 m long, 4 m wide and 5 m high. What is the area of its four walls (in square m)?
  27. 27.A room is 11 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  28. 28.Which of these is a perfect square? (a) 218 (b) 223 (c) 196
  29. 29.Solve: 5n + 9 = 3n + 37. What is n?
  30. 30.Each edge of a cube is 20 cm. What is its total surface area (in square cm)?
  31. 31.Solve: 3(x − 4) = 2x + 4. What is x?
  32. 32.A cuboid is 7 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  33. 33.Each edge of a cube is 10 cm. What is its total surface area (in square cm)?
  34. 34.What is the value of (6/7)⁻¹? =
  35. 35.The diagonals of a rhombus are 22 cm and 27 cm. What is its area (in square cm)?
  36. 36.Which of these is a perfect square? (a) 729 (b) 759 (c) 764
  37. 37.Use (a + b)² = a² + 2ab + b² to find 32².
  38. 38.Write (5³)⁷ as a single power 5ⁿ. What is n?
  39. 39.What amount will ₹12400 grow to in 2 years at 5% per year compound interest (in ₹)?
  40. 40.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?

Answer key

  1. 4/3
  2. 1089
  3. 2
  4. 4096
  5. 14
  6. 100
  7. 10
  8. 6
  9. 124
  10. 2
  11. 35
  12. 252
  13. 20
  14. 1764
  15. 9100
  16. 9261
  17. 49
  18. 4
  19. 1734
  20. 144
  21. 56
  22. 17
  23. 53136
  24. 8036
  25. 5
  26. 70
  27. 120
  28. 196
  29. 14
  30. 2400
  31. 16
  32. 310
  33. 600
  34. 7/6
  35. 297
  36. 729
  37. 1024
  38. 21
  39. 13671
  40. 3

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