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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 867 · 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 diagonals of a rhombus are 6 cm and 12 cm. What is its area (in square cm)?
  2. 2.What amount will ₹48100 grow to in 1 year at 5% per year compound interest (in ₹)?
  3. 3.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.Use (a + b)(a − b) = a² − b² to find 47 × 33.
  5. 5.What is the smallest whole number by which 75 must be divided to get a perfect square?
  6. 6.Each edge of a cube is 7 cm. What is its total surface area (in square cm)?
  7. 7.Solve: y/5 + y/4 = 72. What is y?
  8. 8.What is the value of 10⁻³ (as a fraction)? =
  9. 9.What is the value of 2² × 2⁻⁵? =
  10. 10.If a − b = 3 and ab = 28, what is a² + b²?
  11. 11.What is the value of 3⁹? =
  12. 12.What is ∛3375? =
  13. 13.The total surface area of a cube is 294 square cm. How long is each edge (in cm)?
  14. 14.What is the value of 2¹³? =
  15. 15.What is the value of 10¹ × 10⁻³? =
  16. 16.A father is 11 years older than his son. In 6 years, the father will be twice as old as his son. How old is the son now?
  17. 17.A room is 12 m long, 9 m wide and 3 m high. What is the area of its four walls (in square m)?
  18. 18.What is the value of 3⁴? =
  19. 19.Use (a + b)² = a² + 2ab + b² to find 37².
  20. 20.A cuboid is 14 cm long, 8 cm wide and 2 cm high. What is its total surface area (in square cm)?
  21. 21.What amount will ₹41100 grow to in 1 year at 25% per year compound interest (in ₹)?
  22. 22.A room is 10 m long, 5 m wide and 3 m high. What is the area of its four walls (in square m)?
  23. 23.What is the smallest whole number by which 117 must be multiplied to get a perfect square?
  24. 24.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  25. 25.Use (a + b)² = a² + 2ab + b² to find 26².
  26. 26.Use (a + b)² = a² + 2ab + b² to find 19².
  27. 27.A trapezium has an area of 320 square cm. Its parallel sides are 6 cm and 26 cm. What is the distance between them (in cm)?
  28. 28.Which of these is a perfect square? (a) 227 (b) 229 (c) 225
  29. 29.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  30. 30.A trapezium has parallel sides of 8 cm and 12 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  31. 31.Solve: 6x + 16 = 5x + 23. What is x?
  32. 32.Which of these is a perfect square? (a) 763 (b) 729 (c) 745
  33. 33.What is the value of 3² × 3⁻¹? =
  34. 34.What is the smallest whole number by which 27 must be divided to get a perfect square?
  35. 35.Each edge of a cube is 5 cm. What is its total surface area (in square cm)?
  36. 36.What is 24²? =
  37. 37.Use (a + b)(a − b) = a² − b² to find 77 × 63.
  38. 38.Which of these is a perfect cube? (a) 64 (b) 88 (c) 91
  39. 39.Solve: 4(m − 5) = 3m + 9. What is m?
  40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

Answer key

  1. 36
  2. 50505
  3. 8
  4. 1551
  5. 3
  6. 294
  7. 160
  8. 1/1000
  9. 1/8
  10. 65
  11. 19683
  12. 15
  13. 7
  14. 8192
  15. 1/100
  16. 5
  17. 126
  18. 81
  19. 1369
  20. 312
  21. 51375
  22. 90
  23. 13
  24. 2646
  25. 676
  26. 361
  27. 20
  28. 225
  29. 441
  30. 100
  31. 7
  32. 729
  33. 3
  34. 3
  35. 150
  36. 576
  37. 4851
  38. 64
  39. 29
  40. 16

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