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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 143 · 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.A room is 9 m long, 8 m wide and 5 m high. What is the area of its four walls (in square m)?
  2. 2.What is √441? =
  3. 3.Which of these is a perfect cube? (a) 125 (b) 171 (c) 200
  4. 4.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.A square garden has an area of 841 square m. How long is each side (in m)?
  6. 6.Use (a − b)² = a² − 2ab + b² to find 98².
  7. 7.What is the value of 6⁻² (as a fraction)? =
  8. 8.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.A town has 37700 people. The population grows by 5% every year. What will the population be after 1 year?
  10. 10.Use (a + b)(a − b) = a² − b² to find 72 × 68.
  11. 11.What is the smallest whole number by which 147 must be multiplied to get a perfect square?
  12. 12.A father is 33 years older than his son. In 5 years, the father will be four times as old as his son. How old is the son now?
  13. 13.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is the value of 2²? =
  15. 15.Use a² − b² = (a + b)(a − b) to find 26² − 13².
  16. 16.What is the value of 2¹³? =
  17. 17.Find the compound interest on ₹21100 at 10% per year for 1 year, compounded every year (in ₹).
  18. 18.Solve: t/2 + t/4 = 21. What is t?
  19. 19.A town has 7100 people. The population grows by 12% every year. What will the population be after 1 year?
  20. 20.What is the smallest whole number by which 52 must be multiplied to get a perfect square?
  21. 21.What amount will ₹10000 grow to in 2 years at 12% per year compound interest (in ₹)?
  22. 22.What is 37²? =
  23. 23.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.What is the sum of the first 25 odd numbers (1 + 3 + 5 + …)?
  25. 25.Use (a − b)² = a² − 2ab + b² to find 97².
  26. 26.Find the value of x² + 2xy + y² when x = 11 and y = 2.
  27. 27.A father is 39 years older than his son. In 2 years, the father will be four times as old as his son. How old is the son now?
  28. 28.If a + b = 15 and ab = 54, what is a² + b²?
  29. 29.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  30. 30.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  31. 31.What is 24²? =
  32. 32.The sum of two consecutive whole numbers is 95. What is the largest of them?
  33. 33.Write 1.5 × 10⁻³ as a decimal. =
  34. 34.Write 1.8 × 10⁻¹ as a decimal. =
  35. 35.A trapezium has parallel sides of 17 cm and 24 cm, and the distance between them is 12 cm. What is its area (in square cm)?
  36. 36.A room is 12 m long, 7 m wide and 5 m high. What is the area of its four walls (in square m)?
  37. 37.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  38. 38.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  39. 39.A cuboid is 3 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  40. 40.The length of a rectangle is 4 cm more than its width. Its perimeter is 96 cm. What is its width (in cm)?

Answer key

  1. 170
  2. 21
  3. 125
  4. 27
  5. 29
  6. 9604
  7. 1/36
  8. 125
  9. 39585
  10. 4896
  11. 3
  12. 6
  13. 125
  14. 4
  15. 507
  16. 8192
  17. 2110
  18. 28
  19. 7952
  20. 13
  21. 12544
  22. 1369
  23. 27
  24. 625
  25. 9409
  26. 169
  27. 11
  28. 117
  29. 54
  30. 4
  31. 576
  32. 48
  33. 0.0015
  34. 0.18
  35. 246
  36. 190
  37. 49
  38. 3
  39. 174
  40. 22

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