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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 744 · 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 16³? =
  2. 2.Which of these is a perfect square? (a) 1606 (b) 1616 (c) 1600
  3. 3.What is √400? =
  4. 4.What is the smallest whole number by which 175 must be divided to get a perfect square?
  5. 5.If a + b = 11 and ab = 24, what is a² + b²?
  6. 6.Each edge of a cube is 18 cm. What is its total surface area (in square cm)?
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.Solve: p/2 + p/3 = 5. What is p?
  9. 9.Solve: 4(n − 1) = 3n + 4. What is n?
  10. 10.What is ∛125? =
  11. 11.What amount will ₹50000 grow to in 2 years at 12% per year compound interest (in ₹)?
  12. 12.Solve: 7y + 2 = 3y + 46. What is y?
  13. 13.Which of these is a perfect cube? (a) 52 (b) 27 (c) 30
  14. 14.Use a² − b² = (a + b)(a − b) to find 99² − 82².
  15. 15.What is 2³? =
  16. 16.The sum of two consecutive whole numbers is 121. What is the smallest of them?
  17. 17.A trapezium has parallel sides of 29 cm and 16 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  18. 18.A square garden has an area of 196 square m. How long is each side (in m)?
  19. 19.Write 1,20,000 in standard form as 1.2 × 10ⁿ. What is n?
  20. 20.A cuboid is 15 cm long, 7 cm wide and 4 cm high. What is its total surface area (in square cm)?
  21. 21.A square garden has an area of 2209 square m. How long is each side (in m)?
  22. 22.Solve: 3(y − 5) = 2y + 10. What is y?
  23. 23.What is the smallest whole number by which 208 must be multiplied to get a perfect square?
  24. 24.What is √5041? =
  25. 25.Use (a + b)² = a² + 2ab + b² to find 35².
  26. 26.Use (a + b)(a − b) = a² − b² to find 98 × 82.
  27. 27.What is 57²? =
  28. 28.A trapezium has parallel sides of 15 cm and 3 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  29. 29.A room is 4 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  30. 30.The sum of four consecutive whole numbers is 62. What is the smallest of them?
  31. 31.What is the value of 5³? =
  32. 32.What is the smallest whole number by which 192 must be divided to get a perfect square?
  33. 33.What is the smallest whole number by which 490 must be divided to get a perfect square?
  34. 34.The diagonals of a rhombus are 28 cm and 4 cm. What is its area (in square cm)?
  35. 35.Use a² − b² = (a + b)(a − b) to find 94² − 22².
  36. 36.If a + b = 9 and ab = 20, what is a² + b²?
  37. 37.A cuboid is 8 cm long, 4 cm wide and 6 cm high. What is its total surface area (in square cm)?
  38. 38.Write 6⁹ ÷ 6⁴ as a single power 6ⁿ. What is n?
  39. 39.A trapezium has an area of 154 square cm. Its parallel sides are 5 cm and 17 cm. What is the distance between them (in cm)?
  40. 40.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4096
  2. 1600
  3. 20
  4. 7
  5. 73
  6. 1944
  7. 27
  8. 6
  9. 8
  10. 5
  11. 62720
  12. 11
  13. 27
  14. 3077
  15. 8
  16. 60
  17. 135
  18. 14
  19. 5
  20. 386
  21. 47
  22. 25
  23. 13
  24. 71
  25. 1225
  26. 8036
  27. 3249
  28. 54
  29. 88
  30. 14
  31. 125
  32. 3
  33. 10
  34. 56
  35. 8352
  36. 41
  37. 208
  38. 5
  39. 14
  40. 15

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