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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 712 · 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 √3025? =
  2. 2.What is the value of 2⁻⁷ (as a fraction)? =
  3. 3.A father is 51 years older than his son. In 6 years, the father will be four times as old as his son. How old is the son now?
  4. 4.What is 13³? =
  5. 5.A room is 4 m long, 9 m wide and 4 m high. What is the area of its four walls (in square m)?
  6. 6.A trapezium has an area of 21 square cm. Its parallel sides are 9 cm and 5 cm. What is the distance between them (in cm)?
  7. 7.The length of a rectangle is 3 cm more than its width. Its perimeter is 34 cm. What is its width (in cm)?
  8. 8.What is the value of 3³? =
  9. 9.Write 23,00,000 in standard form as 2.3 × 10ⁿ. What is n?
  10. 10.What is √1600? =
  11. 11.What is the value of 8⁵? =
  12. 12.The total surface area of a cube is 864 square cm. How long is each edge (in cm)?
  13. 13.What is the value of 10⁴ × 10⁻³? =
  14. 14.What is ∛4096? =
  15. 15.Use (a + b)² = a² + 2ab + b² to find 82².
  16. 16.A trapezium has an area of 315 square cm. Its parallel sides are 19 cm and 16 cm. What is the distance between them (in cm)?
  17. 17.Which of these is a perfect cube? (a) 64 (b) 79 (c) 112
  18. 18.Write 7¹⁷ ÷ 7⁹ as a single power 7ⁿ. What is n?
  19. 19.What is ∛10648? =
  20. 20.1.4 × 10⁶ =
  21. 21.What is the value of 4⁻⁴ (as a fraction)? =
  22. 22.What is √7225? =
  23. 23.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.What is 17²? =
  25. 25.What is the value of 9⁵? =
  26. 26.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  27. 27.What is the smallest whole number by which 504 must be divided to get a perfect square?
  28. 28.Write 6³ × 6⁸ as a single power 6ⁿ. What is n?
  29. 29.Solve: 6p + 3 = 2p + 15. What is p?
  30. 30.What is √256? =
  31. 31.A scooter is worth ₹31200. Its value falls by 5% every year. What will it be worth after 2 years (in ₹)?
  32. 32.A town has 55400 people. The population grows by 20% every year. What will the population be after 1 year?
  33. 33.The diagonals of a rhombus are 20 cm and 17 cm. What is its area (in square cm)?
  34. 34.A father is 30 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?
  35. 35.A trapezium has parallel sides of 18 cm and 2 cm, and the distance between them is 11 cm. What is its area (in square cm)?
  36. 36.What is 5³? =
  37. 37.Solve: x/5 + x/2 = 7. What is x?
  38. 38.How many whole numbers lie between 25² and 26²?
  39. 39.A cuboid is 10 cm long, 9 cm wide and 5 cm high. What is its total surface area (in square cm)?
  40. 40.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?

Answer key

  1. 55
  2. 1/128
  3. 11
  4. 2197
  5. 104
  6. 3
  7. 7
  8. 27
  9. 6
  10. 40
  11. 32768
  12. 12
  13. 10
  14. 16
  15. 6724
  16. 18
  17. 64
  18. 8
  19. 22
  20. 1400000
  21. 1/256
  22. 85
  23. 27
  24. 289
  25. 59049
  26. 2
  27. 14
  28. 11
  29. 3
  30. 16
  31. 28158
  32. 66480
  33. 170
  34. 5
  35. 110
  36. 125
  37. 10
  38. 50
  39. 370
  40. 3

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