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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 973 · 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 father is 14 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  2. 2.A town has 18000 people. The population grows by 10% every year. What will the population be after 3 years?
  3. 3.Use (a + b)(a − b) = a² − b² to find 93 × 87.
  4. 4.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  5. 5.Write 8⁶ × 8⁹ as a single power 8ⁿ. What is n?
  6. 6.Write 1.9 × 10⁻⁴ as a decimal. =
  7. 7.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  8. 8.Write 1.6 × 10⁻¹ as a decimal. =
  9. 9.Use (a + b)(a − b) = a² − b² to find 71 × 69.
  10. 10.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  11. 11.The length of a rectangle is 5 cm more than its width. Its perimeter is 102 cm. What is its width (in cm)?
  12. 12.If a − b = 7 and ab = 30, what is a² + b²?
  13. 13.A trapezium has parallel sides of 7 cm and 6 cm, and the distance between them is 20 cm. What is its area (in square cm)?
  14. 14.What is √324? =
  15. 15.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.The length of a rectangle is 15 cm more than its width. Its perimeter is 138 cm. What is its width (in cm)?
  17. 17.What is 29²? =
  18. 18.What is the smallest whole number by which 98 must be divided to get a perfect square?
  19. 19.A scooter is worth ₹49800. Its value falls by 15% every year. What will it be worth after 1 year (in ₹)?
  20. 20.Which of these is a perfect square? (a) 846 (b) 878 (c) 841
  21. 21.Solve: 3(y − 3) = y + 23. What is y?
  22. 22.Write (3³)² as a single power 3ⁿ. What is n?
  23. 23.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  24. 24.Solve: 3(t − 2) = 2t + 7. What is t?
  25. 25.What is the value of 3³ × 3⁻⁴? =
  26. 26.The sum of three consecutive whole numbers is 162. What is the smallest of them?
  27. 27.A trapezium has an area of 228 square cm. Its parallel sides are 16 cm and 22 cm. What is the distance between them (in cm)?
  28. 28.The length of a rectangle is 1 cm more than its width. Its perimeter is 78 cm. What is its width (in cm)?
  29. 29.What is 67²? =
  30. 30.What is the value of 2¹ × 2⁻²? =
  31. 31.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  32. 32.What is the value of 10⁵ × 10⁻⁶? =
  33. 33.What amount will ₹58100 grow to in 1 year at 5% per year compound interest (in ₹)?
  34. 34.A cuboid is 7 cm long, 10 cm wide and 2 cm high. What is its total surface area (in square cm)?
  35. 35.Solve: 4(y − 2) = y + 28. What is y?
  36. 36.Solve: 5t + 9 = 4t + 21. What is t?
  37. 37.If a + b = 3 and ab = 2, what is a² + b²?
  38. 38.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  39. 39.Solve: 7p + 5 = 3p + 65. What is p?
  40. 40.Use (a − b)² = a² − 2ab + b² to find 86².

Answer key

  1. 6
  2. 23958
  3. 8091
  4. 25
  5. 15
  6. 0.00019
  7. 19
  8. 0.16
  9. 4899
  10. 3
  11. 23
  12. 109
  13. 130
  14. 18
  15. 125
  16. 27
  17. 841
  18. 2
  19. 42330
  20. 841
  21. 16
  22. 6
  23. 2
  24. 13
  25. 1/3
  26. 53
  27. 12
  28. 19
  29. 4489
  30. 1/2
  31. 2
  32. 1/10
  33. 61005
  34. 208
  35. 12
  36. 12
  37. 5
  38. 10
  39. 15
  40. 7396

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