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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 617 · 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.Solve: 5(p − 2) = 2p + 2. What is p?
  2. 2.The total surface area of a cube is 726 square cm. How long is each edge (in cm)?
  3. 3.Use (a + b)(a − b) = a² − b² to find 84 × 76.
  4. 4.A town has 38300 people. The population grows by 8% every year. What will the population be after 1 year?
  5. 5.Write 5.3 × 10⁻¹ as a decimal. =
  6. 6.Find the value of x² − y² when x = 13 and y = 11.
  7. 7.What amount will ₹2900 grow to in 1 year at 20% per year compound interest (in ₹)?
  8. 8.Write 4.3 × 10⁻⁴ as a decimal. =
  9. 9.A square garden has an area of 2209 square m. How long is each side (in m)?
  10. 10.A square garden has an area of 225 square m. How long is each side (in m)?
  11. 11.Use (a − b)² = a² − 2ab + b² to find 48².
  12. 12.The total surface area of a cube is 600 square cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  14. 14.The length of a rectangle is 8 cm more than its width. Its perimeter is 80 cm. What is its width (in cm)?
  15. 15.If a − b = 6 and ab = 27, what is a² + b²?
  16. 16.A square garden has an area of 100 square m. How long is each side (in m)?
  17. 17.Each edge of a cube is 13 cm. What is its total surface area (in square cm)?
  18. 18.Each edge of a cube is 14 cm. What is its total surface area (in square cm)?
  19. 19.The length of a rectangle is 4 cm more than its width. Its perimeter is 32 cm. What is its width (in cm)?
  20. 20.A cuboid is 6 cm long, 2 cm wide and 8 cm high. What is its total surface area (in square cm)?
  21. 21.Find the value of x² − y² when x = 6 and y = 2.
  22. 22.The diagonals of a rhombus are 12 cm and 27 cm. What is its area (in square cm)?
  23. 23.The length of a rectangle is 3 cm more than its width. Its perimeter is 14 cm. What is its width (in cm)?
  24. 24.What is 96²? =
  25. 25.How many whole numbers lie between 27² and 28²?
  26. 26.Each edge of a cube is 21 cm. What is its total surface area (in square cm)?
  27. 27.Use (a − b)² = a² − 2ab + b² to find 75².
  28. 28.What is the value of 2⁷? =
  29. 29.Which of these is a perfect cube? (a) 2744 (b) 2979 (c) 2878
  30. 30.If a − b = 8 and ab = 20, what is a² + b²?
  31. 31.A father is 34 years older than his son. In 6 years, the father will be three times as old as his son. How old is the son now?
  32. 32.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  33. 33.What is √625? =
  34. 34.Which of these is a perfect square? (a) 225 (b) 229 (c) 232
  35. 35.What is the value of 2⁵? =
  36. 36.What amount will ₹45000 grow to in 2 years at 12% per year compound interest (in ₹)?
  37. 37.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.A father is 6 years older than his son. In 3 years, the father will be twice as old as his son. How old is the son now?
  39. 39.Find the value of x² − y² when x = 14 and y = 3.
  40. 40.What is 11³? =

Answer key

  1. 4
  2. 11
  3. 6384
  4. 41364
  5. 0.53
  6. 48
  7. 3480
  8. 0.00043
  9. 47
  10. 15
  11. 2304
  12. 10
  13. 5
  14. 16
  15. 90
  16. 10
  17. 1014
  18. 1176
  19. 6
  20. 152
  21. 32
  22. 162
  23. 2
  24. 9216
  25. 54
  26. 2646
  27. 5625
  28. 128
  29. 2744
  30. 104
  31. 11
  32. 12
  33. 25
  34. 225
  35. 32
  36. 56448
  37. 27
  38. 3
  39. 187
  40. 1331

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