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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 957 · 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 cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  2. 2.What amount will ₹41300 grow to in 1 year at 15% per year compound interest (in ₹)?
  3. 3.A father is 19 years older than his son. In 8 years, the father will be twice as old as his son. How old is the son now?
  4. 4.What is 6³? =
  5. 5.Solve: 5(p − 1) = p + 27. What is p?
  6. 6.The diagonals of a rhombus are 24 cm and 12 cm. What is its area (in square cm)?
  7. 7.Find the value of x² − 2xy + y² when x = 6 and y = 1.
  8. 8.Use (a + b)² = a² + 2ab + b² to find 59².
  9. 9.A square garden has an area of 3600 square m. How long is each side (in m)?
  10. 10.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  11. 11.If a + b = 21 and ab = 110, what is a² + b²?
  12. 12.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  13. 13.The sum of two consecutive whole numbers is 119. What is the smallest of them?
  14. 14.Which of these is a perfect cube? (a) 143 (b) 125 (c) 155
  15. 15.Find the compound interest on ₹56400 at 4% per year for 1 year, compounded every year (in ₹).
  16. 16.What is the smallest whole number by which 468 must be divided to get a perfect square?
  17. 17.Use (a + b)² = a² + 2ab + b² to find 31².
  18. 18.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect square? (a) 125 (b) 121 (c) 124
  20. 20.What is the value of 5² × 5⁻⁴? =
  21. 21.What amount will ₹40300 grow to in 1 year at 25% per year compound interest (in ₹)?
  22. 22.Use (a − b)² = a² − 2ab + b² to find 77².
  23. 23.A trapezium has parallel sides of 14 cm and 10 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  24. 24.What is the difference between the compound interest and the simple interest on ₹57000 at 10% per year for 2 years (in ₹)?
  25. 25.Each edge of a cube is 11 cm. What is its total surface area (in square cm)?
  26. 26.Use (a − b)² = a² − 2ab + b² to find 17².
  27. 27.2 × 10³ =
  28. 28.A trapezium has an area of 285 square cm. Its parallel sides are 8 cm and 22 cm. What is the distance between them (in cm)?
  29. 29.Solve: 3(m − 5) = m + 1. What is m?
  30. 30.Write 8.6 × 10⁻³ as a decimal. =
  31. 31.What is the sum of the first 21 odd numbers (1 + 3 + 5 + …)?
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.Solve: 3p + 8 = 2p + 9. What is p?
  34. 34.What is ∛8? =
  35. 35.A trapezium has parallel sides of 16 cm and 11 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  36. 36.Write (8³)⁵ as a single power 8ⁿ. What is n?
  37. 37.Solve: t/2 + t/4 = 21. What is t?
  38. 38.Solve: 8m + 18 = 2m + 60. What is m?
  39. 39.What is the difference between the compound interest and the simple interest on ₹6200 at 10% per year for 2 years (in ₹)?
  40. 40.What is √529? =

Answer key

  1. 6
  2. 47495
  3. 11
  4. 216
  5. 8
  6. 144
  7. 25
  8. 3481
  9. 60
  10. 54
  11. 221
  12. 216
  13. 59
  14. 125
  15. 2256
  16. 13
  17. 961
  18. 19
  19. 121
  20. 1/25
  21. 50375
  22. 5929
  23. 24
  24. 570
  25. 726
  26. 289
  27. 2000
  28. 19
  29. 8
  30. 0.0086
  31. 441
  32. 216
  33. 1
  34. 2
  35. 135
  36. 15
  37. 28
  38. 7
  39. 62
  40. 23

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