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Class 8 Maths Final Test Worksheet

Maths worksheets lesson 64: Class 8 final maths test · Set 220 · 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 amount will ₹17500 grow to in 2 years at 12% per year compound interest (in ₹)?
  2. 2.Solve: x/3 + x/4 = 56. What is x?
  3. 3.Solve: 3(m − 2) = 2m + 2. What is m?
  4. 4.A trapezium has parallel sides of 18 cm and 27 cm, and the distance between them is 2 cm. What is its area (in square cm)?
  5. 5.What is the smallest whole number by which 294 must be multiplied to get a perfect square?
  6. 6.What is the difference between the compound interest and the simple interest on ₹43500 at 20% per year for 2 years (in ₹)?
  7. 7.What amount will ₹16000 grow to in 3 years at 5% per year compound interest (in ₹)?
  8. 8.Which of these is a perfect cube? (a) 85 (b) 78 (c) 64
  9. 9.Use (a − b)² = a² − 2ab + b² to find 82².
  10. 10.What is ∛13824? =
  11. 11.The length of a rectangle is 1 cm more than its width. Its perimeter is 54 cm. What is its width (in cm)?
  12. 12.Find the compound interest on ₹59200 at 25% per year for 3 years, compounded every year (in ₹).
  13. 13.A trapezium has an area of 87 square cm. Its parallel sides are 5 cm and 24 cm. What is the distance between them (in cm)?
  14. 14.What is 96²? =
  15. 15.What is ∛512? =
  16. 16.What is the value of 10⁵ × 10⁻⁵? =
  17. 17.A trapezium has parallel sides of 10 cm and 22 cm, and the distance between them is 9 cm. What is its area (in square cm)?
  18. 18.What is √5476? =
  19. 19.What is ∛10648? =
  20. 20.Use (a + b)² = a² + 2ab + b² to find 35².
  21. 21.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  22. 22.Write 8.7 × 10⁻³ as a decimal. =
  23. 23.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  24. 24.A square garden has an area of 1600 square m. How long is each side (in m)?
  25. 25.Find the compound interest on ₹6200 at 12% per year for 1 year, compounded every year (in ₹).
  26. 26.Use (a − b)² = a² − 2ab + b² to find 67².
  27. 27.Write 7³ × 7⁸ as a single power 7ⁿ. What is n?
  28. 28.Solve: y/5 + y/6 = 22. What is y?
  29. 29.The length of a rectangle is 5 cm more than its width. Its perimeter is 42 cm. What is its width (in cm)?
  30. 30.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.Write 3,000 in standard form as 3 × 10ⁿ. What is n?
  32. 32.What is √1089? =
  33. 33.If a + b = 7 and ab = 12, what is a² + b²?
  34. 34.What is the value of (1/4)⁻¹? =
  35. 35.The diagonals of a rhombus are 28 cm and 15 cm. What is its area (in square cm)?
  36. 36.Solve: p/5 + p/4 = 45. What is p?
  37. 37.Use (a + b)² = a² + 2ab + b² to find 14².
  38. 38.Use (a + b)(a − b) = a² − b² to find 61 × 59.
  39. 39.What amount will ₹21000 grow to in 1 year at 15% per year compound interest (in ₹)?
  40. 40.A trapezium has an area of 55 square cm. Its parallel sides are 9 cm and 13 cm. What is the distance between them (in cm)?

Answer key

  1. 21952
  2. 96
  3. 8
  4. 45
  5. 6
  6. 1740
  7. 18522
  8. 64
  9. 6724
  10. 24
  11. 13
  12. 56425
  13. 6
  14. 9216
  15. 8
  16. 1
  17. 144
  18. 74
  19. 22
  20. 1225
  21. 4
  22. 0.0087
  23. 3
  24. 40
  25. 744
  26. 4489
  27. 11
  28. 60
  29. 8
  30. 125
  31. 3
  32. 33
  33. 25
  34. 4
  35. 210
  36. 100
  37. 196
  38. 3599
  39. 24150
  40. 5

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