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Diploma in Higher Education Studies

Calculating with percentages

HES 102 · Mathematics for University Study — Week 2 of 16

CourseHES 102
Week2 of 16
SemesterI
TutorOnline in the course chat

This week’s topics

Calculating with percentages

  1. Finding a percentage of an amount
  2. Writing one number as a percentage of another
  3. Using a calculator well

What you will be able to do

  • 1.1 Perform calculations involving fractions, decimals and percentages.

Activity

Work out percentages from real shop prices and exam scores.

Study materials

Further resources

  • Prealgebra 2e, 6.2: Solve General Applications of Percent · PDF · OpenStax Prealgebra 2e (2020), 6.2: finding a percent of an amount and one number as a percent of another, pp. 482–488 · for registered students
  • Contemporary Mathematics, 6.1: Understanding Percent · PDF · OpenStax Contemporary Mathematics (2023), 6.1: calculating with percentages, pp. 544–551 · for registered students
  • The Study Skills Handbook, Confidence with numbers: Calculating percentages · PDF · Cottrell, The Study Skills Handbook 5e, bonus chapter, calculating percentages step by step, pp. 228–229 · for registered students
  • The role of metaphors in interpreting students' difficulties in operating with percentages · Open-access article · Giberti et al. (2023), European Journal of Science and Mathematics Education. Why students struggle to calculate with percentages, from national test data. · for registered students
Materials marked “for registered students” open in the student portal, which is set up as soon as you receive final acceptance.
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Course plan
  • Week 1: Fractions, decimals and percentages
  • Week 2: Calculating with percentages
  • Week 3: Percentage increase and decrease
  • Week 4: Percentages in business: profit, mark-up and VAT
  • Week 5: Binary numbers
  • Week 6: Hexadecimal numbers
  • Week 7: Adding binary numbers
  • Midterm: Midterm evaluation
  • Week 9: Using formulae
  • Week 10: Solving equations and rearranging formulae
  • Week 11: Logic gates and truth tables
  • Week 12: Averages and range
  • Week 13: Reading charts and tables
  • Week 14: Solving problems step by step with flowcharts
  • Week 15: Review and coursework completion
  • Final: Final assessment and submission
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