Unit 2 · Number Theory
Halves · Thirds · Quarters — Who Has Most?
Lesson 11 of 15
About this lesson
Panu counts halves in 2½ → 5. Quinn counts thirds in 2⅓ → 7. Rita counts quarters in 1½ → 6. Order: 5, 6, 7 = Panu, Rita, Quinn. The trick: 'number of unit fractions that fit' is just the mixed number divided by that unit fraction, which simplifies to multiplying by the denominator.
Chapters
Question
Panu, Quinn and Rita each think of a number.
Panu is thinking of the number of halves needed to make 2½
Quinn is thinking of the number of thirds needed to make 2⅓
Rita is thinking of the number of quarters needed to make 1½
What is the order of their numbers from smallest to largest?
Take your OC prep further
- Sample questions & worked solutions across core OC topics
- Digital exam simulator with interactive practice sets
- Personalised progress tracking across all your devices
Already have an account? Log in here
No payment required. Compare OC plans
Give Your Child the Best Chance at OC Entry
Join NSW families preparing their children for the Opportunity Class Placement Test with the most realistic online OC practice tests available. First tests free—no credit card required.
Claim Your Free OC Practice Tests