Waffle Sharing

Difficulty:
higher
Rating:
5-stars
GCSE Marks:
4-marks

GCSE Text:
A family of 2 adults and 3 children need to share 3 waffles between them.

a)  What fraction of a waffle will each person receive if the waffles are shared equally between 5?

b)  The three children insist that their portion is provided in a single piece of waffle (no cuts). What will be the size of the reflex angle at the centre of each waffle for them to receive the correct amount in a single piece?

c)  The waffles each measure 9cm in diameter. What area of waffle does each person receive? Give your answer rounded to 1 d.p.

Suggestions:
This question works well as a consolidate to work on sectors of circles. Often the second question confuses students, so getting them to sketch a waffle generally helps to visualise what is being asked and clarifies the presence of a reflex and obtuse angle when cutting.  Students take 3-4 minutes to answer this question in full.

Teachers could extend the learning by considering:

  • The thickness of each waffle is 3mm, and 20% of each waffle is made from caramel filling. What volume of caramel will each person receive in their share?