Counting with a Venn diagram
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The teaching part (1 min) is free to watch. A free account opens the whole lecture: 1 worked example, 7 practice questions, 1 real past-paper question with the answer explained, the mistakes that lose marks, the full-marks tip, a one-card summary and a quick quiz.
What this lecture covers
- A survey of forty
- What the numbers mean
Read the transcript of the teaching part
Last time
Before we start: last time, in The four operations and negative numbers, you learned these points. Here they are again on one card. Keep them in mind, because today builds on them.
A survey of forty
A class of forty students were asked: do you like pizza, pasta, both, or neither? The answers overlap, so just adding them up would count some students twice. A Venn diagram fixes that. Every student is counted once, in exactly one region.
What the numbers mean
The number given for a set counts the whole circle, including the overlap. So twenty-four like pizza means the pizza only region plus the both region add to twenty-four. The key formula adds the two circles and takes away the overlap, which was counted twice.
How often it comes up
How often Cambridge has asked each part, counted by ExamYard from every past paper in its question bank: Counting with a Venn diagram.
The whole chapter: Sets, Statistical Diagrams.
Chapter 2: Sets
- Set notation and two-set Venn diagrams 5 min
- Three-set Venn diagrams and shading regions 5 min
- Counting with a Venn diagram 5 min
Also for IGCSE Maths 0580
Which topics come up most in IGCSE Maths 0580 past papers, counted from every paper since 2004.