Year 11 Maths - Specialist Number systems and sets

Problems involving sets

ACCOUNT REQUIRED

Unlock all 5 questions & worked solutions

You're viewing a free preview. Create an account to access the complete question set, step-by-step solutions, and progress tracking.

All Questions

Access the full question set for every topic.

Worked Solutions

Step-by-step explanations for every answer.

Track Progress

Mark questions right or wrong and monitor your growth.

It's Free

No credit card required - sign up in under a minute.

Questions

Question 1

30041

In a class of 30 students it is known that 20 had at least one brother and 14 had at least one sister and 4 had neither a brother or a sister. How many have both?

Answer

$8$

Worked Solution

$$
\begin{aligned}
&\text{From the venn diagram}\\
&\begin{aligned}
20-x+x+14-x+4&=30 \\
38-x&=30 \\
\therefore x&=8
\end{aligned}\\
&\therefore\ 8\ \text{had both.}
\end{aligned}$$

📚 Want More Questions?

There are 4 more questions available. Create your free account to access the complete question set with detailed solutions.

Get Full Access Already Have Account?