\begin{center}\begin{large}Always sometimes never\end{large}\end{center}

Statements that people make can generally be grouped into three different categories:

\begin{itemize}
    \item Statement that are \textbf{ALWAYS} true;
    \item Statement that are \textbf{SOMETIMES} true; and
    \item Statement that are \textbf{NEVER} true.
\end{itemize}

The statement: ``A number that is divisible by $4$ is also divisible by $2$'' is \textbf{ALWAYS} true because $2$ is a factor of $4$.

The statement: ``A number that is divisible by $9$ is also divisible by $6$'' is \textbf{SOMETIMES} true. For example, $36$ is divisible by $9$ and by $6$, but $27$ is divisible by $9$, but not divisible by $6$.

The statement: ``The sum of two odd numbers is odd'' is \textbf{NEVER} true because the sum of two odd numbers is always even.

\begin{enumerate}
	\item For each statement, indicate if it is \textbf{always true}, \textbf{sometimes true} or \textbf{never true}.
	
	\begin{enumerate}
		\item A $14$-year old girl was at least once in her life half her current height.
		\item A $14$-year old girl is taller than a $10$-year old girl.
	\end{enumerate}
	
	\item For each statement, indicate if it is \textbf{always true}, \textbf{sometimes true} or \textbf{never true}.
	
	\begin{enumerate}
		\item When a whole number is multiplied by itself the answer is even.
		\item Doubling a whole number produces an even number.
		\item Halving an odd whole number produces a whole number.
		\item $3x + 1 = \dfrac{6x + 2}{2}$.
		\item \includegraphics[width=5cm]{PISA/2022/PISA_2022_Mathematics_items_Exo3_IMG1.jpg} The perimeter of figure A is greater than the perimeter of figure B.
		\item If a coin is flipped $50$ times it will land heads up $25$ times.
	\end{enumerate}
	
	\item Each of the following statement is \textbf{SOMETIMES TRUE}.
	
	For each statement provide an example of when the statement is true and when the statement is not true.
	
	\begin{enumerate}
		\item The person with the largest number of coins has the largeset amount of money.
		\item $A - B = B - A$.
		\item If you add the same number to the numerator (top) and the denominator (bottom) of a fraction, the fraction value increases.
	\end{enumerate}
\end{enumerate}
