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PSLE Foundation Mathematics

<p>The Number Line</p>
<figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/converted/1760777236067-bvb4a4kmsaf.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvY29udmVydGVkLzE3NjA3NzcyMzYwNjctYnZiNGE0a21zYWYucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzU1OTE0MCwiZXhwIjoxNzkzNTU5NDQwfQ.yNY-Fbn8eBpjIp5h7ZVffNfURE4gzjDaHGqrDdYelwI" width="400" class="aligncenter" /></figure>
<p>Mark the following numbers on the number line:</p>
<p>$4$, $-6$, $-3$, $\frac{5}{7}$, $3\frac{1}{2}$, $-\frac{3}{4}$, $\pi$, $1.\dot{3}$</p>

Mark the following numbers on the number line:

$4$, $-6$, $-3$, $\frac{5}{7}$, $3\frac{1}{2}$, $-\frac{3}{4}$, $\pi$, $1.\dot{3}$

Ordering Real Numbers and the Number Line

Negative and Positive Numbers

Real Numbers

<p>Without using a calculator, determine whether $\frac{333}{3333}$ or $\frac{3333}{33\ 333}$ is smaller.</p>

Without using a calculator, determine whether $\frac{333}{3333}$ or $\frac{3333}{33\ 333}$ is smaller.

Combined Operations of Numbers

<p>Construct a number line and use dots to represent the following numbers.</p>
<p style="text-align: center">\[-\pi, -10, 5.71, 8.5, -2\frac{2}{5}, \sqrt{41}\]</p>

Construct a number line and use dots to represent the following numbers.

$$-\pi, -10, 5.71, 8.5, -2\frac{2}{5}, \sqrt{41}$$

Real Numbers - General

<p>Construct a number line and use dots to represent</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">all integers more than $-4\frac{1}{2}$ and at most $8$,</span></div></li><li><div class="list-item-content"><span class="list-item-text">all negative integers at least $-13$ and less than $-1$,</span></div></li><li><div class="list-item-content"><span class="list-item-text">all prime numbers more than $2$ and less than $20$.</span></div></li></ol>

Construct a number line and use dots to represent

all integers more than $-4\frac{1}{2}$ and at most $8$,

all negative integers at least $-13$ and less than $-1$,

all prime numbers more than $2$ and less than $20$.

Prime Numbers and Composite Numbers

Primes, HCF and LCM

<p>Use a number line to illustrate the numbers $-2$, $-\frac{3}{13}$, $-6$, $5$ and $6.42$.</p>

Use a number line to illustrate the numbers $-2$, $-\frac{3}{13}$, $-6$, $5$ and $6.42$.

Plotting Integers, Fractions, and Decimals on a Number Line

<p>Use a number line to illustrate the numbers $-0.6$, $1\frac{2}{3}$, $-5\frac{1}{8}$, $0$ and $-9$.</p>

Use a number line to illustrate the numbers $-0.6$, $1\frac{2}{3}$, $-5\frac{1}{8}$, $0$ and $-9$.

Illustrating Decimals and Mixed Numbers on a Number Line

<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/converted/1760777288662-t0uxelf6jur.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvY29udmVydGVkLzE3NjA3NzcyODg2NjItdDB1eGVsZjZqdXIucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzU1OTE0MCwiZXhwIjoxNzkzNTU5NDQwfQ.ZZ2ST-2Crgji1pnHZ0kfbGSHWKqnWuk_cevJEep2BBw" style="max-width: min(400px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>
<p>Mark the following numbers on the number line:</p>
<p>$-\frac{1}{2}$, $3$, $-5$, $\frac{4}{7}$, $ 5.\dot{9}$, $-7\frac{2}{3}$, $6$</p>

$-\frac{1}{2}$, $3$, $-5$, $\frac{4}{7}$, $ 5.\dot{9}$, $-7\frac{2}{3}$, $6$

Plotting Mixed Numbers and Decimals on a Number Line

<p style="text-align: center">$\frac{\sqrt{3}}{2}$ $\frac{\pi }{4}$ $33.3\%$ $\frac{21}{34}$</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Write the following numbers in order of size, starting with the smallest</div><p style="text-align: right;">[2]</p></li><li><div class="list-item-paragraph">Write down the irrational number(s).</div><p style="text-align: right;">[1]</p></li></ol>

$\frac{\sqrt{3}}{2}$ $\frac{\pi }{4}$ $33.3\%$ $\frac{21}{34}$

Classifying Real Numbers

2023 ACSBR EM S1 EOY P1 Q10

<p>Find, in its simplest form, the fraction which is exactly halfway between $\frac{3}{11}$ and $0.\dot{4}$.</p>

Find, in its simplest form, the fraction which is exactly halfway between $\frac{3}{11}$ and $0.\dot{4}$.

Fractions and Recurring Decimals

Finding a Fraction Exactly Halfway Between Two Numbers

<p>Arrange the following numbers in descending order.</p>
<p>$-0.37,\mathrm{ }-0.373,\mathrm{ }-0.3\dot{7},\mathrm{ }-\frac{16}{42},\mathrm{ }-0.\dot{3}7\dot{3}$</p>

Arrange the following numbers in descending order.

$-0.37,\mathrm{ }-0.373,\mathrm{ }-0.3\dot{7},\mathrm{ }-\frac{16}{42},\mathrm{ }-0.\dot{3}7\dot{3}$

Comparing and Ordering Negative Decimal and Fractional Numbers

<p>Arrange the following numbers in descending order.</p>
<p>$5.1\dot{6},\mathrm{ }-5\frac{1}{6},\mathrm{ }-5.2,\mathrm{ }\frac{26}{5},\mathrm{ }-5.1\dot{6}\dot{7}$</p>

$5.1\dot{6},\mathrm{ }-5\frac{1}{6},\mathrm{ }-5.2,\mathrm{ }\frac{26}{5},\mathrm{ }-5.1\dot{6}\dot{7}$

Ordering Rational Numbers in Descending Order

<p>Arrange the following numbers in ascending order.</p>
<p>$\begin{matrix}
   99\%, & -0.99, & \frac{9}{10}, & 0.\dot{9}, & -\frac{999}{1000}  \\
\end{matrix}$</p>

Arrange the following numbers in ascending order.

$\begin{matrix}
   99\%, & -0.99, & \frac{9}{10}, & 0.\dot{9}, & -\frac{999}{1000}  \\
\end{matrix}$

Ordering Rational Numbers in Ascending Order

<p>A list of numbers is given below.</p>
<p style="text-align: center">${{0.9}^{2}}\mathrm{, }\sqrt{0.81},\mathrm{ }\frac{9}{11},\mathrm{ }-0.\dot{9},\mathrm{ }\sqrt[3]{0.9},\mathrm{ }\frac{3\pi }{10}$.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">Write down all the rational numbers.</div></li><li><div class="list-item-paragraph">Arrange the numbers in ascending order.</div></li></ol>

${{0.9}^{2}}\mathrm{, }\sqrt{0.81},\mathrm{ }\frac{9}{11},\mathrm{ }-0.\dot{9},\mathrm{ }\sqrt[3]{0.9},\mathrm{ }\frac{3\pi }{10}$.

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