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PSLE

PSLE Foundation Mathematics

<ol class="abc-list"><li data-list-item-id="sec4-em-2025-yckss-p2-q1-b1-i1" data-list-item-path="sec4-em-2025-yckss-p2-q1-b1-i1"><div class="list-item-paragraph">Find all prime numbers satisfying $-5\leq2x-3\leq7$.<span class="inline-marks">[3]</span></div></li><li data-list-item-id="sec4-em-2025-yckss-p2-q1-b1-i2" data-list-item-path="sec4-em-2025-yckss-p2-q1-b1-i2"><div class="list-item-paragraph">Simplify $\dfrac{18c^3d^3}{5f^3}\div\dfrac{3c^5d^2}{10f}$.<span class="inline-marks">[2]</span></div></li><li data-list-item-id="sec4-em-2025-yckss-p2-q1-b1-i3" data-list-item-path="sec4-em-2025-yckss-p2-q1-b1-i3"><div class="list-item-paragraph">Simplify $\left(\dfrac{16y^8}{81x^{12}}\right)^{-\frac34}$.<span class="inline-marks">[2]</span></div></li><li data-list-item-id="sec4-em-2025-yckss-p2-q1-b1-i4" data-list-item-path="sec4-em-2025-yckss-p2-q1-b1-i4"><div class="list-item-paragraph">Write $\dfrac{3x}{(2x-1)^2}-\dfrac2{2x-1}$ as a single fraction in its simplest form.<span class="inline-marks">[2]</span></div></li></ol>

Find all prime numbers satisfying $-5\leq2x-3\leq7$.

Simplify $\dfrac{18c^3d^3}{5f^3}\div\dfrac{3c^5d^2}{10f}$.

Simplify $\left(\dfrac{16y^8}{81x^{12}}\right)^{-\frac34}$.

Write $\dfrac{3x}{(2x-1)^2}-\dfrac2{2x-1}$ as a single fraction in its simplest form.

Multiplication and Division of Algebraic Fractions

Solving Simultaneous Linear Inequalities

Prime Numbers and Composite Numbers

Rational Indices

Addition and Subtraction of Algebraic Fractions

2025 YCKSS PRELIMS P2 Q1

Algebraic Expressions, Identities and Formulae

Indices

Linear Equations and Inequalities

Primes, HCF and LCM

Factorise completely $10ax-5ay+4by-8bx$.

Factorisation by Grouping

Factorisation and algebraic simplification

<p>Simplify $\frac{12mn}{3{{p}^{2}}}\div \frac{{{(3{{n}^{2}})}^{3}}}{{{2}^{3}}{{m}^{2}}p}\times \frac{18{{m}^{2}}{{n}^{4}}}{16m{{n}^{2}}}$.</p>

Simplify $\frac{12mn}{3{{p}^{2}}}\div \frac{{{(3{{n}^{2}})}^{3}}}{{{2}^{3}}{{m}^{2}}p}\times \frac{18{{m}^{2}}{{n}^{4}}}{16m{{n}^{2}}}$.

Algebra: Multiplying and Dividing Variable Fractions

<p>Simplify $\frac{32{{x}^{2}}y}{x}\times \frac{3}{6{{y}^{4}}}$.</p>

Simplify $\frac{32{{x}^{2}}y}{x}\times \frac{3}{6{{y}^{4}}}$.

Simplifying Algebraic Fractions (Multiplication)

<p>Simplify $\frac{3{{a}^{2}}}{7bc}\div \frac{9a}{14b}$.</p>

Simplify $\frac{3{{a}^{2}}}{7bc}\div \frac{9a}{14b}$.

Simplifying Algebraic Fractions (Division)

<p>Simplify $\frac{40{{a}^{2}}{{b}^{3}}c}{15{{a}^{4}}b{{c}^{2}}}$.</p>

Simplify $\frac{40{{a}^{2}}{{b}^{3}}c}{15{{a}^{4}}b{{c}^{2}}}$.

Indices: Cancelling Common Factors

<p>Simplify $\frac{45{{p}^{2}}{{q}^{3}}}{81{{p}^{2}}{{q}^{2}}r}$.</p>

Simplify $\frac{45{{p}^{2}}{{q}^{3}}}{81{{p}^{2}}{{q}^{2}}r}$.

Simplifying Algebraic Fractions with Indices

<p>Simplify the following</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$\frac{5{{a}^{3}}b}{6y{{z}^{2}}}\times \frac{36z}{25{{a}^{2}}{{b}^{3}}}$</div></li><li><div class="list-item-paragraph">$\frac{5{{a}^{3}}{{b}^{2}}}{16xy}\div \frac{80a{{b}^{3}}}{48x{{y}^{2}}}$.</div></li></ol>

Simplifying Algebraic Fractions (Multiplication & Division)

<p>Simplify the following </p>
<ol class="abc-list"><li><div class="list-item-paragraph">$\frac{4{{x}^{2}}y}{15}\times \frac{60y}{{{y}^{2}}}$</div></li><li><div class="list-item-paragraph">$\frac{120f{{g}^{2}}h}{60}\div \frac{3g}{75h}$</div></li></ol>

Simplifying Algebraic Fractions: Multiplying and Dividing

<p>Simplify $\frac{3{{a}^{2}}b{{c}^{3}}}{27a{{b}^{2}}c}$.</p>
<p></p>

Simplify $\frac{3{{a}^{2}}b{{c}^{3}}}{27a{{b}^{2}}c}$.

Algebraic Reduction of Terms with Powers

<p>Simplify $\frac{9{{a}^{2}}{{b}^{5}}}{15a{{b}^{3}}}$.</p>

Simplify $\frac{9{{a}^{2}}{{b}^{5}}}{15a{{b}^{3}}}$.

Algebraic Fraction Reduction

<p>Simplify each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$27x{{y}^{2}}\times \frac{2}{9}xy$</div></li><li><div class="list-item-paragraph">$\frac{3}{4}a\times \left( -\frac{5}{9b} \right)+\frac{a}{6b}$</div></li></ol>

Simplify each of the following expressions.

Simplifying Algebraic Expressions Involving Fractions

<p>Simplify each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$\frac{18{{a}^{2}}b-12{{a}^{2}}b}{-6ab}$</div></li><li><div class="list-item-paragraph">$\frac{x{{y}^{2}}z}{2y{{z}^{2}}}\div \left( -\frac{3{{x}^{2}}}{2y} \right)$</div></li></ol>

Simplifying Algebraic Expressions with Fractions and Division

<p>Simplify $\left( \frac{2ab}{{{a}^{2}}} \right)\times \left( 3{{a}^{4}}b \right)\div \left( \frac{1}{2a{{b}^{3}}} \right)$.</p>

Simplify $\left( \frac{2ab}{{{a}^{2}}} \right)\times \left( 3{{a}^{4}}b \right)\div \left( \frac{1}{2a{{b}^{3}}} \right)$.

IP1U4 4.2 Exercise Q13

<p>Simplify $\frac{{{a}^{3}}b}{4}\div {{\left( -\frac{ab}{2} \right)}^{3}}\times \frac{1}{4}a{{b}^{2}}$.</p>

Simplify $\frac{{{a}^{3}}b}{4}\div {{\left( -\frac{ab}{2} \right)}^{3}}\times \frac{1}{4}a{{b}^{2}}$.

IP1U4 4.2 Exercise Q12

<p>Simplify $\left( 2mn \right)\times \left( 4{{m}^{2}}n \right)\div \left( 12m{{n}^{3}} \right)$.</p>

Simplify $\left( 2mn \right)\times \left( 4{{m}^{2}}n \right)\div \left( 12m{{n}^{3}} \right)$.

IP1U4 4.2 Exercise Q11

<p>Simplify $32{{\left( xy \right)}^{2}}\div \left( 4xz \right)$.</p>

Simplify $32{{\left( xy \right)}^{2}}\div \left( 4xz \right)$.

Math Question Bank