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P6 Maths Cheat Sheet

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The short version

Every formula and rule a P6 child needs: 36 of them across 8 topics, on 4 A4 pages to print free. The PSLE paper gives no formula list, so your child has to know each one by heart.

$P6 Maths Cheat Sheet, page 1 of 4: formulas for fractions, ratio and percentage$

Every P6 maths formula, by topic

Fractions

Term 1Fractions guide

Rule	Example
Fraction ÷ whole number: share it out	$\frac{3}{4} \div 2 =$ $\frac{3}{8}$ See it drawn
Whole ÷ fraction: how many fit?	$2 \div \frac{2}{3} =$ $3$ See it drawn
÷ a fraction: Keep, Change, Flip	$\frac{3}{4} \div \frac{3}{8} =$ $\frac{3}{4} \times \frac{8}{3} =$ $2$

Ratio

Term 1Ratio guide

Rule	Example
Share $84 in the ratio 3 : 4. Find 1 unit first.	1 unit → $84 \div 7 =$ $\text{\textdollar}12$ A → $3 \times 12 =$ $\text{\textdollar}36$ B → $4 \times 12 =$ $\text{\textdollar}48$ See it drawn
Boys : girls = 3 : 5	boys as a fraction of girls → $3 \div 5 =$ $\frac{3}{5}$ boys as a fraction of all → $3 \div 8 =$ $\frac{3}{8}$ See it drawn
Simplest form: ÷ every term by the same number	$12 : 18 =$ $12 \div 6 : 18 \div 6 =$ $2 : 3$ $12 : 18 : 24 =$ $2 : 3 : 4$
Equivalent ratios: × or ÷ every term by the same number	$2 : 5 =$ $2 \times 3 : 5 \times 3 =$ $6 : 15$ 3 : 4 = ? : 20 → $3 \times (20 \div 4) =$ $15$

Percentage

Term 1Percentage guide

Rule	Example
30% is $45: find 10%, then 100%	10% → $45 \div 3 =$ $\text{\textdollar}15$ 100% → $15 \times 10 =$ $\text{\textdollar}150$ See it drawn
Percentage change $\text{change} \div \text{original} \times 100\%$	$40 to $50 → $10 \div 40 \times 100\% =$ $25\%$ $50 to $40 → $10 \div 50 \times 100\% =$ $20\%$ See it drawn

Algebra

Term 2Algebra guide

Rule	Example
A letter stands for an unknown number $3a = 3 \times a, \quad \frac{a}{3} = a \div 3$	See it drawn
Solve 2x + 5 = 17: undo each step, then check	2x → $17 - 5 =$ $12$ x → $12 \div 2 =$ $6$ check → $2 \times 6 + 5 =$ $17$ See it drawn
Add or take away like terms only $5a + 2 - 2a + 4 = 3a + 6$
Substitute a = 4 into 3a + 6	$3 \times 4 + 6 =$ $18$

Angles in Geometrical Figures

Term 1 · revisionAngles in Geometrical Figures guide

Rule	Example
Angles in a triangle $a + b + c = 180\degree$	See it drawn
Angles on a straight line $a + b = 180\degree$	See it drawn
Angles at a point $a + b + c = 360\degree$	See it drawn
Vertically opposite angles are equal	See it drawn
Isosceles triangle: 2 equal sides, 2 equal base angles	See it drawn
Equilateral triangle: every angle is 60°	$180 \div 3 =$ $60\degree$ See it drawn
Angles in a quadrilateral $a + b + c + d = 360\degree$	See it drawn
Parallelogram, rhombus: opposite angles are equal $a + b = 180\degree$	See it drawn
Trapezium: the angles between parallel sides $a + b = 180\degree$	See it drawn

Circles

Term 2π =

\frac{22}{7}

Circles guide

Rule	Example
Diameter and radius $d = 2r$	See it drawn
Circumference: the distance around $C = \pi d = 2\pi r$	$2 \times \pi \times 7 =$ $44\,\text{cm}$ See it drawn
Area of a circle $A = \pi r^{2}$	$\pi \times 7 \times 7 =$ $154\,\text{cm}^{2}$ See it drawn
Half circle: perimeter $\tfrac{1}{2}\pi d + d$	$\frac{1}{2} \times \pi \times 14 + 14 =$ $36\,\text{cm}$ See it drawn
Quarter circle: perimeter $\tfrac{1}{2}\pi r + 2r$	$\frac{1}{2} \times \pi \times 7 + 2 \times 7 =$ $25\,\text{cm}$ See it drawn
Half or quarter circle: area $\tfrac{1}{2}\pi r^{2} \text{ or } \tfrac{1}{4}\pi r^{2}$	$\frac{1}{4} \times \pi \times 14^{2} =$ $154\,\text{cm}^{2}$ See it drawn
Composite figuresArea: add or take away. Perimeter: the outside edge only.	square − quarter circle → $14 \times 14 - 154 =$ $42\,\text{cm}^{2}$ See it drawn

Volume of Cube and Cuboid

Term 2Volume of Cube and Cuboid guide

Rule	Example
Volume of a cuboid $V = l \times b \times h$ a cube: edge × edge × edge	See it drawn
Height of a cuboid $h = V \div \text{base area}$	360 cm³, base 40 cm² → $360 \div 40 =$ $9\,\text{cm}$ See it drawn
Area of a face $A = V \div h$	480 cm³, h = 6 cm → $480 \div 6 =$ $80\,\text{cm}^{2}$ See it drawn
Edge of a cube $\text{edge} = \sqrt[3]{V}$	343 cm³ → $\sqrt[3]{343} =$ $7\,\text{cm}$ See it drawn
Square root and cube root√ undoes squaring; ∛ undoes cubing	$\sqrt{64} =$ $8$ $\sqrt[3]{64} =$ $4$

Average

Term 3Average guide

Rule	Example
Average $\text{total} \div \text{number}$	$(12 + 15 + 18) \div 3 =$ $15$ See it drawn
Total from the average $\text{average} \times \text{number}$	3 numbers, average 14 → $14 \times 3 =$ $42$ See it drawn

P6 maths revision notes, topic by topic

Fractions

Term 1

Fraction ÷ whole number: share it out $\frac{3}{4} \div 2 =$ $\frac{3}{8}$
Whole ÷ fraction: how many fit? $2 \div \frac{2}{3} =$ $3$
÷ a fraction: Keep, Change, Flip $\frac{3}{4} \div \frac{3}{8} =$ $\frac{3}{4} \times \frac{8}{3} =$ $2$

Ratio

Term 1

Share $84 in the ratio 3 : 4. Find 1 unit first.1 unit → $84 \div 7 =$ $\text{\textdollar}12$ A → $3 \times 12 =$ $\text{\textdollar}36$ B → $4 \times 12 =$ $\text{\textdollar}48$
Boys : girls = 3 : 5boys as a fraction of girls → $3 \div 5 =$ $\frac{3}{5}$ boys as a fraction of all → $3 \div 8 =$ $\frac{3}{8}$
Simplest form: ÷ every term by the same number $12 : 18 =$ $12 \div 6 : 18 \div 6 =$ $2 : 3$ $12 : 18 : 24 =$ $2 : 3 : 4$
Equivalent ratios: × or ÷ every term by the same number $2 : 5 =$ $2 \times 3 : 5 \times 3 =$ $6 : 15$ 3 : 4 = ? : 20 → $3 \times (20 \div 4) =$ $15$

Percentage

Term 1

30% is $45: find 10%, then 100%10% → $45 \div 3 =$ $\text{\textdollar}15$ 100% → $15 \times 10 =$ $\text{\textdollar}150$
Percentage change $\text{change} \div \text{original} \times 100\%$ Example$40 to $50 → $10 \div 40 \times 100\% =$ $25\%$ $50 to $40 → $10 \div 50 \times 100\% =$ $20\%$

Algebra

Term 2

A letter stands for an unknown number $3a = 3 \times a, \quad \frac{a}{3} = a \div 3$
Solve 2x + 5 = 17: undo each step, then check2x → $17 - 5 =$ $12$ x → $12 \div 2 =$ $6$ check → $2 \times 6 + 5 =$ $17$
Add or take away like terms only $5a + 2 - 2a + 4 = 3a + 6$
Substitute a = 4 into 3a + 6 $3 \times 4 + 6 =$ $18$

Angles in Geometrical Figures

Term 1 · revision

Angles in a triangle $a + b + c = 180\degree$
Angles on a straight line $a + b = 180\degree$
Angles at a point $a + b + c = 360\degree$
Vertically opposite angles are equal
Isosceles triangle: 2 equal sides, 2 equal base angles
Equilateral triangle: every angle is 60° $180 \div 3 =$ $60\degree$
Angles in a quadrilateral $a + b + c + d = 360\degree$
Parallelogram, rhombus: opposite angles are equal $a + b = 180\degree$
Trapezium: the angles between parallel sides $a + b = 180\degree$

Circles

Term 2

\frac{22}{7}

Diameter and radius $d = 2r$
Circumference: the distance around $C = \pi d = 2\pi r$ Example $2 \times \pi \times 7 =$ $44\,\text{cm}$
Area of a circle $A = \pi r^{2}$ Example $\pi \times 7 \times 7 =$ $154\,\text{cm}^{2}$
Half circle: perimeter $\tfrac{1}{2}\pi d + d$ Example $\frac{1}{2} \times \pi \times 14 + 14 =$ $36\,\text{cm}$
Quarter circle: perimeter $\tfrac{1}{2}\pi r + 2r$ Example $\frac{1}{2} \times \pi \times 7 + 2 \times 7 =$ $25\,\text{cm}$
Half or quarter circle: area $\tfrac{1}{2}\pi r^{2} \text{ or } \tfrac{1}{4}\pi r^{2}$ Example $\frac{1}{4} \times \pi \times 14^{2} =$ $154\,\text{cm}^{2}$
Composite figuresArea: add or take away. Perimeter: the outside edge only.square − quarter circle → $14 \times 14 - 154 =$ $42\,\text{cm}^{2}$

Volume of Cube and Cuboid

Term 2

Volume of a cuboid $V = l \times b \times h$ a cube: edge × edge × edge
Height of a cuboid $h = V \div \text{base area}$ Example360 cm³, base 40 cm² → $360 \div 40 =$ $9\,\text{cm}$
Area of a face $A = V \div h$ Example480 cm³, h = 6 cm → $480 \div 6 =$ $80\,\text{cm}^{2}$
Edge of a cube $\text{edge} = \sqrt[3]{V}$ Example343 cm³ → $\sqrt[3]{343} =$ $7\,\text{cm}$
Square root and cube root√ undoes squaring; ∛ undoes cubing $\sqrt{64} =$ $8$ $\sqrt[3]{64} =$ $4$

Average

Term 3

Average $\text{total} \div \text{number}$ Example $(12 + 15 + 18) \div 3 =$ $15$
Total from the average $\text{average} \times \text{number}$ Example3 numbers, average 14 → $14 \times 3 =$ $42$

$P5 Maths Cheat Sheet, page 1 of 6: formulas for whole numbers and four operations; and fractions and division$

The PSLE tests P5 topics too

The P5 sheet holds 48 more formulas and rules, across its 12 topics, on 6 A4 pages.

P5 Maths Cheat Sheet

P4 Maths Cheat Sheet, page 1 of 7: formulas for numbers to 100 000; and factors and multiples

The P4 Maths Cheat Sheet

The P4 sheet holds 48 more formulas and rules, across its 12 topics, on 7 A4 pages.

P4 Maths Cheat Sheet

P3 Maths Cheat Sheet, page 1 of 8: formulas for numbers to 10 000

The P3 Maths Cheat Sheet

The P3 sheet holds 45 more formulas and rules, across its 10 topics, on 8 A4 pages.

P3 Maths Cheat Sheet

The sheet

All 4 pages, full size

The PDF prints sharp on A4. Each page is also an image you can save or send.

$P6 Maths Cheat Sheet, page 1 of 4: formulas for fractions, ratio and percentage$
P6 Maths Cheat Sheet, page 1 of 4: formulas for fractions, ratio and percentage
P6 Maths Cheat Sheet, page 2 of 4: formulas for algebra and angles in geometrical figures
P6 Maths Cheat Sheet, page 3 of 4: formulas for circles; and volume of cube and cuboid
P6 Maths Cheat Sheet, page 4 of 4: formulas for average, problem-sum methods, exam rules and units

Download the free PDF4 A4 pages · PDF, 734 KB

Knowing the formula is half of it

The other half is spotting which one a question needs. StudyLah gives your child P6 questions on these topics, and Lah walks through each one step by step. Free: one Daily Practice and one Topic Drill every day, and one exam paper a month.

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Questions

Questions parents ask

What maths formulas does a P6 child need to know?

The 36 formulas and rules on this sheet, across fractions; ratio; percentage; angles in geometrical figures; circles; volume of cube and cuboid; algebra; and average. It also shows how to spot 6 problem-sum methods. The PSLE tests the P5 formulas too, on the P5 sheet.

P5 Maths Cheat Sheet

What topics are in P6 maths?

8 topics, in the order schools teach them: fractions; ratio; percentage; angles in geometrical figures; circles; volume of cube and cuboid; algebra; and average.

Primary 6 maths syllabus

Keep going

Sources: Ministry of Education, Singapore, Primary Mathematics Syllabus (Standard), updated October 2025. Singapore Examinations and Assessment Board, PSLE Mathematics (0008), for examination from 2026.

Updated 22 October 2026

Practise every topic on the P6 sheet

Free for every P6 child. Lah walks through each question.

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