E-Math Formula List - N-Level Math - 4045 - Formula List - 16 Sep 2017

Oct 13, 2026

Yellow-highlighted formulas correspond to the formula list used in the N-Level math exam paper. The content organizes essential relations for unit conversion, financial mathematics (percentage increase/decrease, simple and compound interest with variables defined), ratios and proportions, speed–distance relationships, indices, coordinate geometry, polygon angle sums, arc length and sector/segment area, and core mensuration formulas for plane figures and 3D solids including cylinders, cones, pyramids, and spheres, plus circle properties for angles.

LanguageEnglish

CategoryPaper Templates

FormatPDF

Pages15

Reading Time5 min

AccessFree to download

Unit Conversion

Financial Math

Ratio and Proportion

Speed and Distance

Indices

Coordinate Geometry

Polygons

Arc Length, Sector and Segment

Mensuration

Circles

Trapezium

Parallelogram

Cylinder

Cone

Pyramid

Sphere

Properties of Circle

*Formulas highlighted in yellow are found in the formula list of the exam paper. | Unit Conversion | | | | --- | --- | --- | | Area
1m2=100cm×100cm =10 000cm 2
Volume
1m3=100cm×100cm×100cm =1 000 000cm3
1 Litre =1000cm3 (since 1mg=1cm3) | 1km2=1000m×1000m =1 000 000m 2 | | | | × | 􀫚􀫙􀫜􀫟 | | | km/h m/s

×
􀫜􀫟􀫚􀫙 | | | Financial Math | | | | | --- | --- | --- | --- | | Percentage Increase
Increase
= Original 􀁵100% | | Percentage Decrease
Decrease 􀁵100%= Original | | | Simple Interest
I 􀀠 P~~ ~~􀁵1R00􀁵~~ ~~T | Compound Interest

􀂧 P 􀀎 I 􀀠 P􀁵 􀂩􀂨 1 􀀎
R 􀂷 n 􀂸
100 􀂹 | | P-Principal ($)
I-Interest Amount ($) R-Interest Rate (%) T-Time (Years)
n-No. of Periods | | Ratio and Proportion | | | | | --- | --- | --- | --- | | Conversion between
Length (Linear) and
Area Ratio.
􀀋 L 􀀌 2
A s 􀀠 s
2
􀀋 􀀌
L A
b b | | Conversion between Length (Linear) and Volume Ratio.
􀀋 Ls 􀀌 3 V 􀀠 s
􀀋 Lb 􀀌 3 Vb
3V L s 􀀠 s 3V L
b b | Ls: Length-smaller object:
Lb: Length-bigger object
As: Area-smaller object
Ab: Area-bigger object
Vs: Volume-smaller object
Vb: Volume-bigger object | | | L 􀀠 s
L
b | | | | To convert Area to Volume & vice versa, first convert to Length.􀂧􀂩􀂨 ~~ ~~AA~~s~~b~~ ~~ 􀂷􀂹􀂸 quare RSquare2 􀂧􀂨􀂩 ~~ ~~LL~~s~~b~~ ~~ 􀂷􀂹 Cubube~~ ~~ 􀂧􀂩 ~~ ~~VV~~s~~b~~ ~~ 􀂷􀂹􀂸 | | | | | Speed and Distance | | --- | | 􀜵􀝌􀝁􀝁􀝀 = ~~ ~~􀜦~~ ~~􀝅􀝏􀜶􀝐􀝅􀜽􀝊􀝉􀝁􀜿􀝁~~ ~~ 􀜣􀜿􀜿􀝁􀝈􀝁􀝎􀜽􀝐􀝅􀝋􀝊 = 􀜨􀝅􀝊􀜽􀝈~~ ~~􀜵􀝌􀝁􀜶􀝁􀝀􀝅􀝉􀝁−􀜶􀜫􀝊􀝅􀜽􀝇􀝐􀝁􀝅􀜽􀝊􀝈~~ ~~􀜵􀝌􀝁􀝁􀝀
􀜣􀝒􀝁􀝎􀜽􀝃􀝁 􀜵􀝌􀝁􀝁􀝀 = 􀯍􀯢􀯧􀯍􀯔􀯢􀯟􀯧􀮽􀯔􀯟~~ ~~􀯜􀯦􀯍􀯧􀯜􀯔􀯡􀯠􀯘􀯖􀯘
Distance Travelled is the Area UNDER the speed /time graph | | Indices | | | | | | --- | --- | --- | --- | --- | | xa 􀁵 xb 􀀠 xa􀀎bam 􀁵 bm 􀀠 􀀋a􀁵 b􀀌m | | | Base No. same→ Power add
Power same→ Base No. multiply | | | xaxb~~ ~~ 􀀠 xa􀀐bam 􀂧 a 􀂷 m m 􀀠 􀂨 􀂸
b 􀂩b 􀂹 | | | Base No. same→ Power minus Power same→ Base No. divide | | | Note: 􀀋 xa 􀀌 b 􀀠 xa􀁵b 􀀋 xa 􀀌 b 􀁺 xa􀀎b | | | x 0 􀀠 1 | | | x 􀀐a 􀀠 x1a~~ ~~ ~~ ~~xa~~ ~~ 􀀠 xa x ay 􀀐b 􀀠 xyab~~ ~~ | | | | | | 􀂧 x 􀂷 􀀐a 􀂧􀂨 􀂸 􀀠 􀂨􀂩y 􀂹 􀂩 | y 􀂷a ~~ ~~ 􀂸 x 􀂹 | 1 xb 􀀠 x | | a
xb 􀀠 x | | x 􀀐 ~~ ~~ab 􀀠 x1ab~~ ~~ 􀀠 1x~~ ~~ x 􀀐 ~~ ~~1b 􀀠 x11b~~ ~~ 􀀠 1x~~ ~~ | | | | | | Coordinate Geometry | | | | --- | --- | --- | | Linear Graph
Y= m x + c where m= gradient and c= y-intercept
y2 􀀐 y1 Gradient(m) = x2 􀀐 x1 | | | | Mid-point of a line
= ( ~~ ~~x~~1 ~~􀀎2~~ ~~x~~2 ~~ , ~~ ~~y~~1 ~~􀀎2~~ ~~y~~2 ~~ ) | Distance between two points | | | | = | | | Polygons | | | --- | --- | | Sum of interior angles of ann-sided polygon.(n􀀐 2)􀁵1800
Each interior angle of an nsided polygon.
(n􀀐 2)􀁵180on | Each exterior angle of an n-sided
polygon 3600
=
n
Sum of exterior angles of an nsided polygon =3600 | | Arc Length, Sector and Segment | | | | | --- | --- | --- | --- | | Arc Length | | | | | 􀁔 0
S= 3600
Area of | 􀁵 2􀁓 r (Degree) Or
Sector |
S= r􀁔 (Radian) | | | 􀁔 0 2 A= 3600 􀁵 􀁓 r (Degree) Or | |
A 􀀠 12 r 2 􀁔 (Radian) | | | Mensuration | | | --- | --- | | Circles
Area = 􀁓 􀁵 r 2
Circumference = 2􀁵􀁓 􀁵 r Or 􀁓 􀁵 d | | | Trapezium
Perimeter = w + x + y + z
Area= ~~ ~~12 􀁵 􀀋x 􀀎 y􀀌􀁵 h | | | Parallelogram
Perimeter = 2×y+2×z Area= y × z | | | Cylinder
Total Surface Area (close cylinder)=2􀁵􀁓􀁵 r 2 􀀎 2􀁵􀁓 􀁵 r􀁵 h Total Surface Area (open cylinder)
= 􀁓 􀁵 r 2 􀀎 2􀁵􀁓 􀁵 r􀁵 h Volume =􀁓􀁵 r 2 􀁵 h | | | --- | --- | | Cone
Total Surface Area =􀁓 􀁵 r􀁵l 􀀎 􀁓􀁵 r 2

1 2 Volume = 3 􀁵􀁓􀁵 r 􀁵 h
l=slant height h=vertical height
(Note the difference) | | | Pyramid
Total Surface Area = Sum of 4 triangles + base
1 Volume = 3 􀁵 A􀁵 h
A=base area h=vertical height | | | | --- | --- | --- | | Sphere

Total Surface Area =4􀁵􀁓􀁵 r 2

4 3 Volume = 3 􀁵 􀁓 􀁵 r
Hemisphere (half-sphere) | | | | Total Surface Area = 2􀁵􀁓􀁵 r 2 􀀎 􀁓􀁵 r 2
2 3 Volume 3 􀁵 􀁓 􀁵 r | | | | Properties of Circle | | | | --- | --- | --- | | Angle at Centre =Twice A

FAQs

What formulas are included for unit conversion?

The list covers conversions for area and volume, including meters to centimeters and litres to cubic centimeters, plus km² to m².

How are financial math terms defined in the formula list?

It defines P as principal, I as interest amount, R as interest rate (%), T as time in years, and n as the number of periods for compound interest.

Which geometry and mensuration topics are covered?

It includes coordinate geometry (linear graphs and midpoints), polygon interior/exterior angle sums, arc length with sector/segment measures, and mensuration formulas for circles and key 3D shapes like cylinders, cones, pyramids, and spheres.

Oct 13, 2026

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