# Mathematical requirements

The Leaving Certificate Technology syllabus does not require a sophisticated knowledge of mathematics--a basic understanding of algebra, arithmetic, geometry and trigonometry will suffice. Students will be expected to understand, use and present numbers expressed in standard form. They will be expected to recognise standard prefixes used with the symbols for physical quantities (see below and opposite).

### Symbols and Units

Throughout the course, students will be expected to recognise and use the correct symbols and units for physical quantities. The table below shows the most common quantities likely to arise in Technology.

PhysicalQuantitySymbolUnit NameUnit SymbolExpressed in termsof other units
lengthlmetrem
areaAsquare metrem2
massmkilogramkg
timetseconds
speedvmetre per secondM s­1 or m/s
forceFnewtonN
moment of a forceMnewton metreN m
torqueTnewton metreN m
workWjouleJN m
energyEjouleJN m
powerPwattWJ s­1
temperatureT
t
kelvin
degree Celsius
K
°C

electric chargeQ, qcoulombC
electric currentIampereA
potential differenceVvoltV
resistanceRohm
frequencyfhertzHzs­1
angle degree°

The following SI prefixes may also arise in Technology.

PrefixSymbolFactor
gigaG109
megaM106
kilok103
centic10­2
millim10­3
microµ10­6
nanon10­9
picop10­12

#### Relationships and Formulas

Students should know and be able to use appropriate relationships and formulas. The derivation of these formulas is not required. Some typical relationships and formulas used in Leaving Certificate Technology are presented below. Others may be found in the Mathematical Tables, copies of which will be available during the examination.

Uniform linear motion:

Work:

Average power used:

Moment of force:

Velocity ratio:

Gear ratio:

Efficiency (%):

Ohm's law:

Resistors in series:

Resistors in parallel:

Electrical power:

#### Electrical/Electronic Circuit Symbols

Cell

Battery

On/Off Switch

Push Switch (PTM)

Bulb

Fixed Resistor

Variable Resistor

Potentiometer

Thermistor

Light Dependent Resistor [LDR]

Buzzer

Speaker

Motor

Diode

Light Emitting Diode [LED]

Photodiode

Transistor (NPN type)

Capacitor

Electrolytic Capacitor

Relay and Contacts

Logic Gates

AND

OR

NOT

NAND

NCCA, 24 Merrion Square, Dublin 2, Telephone: +353 1 661 7177, Fax: +353 1 661 7180, E-mail: info@ncca.ie