← Maths syllabus

Northern IrelandMaths

AS 2 Applied Mathematics

6 dot points across 6 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do we summarise, display and interpret a set of data?

Measures of central tendency and spread, calculating the mean, median, mode, range, interquartile range, variance and standard deviation, displaying data with histograms and box plots, and identifying outliers.
A CCEA A-Level Mathematics answer on measures of central tendency and spread, calculating the mean, median, mode, range, interquartile range, variance and standard deviation, presenting data with histograms and box plots, and identifying outliers.
13 min answer →

How do Newton's laws relate the forces on a body to its acceleration?

Forces as vectors, modelling assumptions, Newton's three laws, the equation $F = ma$ , weight, normal reaction, tension and the motion of connected particles.
A CCEA A-Level Mathematics answer on forces as vectors, the standard modelling assumptions, Newton's three laws, the equation F = ma, weight, normal reaction and tension, and the motion of connected particles such as a mass on a string over a pulley.
13 min answer →

How do the equations of motion and motion graphs describe a body moving in a straight line?

Displacement, velocity and acceleration for motion in a straight line, the equations of motion for constant acceleration, motion under gravity, and interpreting displacement-time and velocity-time graphs.
A CCEA A-Level Mathematics answer on displacement, velocity and acceleration in a straight line, the suvat equations of motion for constant acceleration, motion under gravity, and reading and using displacement-time and velocity-time graphs.
12 min answer →

How do we calculate the probability of single and combined events?

Probability of an event, mutually exclusive and independent events, the addition and multiplication rules, Venn diagrams and tree diagrams, and the probability of complementary events.
A CCEA A-Level Mathematics answer on the probability of an event, mutually exclusive and independent events, the addition and multiplication rules, complementary events, and using Venn diagrams and tree diagrams to calculate combined probabilities.
12 min answer →

How do we model the probabilities of a discrete random variable, and when does the binomial distribution apply?

Discrete random variables and their probability distributions, the binomial distribution and its conditions, calculating binomial probabilities, and the mean of a binomial distribution.
A CCEA A-Level Mathematics answer on discrete random variables and their probability distributions, the conditions for the binomial distribution, calculating binomial probabilities with the formula and cumulative tables, and the mean of a binomial distribution.
13 min answer →

How do we collect a sample that fairly represents a population?

Populations, samples and the census, sampling units and the sampling frame, and the main sampling methods including random, systematic, stratified, quota and opportunity sampling with their advantages and limitations.
A CCEA A-Level Mathematics answer on populations, samples and the census, the sampling frame and sampling units, and the main sampling methods - random, systematic, stratified, quota and opportunity - together with their advantages and limitations.
11 min answer →