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Northern IrelandMaths

A2 2 Applied Mathematics

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How does knowing one event has happened change the probability of another?

Conditional probability, the conditional probability formula, the multiplication rule for dependent events, the test for independence, and using tree diagrams and two-way tables.
A CCEA A-Level Mathematics answer on conditional probability, the conditional probability formula, the general multiplication rule for dependent events, the formal test for independence, and using tree diagrams and two-way tables to find conditional probabilities.
12 min answer →

How do friction and moments govern the equilibrium and motion of bodies, including on inclined planes?

Resolving forces in two dimensions, the friction model with the coefficient of friction, motion and equilibrium on an inclined plane, and the moment of a force with the conditions for the equilibrium of a rigid body.
A CCEA A-Level Mathematics answer on resolving forces in two dimensions, the friction model with the coefficient of friction and limiting friction, motion and equilibrium on an inclined plane, and the moment of a force with the conditions for the equilibrium of a rigid body.
13 min answer →

How do we use a sample to test a claim about a population, and decide whether to reject it?

The structure of a hypothesis test, the null and alternative hypotheses, the significance level and critical region, one-tailed and two-tailed tests, and carrying out a binomial hypothesis test.
A CCEA A-Level Mathematics answer on the structure of a hypothesis test, the null and alternative hypotheses, the significance level and critical region, one-tailed and two-tailed tests, and carrying out a hypothesis test on a binomial probability.
13 min answer →

How do we analyse projectile motion in two dimensions and motion with a varying acceleration?

Projectile motion resolved into horizontal and vertical components, the range, time of flight and maximum height, and using calculus to relate displacement, velocity and acceleration when the acceleration varies with time.
A CCEA A-Level Mathematics answer on projectile motion resolved into horizontal and vertical components, finding the time of flight, range and maximum height, and using differentiation and integration to relate displacement, velocity and acceleration when acceleration varies with time.
13 min answer →

How does the normal distribution model continuous data, and how do we calculate probabilities from it?

The normal distribution and its parameters, standardising to the standard normal variable Z, finding probabilities and values from the distribution, and the normal approximation to the binomial distribution.
A CCEA A-Level Mathematics answer on the normal distribution and its mean and standard deviation, standardising to the variable Z, finding probabilities and inverse-normal values, and using the normal distribution as an approximation to the binomial distribution.
13 min answer →