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A2 Unit 4 Applied Mathematics B

6 dot points across 6 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, independence, and probability from two-way tables and tree diagrams.
A focused answer to WJEC A2 Unit 4 conditional probability, covering the conditional probability formula, the general multiplication rule, the test for independence, and reading conditional probabilities from two-way tables and tree diagrams.
12 min answer →

How do we form and solve a differential equation to model a rate of change?

Forming differential equations from a rate of change, solving first-order equations by separating the variables, and applying them to growth, decay and mechanics.
A focused answer to WJEC A2 Unit 4 differential equations, covering forming a differential equation from a stated rate of change, solving first-order equations by separating the variables, finding particular solutions, and modelling applications.
13 min answer →

How do we resolve forces on an inclined plane, model friction, and take moments to analyse equilibrium?

Resolving forces on inclined planes, the friction model and the coefficient of friction, connected particles, and moments and the equilibrium of rigid bodies.
A focused answer to WJEC A2 Unit 4 forces, covering resolving forces on inclined planes, the friction model and the coefficient of friction, connected particles, and taking moments for the equilibrium of rigid bodies.
14 min answer →

How do we test for correlation, and test a claim about the mean of a Normal distribution?

Hypothesis testing for a correlation coefficient, and hypothesis testing for the mean of a Normal distribution using the distribution of the sample mean.
A focused answer to WJEC A2 Unit 4 hypothesis testing, covering testing a correlation coefficient against a critical value and testing the mean of a Normal distribution using the distribution of the sample mean.
13 min answer →

How do we use calculus for variable-acceleration motion, and analyse projectiles in two dimensions?

Kinematics with calculus for variable acceleration, vectors in kinematics, and projectile motion resolved into horizontal and vertical components.
A focused answer to WJEC A2 Unit 4 kinematics, covering the use of calculus for variable acceleration, vector kinematics, and projectile motion resolved into independent horizontal and vertical components.
13 min answer →

How do we model continuous data with the Normal distribution and find probabilities and unknown parameters?

Continuous random variables and the Normal distribution, standardising to the standard Normal, finding probabilities, and the Normal approximation to the binomial.
A focused answer to WJEC A2 Unit 4 the Normal distribution, covering continuous random variables, the Normal distribution and its parameters, standardising with z-scores, finding probabilities, and the Normal approximation to the binomial.
13 min answer →