← Further Maths syllabus

Northern IrelandFurther Maths

AS 2 Applied Mathematics

4 dot points across 4 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do Newton's laws relate force to motion, and how do you handle friction and connected bodies?

Forces as vectors, resolving and equilibrium, Newton's three laws, the equation of motion F equals ma, friction and the coefficient of friction, and connected particles over pulleys.
A CCEA AS Further Maths Mechanics answer on forces as vectors, resolving and equilibrium, Newton's three laws, the equation of motion, the friction model with the coefficient of friction, and connected particles linked by a string over a pulley.
12 min answer →

How do the constant-acceleration equations and motion graphs describe motion in a straight line?

Kinematics of motion in a straight line with constant acceleration, the suvat equations, vertical motion under gravity, and interpreting displacement-time and velocity-time graphs.
A CCEA AS Further Maths Mechanics answer on motion in a straight line with constant acceleration, the suvat equations, vertical motion under gravity, and reading displacement-time and velocity-time graphs for gradient and area.
12 min answer →

How do you calculate probabilities and work with discrete random variables and the binomial distribution?

Probability of combined events, mutually exclusive and independent events, conditional probability, discrete random variables with their expectation and variance, and the binomial distribution as a model.
A CCEA AS Further Maths Statistics answer on probability of combined events, mutually exclusive and independent events, conditional probability, discrete random variables with expectation and variance, and the binomial distribution as a model.
12 min answer →

How do you sample a population fairly, summarise data, and measure its centre and spread?

Statistical sampling methods, presenting and interpreting data, measures of central tendency (mean, median, mode) and measures of variation (range, interquartile range, variance and standard deviation).
A CCEA AS Further Maths Statistics answer on sampling methods, presenting and interpreting data, the mean, median and mode, and measures of spread including the range, interquartile range, variance and standard deviation.
12 min answer →