Convergent Series – Sum to Infinity
Convergence and Sum to Infinity of a Geometric Series Testing to see if a Geometric Series is Convergent and finding the Sum to Infinity of the Series using the...
General Term of a Quadratic Sequence
General Term of a Quadratic Sequence How to find the General Term of a Quadratic Sequence given a number of terms in that...
Arithmetic Sequences – Finding the First Term and Difference
Arithmetic Sequences Given some information about an arithmetic (linear) sequence find the values of a, the start term, and d, the common...
Rationalise the Denominator
Rationalise the Denominator Multiplying the denominator of a fraction by its conjugate to get rid of any surds in that...
Using Quadratic Equations to Solve Special Indices Equations
Using Quadratic Equations to Solve Special Indices Equations Looking at some special indices equations where we to incorporate the use of quadratic equations to solve for...
Projectiles 2019 Q3 (a) – Projection of a Cliff
Projectiles 2019 Q3 (a) - Projection of a Cliff Projectiles question off a cliff where we want to find the angle of projection, the horizontal range of the particle and the speed of the particle as it hits the...
Tricky Indices Question!
Tricky Indices Question A tricky indices question involving...
2019 LCOL P1 Q6 (b) – Equations with Indices
Equations with Indices Using the rules of indices to solve equations where the variable, x, is in the exponent...
2017 JCHL P1 Q9 (a) – Solving Quadratic Equations Using the -b Formula
2017 JCHL P1 Q9 (a) - Solving Quadratic Equations Using the -b Formula Using the quadratic formula (-b formula) to solve a quadratic equation...and leaving the answer in surd...
2013 JCHL P1 Q6 – Distance, Speed and Time
Distance, Speed and Time Using formulae to calculate times taken for a journey given the distance and speed....and distances travelled given the speed and...
Differential Equations 2012 Q10 (b) – Motion (Forces)
Differential Equations 2012 Q10 (b) - Motion (Forces) Using F=ma can we find the acceleration of a particle and thus form a Differential Equation to calculate the distance travelled in travelling from one velocity to...
Differential Equations 2016 Q10 (a) – Motion (Change Direction)
Differential Equations 2016 Q10 (a) - Motion (Change Direction) Using Differential Equations to show that a particle changes direction during...
Differential Equations 1981 Q10 (b) (ii) – Motion (Proportional Acceleration)
Differential Equations 1981 Q10 (b) (ii) - Motion (Proportional Acceleration) Here we find the distance travelled in a certain time by calculating the distance travelled in going from one velocity to...
Calculating the Universal Social Charge (USC)
Calculating the USC Example of how to calculate the Universal Social...
Surface Area and Volume of Cubes
Surface Area and Volume of Cubes Given the diagonal length of a cube we can calculate both it's surface area and its...
Working With Indices
Working with Indices An Indices question from the 2017 Junior Cert Higher Level Paper...
Linear Motion 1988 Q1 – Vertical Motion (One Particle)
Linear Motion - Vertical Motion (One Object) Applied Maths question from the 1988 Paper
Inequality Proofs (Abstract Inequalities)
Inequality Proofs (Abstract Inequalities) Generally we try and collect all of the terms on the left hand side of the inequality and show that the left hand side is greater than (or equal to)...