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Convergent Series – Sum to Infinity

Convergent Series – Sum to Infinity

Feb 5, 2021 | Leaving Cert Higher Level

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

Jan 27, 2021 | Junior Cert Higher Level, Leaving Cert Higher Level, Leaving Cert Ordinary Level

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 – Finding the First Term and Difference

Jan 26, 2021 | Leaving Cert Higher Level, Uncategorized

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

Jan 15, 2021 | Leaving Cert Higher Level

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

Jan 13, 2021 | Leaving Cert Higher Level

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

Jan 12, 2021 | Applied Maths

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!

Jan 11, 2021 | Leaving Cert Higher Level

Tricky Indices Question A tricky indices question involving...

2019 LCOL P1 Q6 (b) – Equations with Indices

2019 LCOL P1 Q6 (b) – Equations with Indices

Jan 11, 2021 | Leaving Cert Ordinary Level

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

Dec 13, 2020 | Algebra, Junior Cert Higher Level

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

2013 JCHL P1 Q6 – Distance, Speed and Time

Dec 7, 2020 | Junior Cert Higher Level

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)

Nov 29, 2020 | Applied Maths

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)

Nov 26, 2020 | Applied Maths

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)

Nov 23, 2020 | Applied Maths

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 Universal Social Charge (USC)

Nov 21, 2020 | Junior Cert Higher Level, Leaving Cert Ordinary Level

Calculating the USC Example of how to calculate the Universal Social...

Surface Area and Volume of Cubes

Surface Area and Volume of Cubes

Nov 19, 2020 | Leaving Cert Higher Level

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

Nov 19, 2020 | Junior Cert Higher Level, Leaving Cert Higher Level, Leaving Cert Ordinary Level

Working with Indices An Indices question from the 2017 Junior Cert Higher Level Paper...

Linear Motion 1988 Q1 – Vertical Motion (One Particle)

Linear Motion 1988 Q1 – Vertical Motion (One Particle)

Nov 16, 2020 | Applied Maths

Linear Motion - Vertical Motion (One Object) Applied Maths question from the 1988 Paper

Inequality Proofs (Abstract Inequalities)

Inequality Proofs (Abstract Inequalities)

Nov 15, 2020 | Leaving Cert Higher Level

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)...

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