2026 Leaving Cert Ordinary Level Maths Mock Paper 1 Question 5 | Full Solution

In this video, we walk through the full, step-by-step solution to Question 5 from the 2026 Leaving Certificate Ordinary Level Maths Mock Paper 1.

This core algebra and calculus question splits into two distinct, high-yield skill areas:
1. Working with a quadratic function—using substitution, applying differentiation (calculus) to locate a maximum turning point, finding x-intercepts, and sketching the curve.
2. Interpetting a linear graph to calculate the rate of change (h'(x)) using the classic "rise over run" slope method for a line with a negative slope.

What we cover in this video:
- Part (a)(i): Evaluating g(3) via substitution
- Part (a)(ii): Differentiating g(x) to find the maximum turning point value of x
- Part (a)(iii): Finding where the quadratic curve cuts the x-axis (roots)
- Part (a)(iv): How to accurately sketch the curve on your exam paper
- Part (b): Finding the rate of change h'(x) using Rise over Run on a negative slope line

💡 Exam Strategy Tips:
- Remember that "rate of change" for a straight line means exactly the same thing as the SLOPE. If the line goes downhill from left to right, make sure your final fraction has a negative sign!
- "Use calculus to find the maximum" is your code to find the derivative, let it equal 0, and solve.

Grab your log tables, calculator, geometry ruler, and follow along to clean up your mock revision.

If this walkthrough helped you master quadratic sketches and rates of change, please give the video a like, drop any questions in the comments below, and subscribe for more Leaving Cert Ordinary Level Maths solutions!

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Видео 2026 Leaving Cert Ordinary Level Maths Mock Paper 1 Question 5 | Full Solution канала Brendan Clarke