Topics
Algebra – Can I solve a linear inequality?
Last Needed – 2013*
*Compound Inequalities (which are no longer on syllabus) preferred in recent years.
1 ▶ 2016 LCOL Paper 1 – Question 3 (c)
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Applied Arithmetic – Can I convert from one currency to another?
Last Needed - 2022
2 ▶ 2011 JCOL Paper 1 – Question 2 (c)
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Number – Can I work with Scientific Notation?
Last Needed - 2020
3 ▶ 2007 JCHL Paper 1 – Question 1 (b) (i)
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Trigonometry – Can I use Pythagoras Theorem and the Trigonometric Ratios?
Last Needed - 2022
4 ▶ 2011 JCHL Paper 2 – Question 5 (b)
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Coordinate Geometry – Can I find the distance between 2 points?
Last Needed - 2022
5 ▶ 2008 JCHL Paper 2 – Question 2 (a)
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www.mathspoints.ie for worked solutions to these questions.
📁 JCHL Resources by Topic
📁 JCHL Weekly Revision
1 ▶ 2016 LCOL Paper 1 – Question 3 (c)
List all the values of 𝑥 that satisfy the inequality 2(2𝑥 − 3) + 6𝑥 < 25, where 𝑥 ∈ ℕ.
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2 ▶ 2011 JCOL Paper 1 – Question 2 (c)
(iii)
Before going on holidays to the USA Seán changed €500 into dollars.
The exchange rate was €1 = US$1.22
How many dollars did Seán get?
(iv)
When Seán came home he changed US$50 back into euro (€).
The exchange rate was the same.
How much, in euro, did Seán receive?
Give your answer to the nearest cent.
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3 ▶ 2005 JCHL Paper 1 – Question 1 (b) (i)
Light travels at a speed of approximately (2.9 × 105 ) km / sec.
How many kilometres will light travel in 8 minutes?
Express your answer in the form 𝑎 × 10𝑛 , where 𝑛 ∈ ℕ and 1 ≤ 𝑎 < 10.
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4 ▶ 2012 JCHL Paper 2 – Question 5 (b)
In the diagram 𝐴𝐵𝐶 is a right-angled triangle,
with 𝐴𝐶 perpendicular to 𝐵𝐶.
|𝐴𝐶| = 2√2 and |𝐵𝐶| = 3√3.
Calculate
(i)
|𝐴𝐵|, leaving your answer in surd form
(ii)
|∠𝐴𝐵𝐶|, correct to the nearest degree.
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5 ▶ 2008 JCHL Paper 2 – Question 2 (a)
𝑎 (3, 6) and 𝑏 (−1, 3) are two points.
Find |𝑎𝑏|.
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