Topics
Algebra – Can I factorise algebraic expressions?
Last Asked – 2022
1 ▶ 2011 JCHL Paper 1 – Question 4 (b)
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Applied Arithmetic (Financial) – Can I calculate income tax?
Last Asked – 2022
2 ▶ 2016 LCOL Paper 1 – Question 6 (a)
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Coordinate Geometry – Can I calculate the slope of a line, given two points on the line?
Last Asked – 2022
3 ▶ 2011 JCHL Paper 2 – Question 2 (b)
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Trigonometry – Can I use trigonometric ratios to find missing sides of triangles?
Last Asked – 2022
4 ▶ 2014 LCOL Paper 2 – Question 8 (b)
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Area, Perimeter and Volume – Can I find the volume of cuboids?
Last Asked – 2020 Sample
5 ▶ 2009 JCHL Paper 2 – Question 1 (b)
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www.mathspoints.ie for worked solutions to these questions.
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1 ▶ 2011 JCHL Paper 1 – Question 4 (b)
Factorise
𝑥2 − 1
(i)
(ii) 𝑎𝑥 − 3 − 𝑎 + 3𝑥
(iii) 6𝑥 2 + 𝑥 − 35
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2 ▶ 2016 LCOL Paper 1 – Question 6 (a)
Fiona earns a gross wage of €1550 every fortnight. She pays income tax, a Universal Social Charge
(USC), and Pay Related Social Insurance (PRSI) on this wage.
Each fortnight, Fiona pays income tax at the rate of 20% on the first €1300 she earns and 40% on the
remainder. She has tax credits of €126 per fortnight.
Find how much income tax she pays per fortnight.
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3 ▶ 2011 JCHL Paper 2 – Question 2 (b)
The diagram shows the gable end of a house.
The total height is 7 m.
The height to roof level is 4 m, i.e. |𝐴𝐸| = 4 m.
𝐴 is the point (1, 0).
𝐵 is the point (9, 0).
(i)
Write down the coordinates of the points 𝐶, 𝐷 and 𝐸.
(ii)
Find the slope of the rafter [𝐸𝐷].
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4 ▶ 2014 LCOL Paper 2 – Question 8 (b)
Gráinne stood at a point 𝐵, which is on level ground 100
metres from the base of the tower supporting the blades,
as shown. From there, she measured the angle of
elevation to the top of the tower as 60°.
Find the height of the tower, using Gráinne’s
measurements. Give your answer correct to the nearest
metre.
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5 ▶ 2009 JCHL Paper 2 – Question 1 (b)
A jeweller buys a rectangular block of gold of
length 4 cm, width 3 cm and height 2 cm.
1 cm3 of gold costs €400.
Calculate the cost of the block of gold.
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