*B6*
Pre-Leaving Certificate Examination, 2024
Mathematics
(Option A)
Ordinary Level
Paper 1
2 hours 30 mins
300 marks
Name: For examiner
Question Mark
School:
1
Address: 2
Class: 3
4
Teacher:
5
6
7
8
9
10
Total
Grade
Running total
,Instructions
There are two sections in this examination paper.
Section A Concepts and Skills 150 marks 6 questions
Section B Contexts and Applications 150 marks 4 questions
Answer questions as follows:
• any five questions from Section A – Concepts and Skills
• any three questions from Section B – Contexts and Applications
Write your details in the box on the front cover.
Write your answers in blue or black pen. You may use pencil in graphs and diagrams only.
Anything that you write outside of the answer areas may not be seen by the examiner.
Write all answers into this booklet. There is space for extra work at the back of the booklet. If you need to use
it, label any extra work clearly with the question number and part.
The superintendent will give you a copy of the Formulae and Tables booklet. You must return it at the end of
the examination. You are not allowed to bring your own copy into the examination.
In general, diagrams are not to scale.
You will lose marks if your solutions do not include relevant supporting work.
You may lose marks if the appropriate units of measurement are not included, where relevant.
You may lose marks if your answers are not given in simplest form, where relevant.
Write the make and model of your calculator(s) here:
2
,Section A Concepts and Skills 150 marks
Answer any five questions from this section.
Question 1 (30 marks)
(a) (i) A small business is considering purchasing a photocopier. Its price before
VAT is €5 500 and VAT is charged at 23%. Find the purchase price of the photocopier.
(ii) Its purchase value depreciates by 20% each year for 4 years. Find the value of
the photocopier at the end of the 4 years.
(b) There is also the option of leasing the photocopier for 4 years. The cost is €120 per month
before VAT, which is charged at 23%. What would be the total cost of leasing a photocopier
for 4 years? How much more expensive is the total lease price compared to the purchase
price?
3
, (c) A sum of money was invested for 4 years at 2% compound interest per year. At the end of
the 4 years, it amounted to €6 500. Find the sum invested, to the nearest euro.
(d) The business owner invested €4 000 for 3 years at a fixed rate of compound interest.
At the end of the 3 years, it amounted to €4 434·87. Find the rate of interest as a
percentage to 1 decimal place.
4
Pre-Leaving Certificate Examination, 2024
Mathematics
(Option A)
Ordinary Level
Paper 1
2 hours 30 mins
300 marks
Name: For examiner
Question Mark
School:
1
Address: 2
Class: 3
4
Teacher:
5
6
7
8
9
10
Total
Grade
Running total
,Instructions
There are two sections in this examination paper.
Section A Concepts and Skills 150 marks 6 questions
Section B Contexts and Applications 150 marks 4 questions
Answer questions as follows:
• any five questions from Section A – Concepts and Skills
• any three questions from Section B – Contexts and Applications
Write your details in the box on the front cover.
Write your answers in blue or black pen. You may use pencil in graphs and diagrams only.
Anything that you write outside of the answer areas may not be seen by the examiner.
Write all answers into this booklet. There is space for extra work at the back of the booklet. If you need to use
it, label any extra work clearly with the question number and part.
The superintendent will give you a copy of the Formulae and Tables booklet. You must return it at the end of
the examination. You are not allowed to bring your own copy into the examination.
In general, diagrams are not to scale.
You will lose marks if your solutions do not include relevant supporting work.
You may lose marks if the appropriate units of measurement are not included, where relevant.
You may lose marks if your answers are not given in simplest form, where relevant.
Write the make and model of your calculator(s) here:
2
,Section A Concepts and Skills 150 marks
Answer any five questions from this section.
Question 1 (30 marks)
(a) (i) A small business is considering purchasing a photocopier. Its price before
VAT is €5 500 and VAT is charged at 23%. Find the purchase price of the photocopier.
(ii) Its purchase value depreciates by 20% each year for 4 years. Find the value of
the photocopier at the end of the 4 years.
(b) There is also the option of leasing the photocopier for 4 years. The cost is €120 per month
before VAT, which is charged at 23%. What would be the total cost of leasing a photocopier
for 4 years? How much more expensive is the total lease price compared to the purchase
price?
3
, (c) A sum of money was invested for 4 years at 2% compound interest per year. At the end of
the 4 years, it amounted to €6 500. Find the sum invested, to the nearest euro.
(d) The business owner invested €4 000 for 3 years at a fixed rate of compound interest.
At the end of the 3 years, it amounted to €4 434·87. Find the rate of interest as a
percentage to 1 decimal place.
4
