*WMS5* Part of
MȲǙǥȨǠȲǙǤȰǚ (OǝǙǤǞǟ A)
ORDINARY LEVEL
MARKING SCHEME
Pre-Leaving Certificate Examination 2024
, ORDINARY LEVEL Structure
Marking Scheme – Paper 1, Section A and Section B
Structure of the marking scheme
Candidate responses are marked according to different scales, depending on the types of response
anticipated. Scales labelled A divide candidate responses into two categories (correct and incorrect). Scales
labelled B divide responses into three categories (correct, partially correct, and incorrect), and so on. The
scales and the marks that they generate are summarised in this table:
Scale label A B C D
No. of categories 2 3 4 5
5-mark scale 0, 5 0, 2, 5 0, 2, 3, 5 0, 2, 3, 4, 5
10-mark scale 0, 5, 10 0, 3, 7, 10 0, 3, 5, 8, 10
15-mark scale 0, 5, 10, 15 0, 5, 9, 12, 15
A general descriptor of each point on each scale is given below. More specific directions in
relation to interpreting the scales in the context of each question are given in the scheme, where
necessary.
Marking scales – level descriptors
A-scales (two categories)
x incorrect response (no credit)
x correct response (full credit)
B-scales (three categories)
x response of no substantial merit (no credit)
x partially correct response (partial credit)
x correct response (full credit)
C-scales (four categories)
x response of no substantial merit (no credit)
x response with some merit (low partial credit)
x almost correct response (high partial credit)
x correct response (full credit)
D-scales (five categories)
x response of no substantial merit (no credit)
x response with some merit (low partial credit)
x response about half-right (mid partial credit)
x almost correct response (high partial credit)
x correct response (full credit)
PAGE 2 OF 42 ORDINARY LEVEL MATHEMATICS | Pre-Leaving Certificate, 2024
, Marks Allocation ORDINARY LEVEL
Summary of mark allocations and scales to be applied
Section A (150) Section B (150)
Answer any five questions Answer any three questions
Question 1 (30) Question 7 (50)
(a) (i) 5C (a) (i) 5C
(a) (ii) 10C (a) (ii) 10B
(b) 5D (a) (iii) 10C
(c) 5C (b) (i) 5B
(d) 5C (b) (ii) 10C
(b) (iii) 10C
Question 2 (30)
(a) 10D Question 8 (50)
(b) 5C (a) (i) 5B
(c) 5C (a) (ii) 10C
(d) 10D (a) (iii) 10B
(a) (iv) 5B
Question 3 (30) (b) (i) 5D
(a) 10C (b) (ii) 5C
(b) 5B (c) (i) 5C
(c) 15D (c) (ii) 5C
Question 4 (30) Question 9 (50)
(a) (i) 5C (a) (i) 10C
(a) (ii) 5C (a) (ii) 5C
(a) (iii) 10C (a) (iii) 5C
(b) 10C (b) (i) 5B
(b) (ii) 5B
Question 5 (30) (b) (iii) 5B
(a) (i) 5C (b) (iv) 5C
(a) (ii) 5B (c) (i) 5B
(a) (iii) 5B (c) (ii) 5C
(a) (iv) 5C
(b) (i) 5B Question 10 (50)
(b) (ii) 5C (a) 10C
(b) (i) 5B
Question 6 (30) (b) (ii) 5C
(a) 5C (b) (iii) 5C
(b) 15D (c) (i) 5C
(c) 10C (c) (ii) 5C
(d) (i) 10C
(d) (ii) 5C
ORDINARY LEVEL MATHEMATICS | Pre-Leaving Certificate, 2024 PAGE 3 OF 42
, ORDINARY LEVEL PAPER 1, Section A
Model Solutions & Marking Notes
NOTE: The model solutions for each question are not intended to be exhaustive – there may be
other correct solutions.
Where the scheme refers to “work of merit”, examples are given of the standard acceptable as
work of merit in that particular part.
In general, accept a candidate’s work in one part of a question for use in subsequent parts of the
question, unless this oversimplifies the work involved.
Q.1 Model Solution – 30 Marks Marking Notes
(a) Scale 5C (0,2, 3, 5)
(i) 5500(1.23) = €6765
Low Partial Credit
ଶଷ
x Work of merit e.g. some use of or
ଵ
0.23
High Partial Credit
x Finds €1265 but forgets to add on
(ii) Scale 10C (0, 3, 7, 10)
௧
Depreciation = ܲ(1 െ )ݎ Low Partial Credit
= (6765)(1 െ 0.2)ସ x 6765 or equivalent
= €2770.94 x × 20% or equivalent
x 0.8
List Method x At least one correct substitution
€6765 x Correct formula written down
€5412 High Partial Credit
€4329.60 x (0.8)ସ
€3463.68 x 2 or 3 years correct by list method
x Fully correct substitution into formula
€2770.94
but fails to finish
x Correct answer without work (2771)
(b) Scale 5D (0, 2, 3, 4, 5)
120(1.23)(48) = €7084.80 Low Partial Credit
€7084.80 െ €6765 = €319.80 x Some work of merit e.g. multiplies by 48
or finds 23%
Mid Partial Credit
x Finds €7084.80 and stops
High Partial Credit
x Goes to calculate difference but incurs
an error
PAGE 4 OF 42 ORDINARY LEVEL MATHEMATICS | Pre-Leaving Certificate, 2024
MȲǙǥȨǠȲǙǤȰǚ (OǝǙǤǞǟ A)
ORDINARY LEVEL
MARKING SCHEME
Pre-Leaving Certificate Examination 2024
, ORDINARY LEVEL Structure
Marking Scheme – Paper 1, Section A and Section B
Structure of the marking scheme
Candidate responses are marked according to different scales, depending on the types of response
anticipated. Scales labelled A divide candidate responses into two categories (correct and incorrect). Scales
labelled B divide responses into three categories (correct, partially correct, and incorrect), and so on. The
scales and the marks that they generate are summarised in this table:
Scale label A B C D
No. of categories 2 3 4 5
5-mark scale 0, 5 0, 2, 5 0, 2, 3, 5 0, 2, 3, 4, 5
10-mark scale 0, 5, 10 0, 3, 7, 10 0, 3, 5, 8, 10
15-mark scale 0, 5, 10, 15 0, 5, 9, 12, 15
A general descriptor of each point on each scale is given below. More specific directions in
relation to interpreting the scales in the context of each question are given in the scheme, where
necessary.
Marking scales – level descriptors
A-scales (two categories)
x incorrect response (no credit)
x correct response (full credit)
B-scales (three categories)
x response of no substantial merit (no credit)
x partially correct response (partial credit)
x correct response (full credit)
C-scales (four categories)
x response of no substantial merit (no credit)
x response with some merit (low partial credit)
x almost correct response (high partial credit)
x correct response (full credit)
D-scales (five categories)
x response of no substantial merit (no credit)
x response with some merit (low partial credit)
x response about half-right (mid partial credit)
x almost correct response (high partial credit)
x correct response (full credit)
PAGE 2 OF 42 ORDINARY LEVEL MATHEMATICS | Pre-Leaving Certificate, 2024
, Marks Allocation ORDINARY LEVEL
Summary of mark allocations and scales to be applied
Section A (150) Section B (150)
Answer any five questions Answer any three questions
Question 1 (30) Question 7 (50)
(a) (i) 5C (a) (i) 5C
(a) (ii) 10C (a) (ii) 10B
(b) 5D (a) (iii) 10C
(c) 5C (b) (i) 5B
(d) 5C (b) (ii) 10C
(b) (iii) 10C
Question 2 (30)
(a) 10D Question 8 (50)
(b) 5C (a) (i) 5B
(c) 5C (a) (ii) 10C
(d) 10D (a) (iii) 10B
(a) (iv) 5B
Question 3 (30) (b) (i) 5D
(a) 10C (b) (ii) 5C
(b) 5B (c) (i) 5C
(c) 15D (c) (ii) 5C
Question 4 (30) Question 9 (50)
(a) (i) 5C (a) (i) 10C
(a) (ii) 5C (a) (ii) 5C
(a) (iii) 10C (a) (iii) 5C
(b) 10C (b) (i) 5B
(b) (ii) 5B
Question 5 (30) (b) (iii) 5B
(a) (i) 5C (b) (iv) 5C
(a) (ii) 5B (c) (i) 5B
(a) (iii) 5B (c) (ii) 5C
(a) (iv) 5C
(b) (i) 5B Question 10 (50)
(b) (ii) 5C (a) 10C
(b) (i) 5B
Question 6 (30) (b) (ii) 5C
(a) 5C (b) (iii) 5C
(b) 15D (c) (i) 5C
(c) 10C (c) (ii) 5C
(d) (i) 10C
(d) (ii) 5C
ORDINARY LEVEL MATHEMATICS | Pre-Leaving Certificate, 2024 PAGE 3 OF 42
, ORDINARY LEVEL PAPER 1, Section A
Model Solutions & Marking Notes
NOTE: The model solutions for each question are not intended to be exhaustive – there may be
other correct solutions.
Where the scheme refers to “work of merit”, examples are given of the standard acceptable as
work of merit in that particular part.
In general, accept a candidate’s work in one part of a question for use in subsequent parts of the
question, unless this oversimplifies the work involved.
Q.1 Model Solution – 30 Marks Marking Notes
(a) Scale 5C (0,2, 3, 5)
(i) 5500(1.23) = €6765
Low Partial Credit
ଶଷ
x Work of merit e.g. some use of or
ଵ
0.23
High Partial Credit
x Finds €1265 but forgets to add on
(ii) Scale 10C (0, 3, 7, 10)
௧
Depreciation = ܲ(1 െ )ݎ Low Partial Credit
= (6765)(1 െ 0.2)ସ x 6765 or equivalent
= €2770.94 x × 20% or equivalent
x 0.8
List Method x At least one correct substitution
€6765 x Correct formula written down
€5412 High Partial Credit
€4329.60 x (0.8)ସ
€3463.68 x 2 or 3 years correct by list method
x Fully correct substitution into formula
€2770.94
but fails to finish
x Correct answer without work (2771)
(b) Scale 5D (0, 2, 3, 4, 5)
120(1.23)(48) = €7084.80 Low Partial Credit
€7084.80 െ €6765 = €319.80 x Some work of merit e.g. multiplies by 48
or finds 23%
Mid Partial Credit
x Finds €7084.80 and stops
High Partial Credit
x Goes to calculate difference but incurs
an error
PAGE 4 OF 42 ORDINARY LEVEL MATHEMATICS | Pre-Leaving Certificate, 2024
