CSEC MATHEMATICS · EXAM PREPARATION · LESSON E4

Paper 032 Technique: Earning Conceptual, Algorithmic and Reasoning Marks

How the 20 marks of a Paper 032 question are split, how to read a real-world problem, set out a structured extended response, and a full 20-mark practice question on a Module 1 situation.

Papers 1, 2 and 3Paper 032≈ 45 min
Before you start

By the end of this lesson you can…

Step 1 · Watch

Explainer video

5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.

LESSON E4 · EXPLAINER

Paper 032 Technique: Earning Conceptual, Algorithmic and Reasoning Marks

One question, one hour, 20 marks — and the marks are labelled by skill. Learn what each label rewards and you can plan every line of your answer.

Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.

Step 2 · Read

Key notes

Copy these into your notebook in your own words — that is how they stick.

Paper 032

Private candidates; 1 hour; three optional questions (one per module); attempt one; 20 marks weighted to 60.

CK 6

Rules, procedures, definitions, facts; simple computations.

AK 8

Algorithmic thinking: applying methods to the problem situation.

R 6

Translate non-routine problems; make inferences and generalisations; analyse and synthesise.

Set out

Define letters; label parts; show formula → substitution → answer with units.

Reasoning sentences

“This means…”, “Therefore…”, “I recommend … because …” with numbers quoted.

Choose wisely

Read all three questions; pick the one you can finish.

Check

Units, rounding, and that the conclusion answers the original question.

EXAM TIPS & COMMON MISTAKES

  • Always end with a sentence that answers the question asked — most of the R marks sit there.
  • When a question says “justify” or “advise”, quote at least one number from your working.
  • If you cannot do a part, state what you would do and carry on: later parts often use given values.
  • Write units on every answer ($, m², km/h) — it is part of the algorithmic mark.
Step 3 · Practise

Paper 1 practice — multiple choice

8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.

CSEC syllabus · Paper 032

1. In Paper 032, how many marks are awarded for Conceptual Knowledge?

Answer: B. CK 6, AK 8 and R 6 make 20.
CSEC syllabus · Paper 032

2. In Paper 032, how many marks are awarded for Algorithmic Knowledge?

Answer: B. AK is 8 of the 20 marks.
CSEC syllabus · Paper 032

3. In Paper 032, the Reasoning skill is worth

Answer: C. R is 6 of the 20 marks.
Paper 032 technique

4. Writing “I recommend Option B because its total cost of $818 is lower” mainly earns

Answer: D. Interpreting results and recommending is reasoning.
Paper 032 style · Module 1

5. A club’s cost is C = 240 + 18n and its revenue is R = 30n. The break-even number of shirts is

Answer: B. 30n = 240 + 18n → 12n = 240 → n = 20.
Paper 032 style · Module 1

6. At the break-even point in the shirt problem, the revenue is

Answer: A. 30 × 20 = $600.
CSEC syllabus · Paper 032

7. In Paper 032 you must answer

Answer: B. One of the three optional questions is chosen.
Paper 032 technique

8. The first thing to do when the paper starts is to

Answer: C. Choosing the right question is the first decision.
Step 4 · Apply

Mock paper — self-marked

Write full answers, then reveal the mark scheme and tick the points you earned (20 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Paper 032 style · Module 1 (20 marks; [CK] conceptual 6, [AK] algorithmic 8, [R] reasoning 6)

Question 1 [20 marks]

A school club makes T-shirts to sell. It costs $240 to set up the design and $18 to make each shirt. Each shirt is sold for $30.

(a) (a) Let n be the number of shirts. Write an expression for (i) the total cost C and (ii) the revenue R in terms of n. [2]

MARK SCHEME — (a) (max 2)

(b) (b) Explain what is meant by “break-even” and calculate the number of shirts that must be sold to break even. [3]

MARK SCHEME — (b) (max 3)

(c) (c) Calculate the profit if 75 shirts are sold. [2]

MARK SCHEME — (c) (max 2)

(d) (d) Calculate the percentage profit on the total cost, correct to 1 decimal place. [2]

MARK SCHEME — (d) (max 2)

(e) (e) The club offers a 15% discount on the selling price. State the new price per shirt and calculate the new break-even number of shirts. [3]

MARK SCHEME — (e) (max 3)

(f) (f) The club expects to sell 40 shirts. Calculate the profit (i) at $30 and (ii) at the discounted price, and advise the club whether to offer the discount. [5]

MARK SCHEME — (f) (max 5)

(g) (g) The cost per shirt is total cost ÷ number of shirts. Find it for 20 shirts and for 75 shirts, and explain why the cost per shirt falls as more shirts are made. [3]

MARK SCHEME — (g) (max 3)

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Sources

Syllabus sources and past papers

Everything in this lesson is based on these parts of the CXC syllabus and papers.