CSEC MATHEMATICS · EXAM PREPARATION · LESSON E2

Paper 2: Structured Questions — Marks, Working and Technique

How Paper 02 is built, what the command words mean, how method and accuracy marks work, formula-sheet use, and a self-marked set of three Paper 02 style questions.

Papers 1, 2 and 3Paper 02≈ 40 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 E2 · EXPLAINER

Paper 2: Structured Questions — Marks, Working and Technique

Paper 02 is half of your grade, and most of its marks are for method. Show the working and you collect marks even when the arithmetic slips.

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 02

2 h 30 min; 50% of the grade; 90 raw marks (30 per module); all working shown.

Mark allocation

M1: number/consumer 9, graphs/sets/measurement/algebra 1 12, investigation 9. M2: Algebra 2 + RFG 1 12, G&T 1 9, Stats 1 6, V&M 1 3. M3: V&M 2 9, RFG 2 6, G&T 2 9, Stats 2 6.

Command words

Calculate/determine; show that; hence; state; justify; describe fully; sketch vs draw.

Mark types

M method; A accuracy; B independent; E/R reason. No working → little credit.

Show that

Present every step to reach the given answer; never start from it.

Rounding

3 s.f.; angles 1 d.p.; money 2 d.p.; do not round early.

Units

Always include units and the $ sign.

Time

≈ 1.5 minutes per mark; attempt every part.

EXAM TIPS & COMMON MISTAKES

  • “Show that” — you are marked on the route to the answer. Write each line of working.
  • Use the formula list. Writing the formula down earns the first method mark in many questions.
  • Do not leave a part blank — an incorrect method with correct follow-through can still earn marks.
  • Check each answer is sensible: a probability is between 0 and 1, an angle in a triangle is less than 180°, a length is positive.
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 · Format of the examinations

1. The duration of Paper 02 is

Answer: C. Paper 02 lasts 2 hours 30 minutes.
CSEC syllabus · Assessment grid

2. Paper 02 contributes what percentage of the final grade?

Answer: C. Paper 01 30%, Paper 02 50%, Paper 03 20%.
Exam technique

3. A question says “Show that the cost price is $2.35.” You should

Answer: D. Marks are for the route to the given answer.
Exam technique

4. The word “hence” in a question means

Answer: A. Hence points to the earlier part.
Exam technique

5. A money answer of 12.3456 should be given as

Answer: B. Money is given to 2 decimal places: $12.35.
Exam technique

6. Unless the question says otherwise, an angle found with a calculator should be given to

Answer: C. Angles are normally given to 1 decimal place.
CSEC syllabus · Assessment grid

7. How many raw marks does each module carry in Paper 02?

Answer: C. 30 per module, 90 in total.
Exam technique

8. At about 1.5 minutes per mark, how long should you spend on a 9-mark question, leaving time to check?

Answer: D. 9 × 1.5 ≈ 14 minutes.
Step 4 · Apply

Mock paper — self-marked

Write full answers, then reveal the mark scheme and tick the points you earned (27 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Mini mock · Module 1 (9 marks)

Question 1 [9 marks]

A calculator may be used. All working must be shown.

(a) Evaluate 3.6 × 2.5 + √19.36. [2]

MARK SCHEME — (a) (max 2)

(b) A phone has a cash price of $1 600. On hire purchase a deposit of 25% is paid, followed by 12 monthly payments of $120. Calculate how much more is paid by hire purchase than the cash price. [3]

MARK SCHEME — (b) (max 3)

(c) Write 0.000 372 in standard form. [1]

MARK SCHEME — (c) (max 1)

(d) $540 is shared in the ratio 2 : 3 : 4. Calculate the largest share. [3]

MARK SCHEME — (d) (max 3)

Mini mock · Module 2 (9 marks)

Question 2 [9 marks]

All working must be shown.

(a) Factorise 2x² + 7x + 3. [2]

MARK SCHEME — (a) (max 2)

(b) Hence solve 2x² + 7x + 3 = 0. [2]

MARK SCHEME — (b) (max 2)

(c) Make a the subject of v² = u² + 2as. [2]

MARK SCHEME — (c) (max 2)

(d) y varies inversely as x. y = 6 when x = 4. Find y when x = 3. [3]

MARK SCHEME — (d) (max 3)

Mini mock · Module 3 (9 marks)

Question 3 [9 marks]

All working must be shown.

(a) In triangle ABC, a = 7 cm, b = 10 cm and angle C = 60°. Calculate the length of c, to 3 significant figures. [3]

MARK SCHEME — (a) (max 3)

(b) Calculate the area of the triangle. [2]

MARK SCHEME — (b) (max 2)

(c) In triangle OPQ, OP = p and OQ = q. M is the midpoint of PQ. Express OM in terms of p and q. [2]

MARK SCHEME — (c) (max 2)

(d) Given A = 2132, find det A and write down A⁻¹. [2]

MARK SCHEME — (d) (max 2)

Your progress

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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.