Free A-Math Exam Papers & Prelim Papers for Sec 3 & Sec 4 (PDF with Answers)

What Topics Are Covered in the A-Math Exam Papers?

✅ Sec 3 Additional Math Topics

• Indices & Surds

• Quadratic Equations

• Polynomials & Remainder Theorem

• Inequalities & Simultaneous Equations

• Functions & Graphs

• Trigonometric Ratios & Basic Identities

• Linear Law & Graphical Representations

✅ Sec 4 Additional Math Topics

• Logarithmic & Exponential Functions

• Further Trigonometric Identities

• Coordinate Geometry

• Differentiation (and Applications)

• Integration (Area under Graphs)

• Plane Geometry

For the full topic list, refer to our A-Math Syllabus Overview.

✅ Curated by A-Math Experts

Our curriculum experts have reviewed over a decade of A-Math papers from top schools and O-Level assessments to identify:

• Frequently tested concepts

• Popular question types across multiple years

• Common student misconceptions

• Topics that carry heavy exam weightage

These papers are not random drills — they are exam-style resources, designed to help you to spot your learning gaps so that you can correct them ASAP!

How to Use These A-Math Papers Effectively

Whether your child is in Sec 3 or Sec 4, here’s how to get the most from these free papers:

1. Simulate exam conditions – Attempt Paper 1 and 2 within the allotted time for realistic practice.

2. Use the worked solutions to learn from mistakes – Go beyond the final answer — focus on the logic and steps.

3. Reinforce weak topics – Identify patterns in careless mistakes or conceptual gaps and revise accordingly.

4. Track progress over time – Use our exam papers as a benchmark for upcoming school exams or O-Level preparation.

Sample O-Level A-Math Questions and Solutions

 

1. A polynomial is given as f(x) = (x+2)(2x² + qx + 15).

(a)  Find the set of values of q for which  has only one solution.      [3]

(b)  Solve f(x) = 0 for q = – 12, giving your answers in exact form.   [3]

Solutions

 

2.  Express in partial fractions.                                 [6]

 

Solutions

Download Your Free A-Math Exam Papers Now

Click the button below to get instant access to your free A-Math Exam Papers with solutions (for both Sec 3 and 4).

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