ASET Quantitative Reasoning — Complete 2027 Guide

Number & Operations ~30–35% of questions

• —Whole number operations and order of operations
• —Fractions, decimals, and percentages
• —Ratios and rates
• —Powers and square roots
• —Number patterns and sequences

Focus tip: Percentages and ratios are the most common weak spots. Master the 10%–5%–1% breakdown method for quick mental percentage calculation.

Algebra & Patterns ~20–25% of questions

• —Missing value problems (find the number that makes this true)
• —Function machines (input–output tables)
• —Simple linear equations
• —Growing patterns and rule-finding
• —Substitution

Focus tip: QR algebra is not secondary-school algebra. Questions test whether students can work backwards or find a rule — not formal solving methods.

Measurement & Geometry ~20–25% of questions

• —Area, perimeter, and volume of standard shapes
• —Angle properties (straight line, triangle, parallel lines)
• —Coordinate geometry (plotting and reading points)
• —Time and unit conversions
• —Scale and proportion

Focus tip: Area and perimeter of composite shapes (L-shapes, combined rectangles) are a reliable source of questions. Practise breaking shapes into rectangles.

Statistics & Data ~15–20% of questions

• —Mean, median, mode, and range
• —Reading and interpreting graphs (bar, line, pie, column)
• —Probability (simple and complementary events)
• —Interpreting tables and two-way tables
• —Data inference and comparison

Focus tip: Mean calculation questions often involve finding a missing value when the average is given. Practise "what number must be added to make the mean X?" problems.

Percentage shortcuts

Always find 10% first (shift the decimal), then halve for 5%, shift once more for 1%. Build any percentage from those three. 23% = 20% + 3% = 2×10% + 3×1%.

Multiplication by 9

n × 9 = n × 10 − n. So 7 × 9 = 70 − 7 = 63. Faster than recall for many students under pressure.

Fraction–decimal conversions

Memorise: ½ = 0.5, ⅓ ≈ 0.333, ¼ = 0.25, ⅕ = 0.2, ⅛ = 0.125. Most QR fraction questions reduce to one of these.

Estimation before solving

For multi-step problems, estimate the answer range first (e.g. "between 40 and 60"). This immediately eliminates 2–3 answer options, saving time on the actual calculation.

Work backwards from answers

When the calculation is complex, substitute the answer options back into the question. Starting with the middle option and adjusting up or down is often faster than a clean forward solve.

First pass (28 min)

Work through all questions in order. Answer everything you can solve confidently in under 75 seconds. Skip and mark questions that require more work.

Second pass (8 min)

Return to marked questions. Use estimation and elimination to narrow options. A good guess on 2 remaining options is better than no answer.

Final check (4 min)

Review flagged answers. Don't change answers based on gut feeling — only change if you identify a specific error.