Numeracy: Mathematics
What the numeracy questions test
Numeracy items span number sense (place value, fractions, decimals, percentages, integers), proportional reasoning (ratios, rates, unit rates), algebra (patterns, expressions, solving simple equations), geometry and measurement (area, perimeter, volume, angle relationships), and data (reading graphs, mean/median/mode, probability). Most questions are multi-step: you must choose an operation, carry it out accurately, and interpret the result in context.
Traps to watch for
- Unit mismatches. Minutes versus hours, centimetres versus metres, or a rate given per hour but asked per minute.
- Percent change confusion. A 20% increase followed by a 20% decrease does not return to the original value (multiply by 1.20 then 0.80).
- Mixing perimeter and area, or forgetting that area is squared units.
- Misreading scale on graphs, including a y-axis that does not start at zero.
- Stopping too early. Many items ask for a final quantity after an intermediate calculation; reread the last sentence before answering.
Rule of thumb: set up before you solve
Write the relationship as an equation with units attached, then substitute. For a proportion, cross-multiply.
Worked example: A recipe uses 3 cups of flour for 12 muffins. How much flour for 30 muffins? Set up 3/12 = x/30. Cross-multiply: 12x = 90, so x = 7.5 cups. Check reasonableness: 30 muffins is 2.5 times 12, and 3 × 2.5 = 7.5, which confirms the answer.
Always estimate first, compute second, and compare - if your estimate and answer disagree wildly, recheck the setup.