Numeracy: Numbers in Everyday Contexts
What the numeracy section tests
The numeracy test checks whether you can use mathematics in ordinary life rather than whether you can recall formulas. The core concepts are: the four operations with whole numbers, decimals and simple fractions; percentages and their link to fractions and decimals; ratio and proportion; measurement of length, mass, capacity and time; perimeter, area and volume of simple shapes; reading tables, timetables and graphs; averages (mean, median, mode and range); and money calculations, including change and discounts.
Traps to watch for
Most lost marks come from misreading, not miscalculation. Watch for these common traps:
- Units that do not match. A question may give length in centimetres and width in metres. Convert before you calculate.
- Time in base 60. Adding 45 minutes to 10:40 gives 11:25, not 10:85. Borrow 60 minutes, not 100.
- Percentage direction. A 20% discount means you pay 80%. A 20% increase means you pay 120%.
- Rounding too early. Keep full values until the final step, then round as asked.
- Extra information. Some questions include a number you do not need. Decide what is being asked before choosing numbers.
- Mean versus total. If you know the mean and the count, multiply to recover the total.
Rule of thumb
Write down the quantity asked for, its unit, and the operation that connects the given numbers. Then estimate the answer first; if your calculated answer is far from the estimate, recheck the setup.
Worked example
A jacket costs $80 and is reduced by 25%. What is the sale price?
- The discount is 25% of $80: 0.25 × 80 = $20.
- The sale price is 80 − 20 = $60.
Shortcut: paying 75% of the original gives 0.75 × 80 = $60. The estimate confirms the answer is sensible, because a quarter off $80 should leave about $60.