Two of the three SATs papers are reasoning, not raw calculation. Here's how to help your child unpack a worded problem properly.
25 August 2026 · 5 min read
A child can be genuinely fluent with long division, fractions and ratio, and still lose marks on a reasoning question that uses all three — not because the calculations are wrong, but because working out which calculations to do, and in what order, is a separate skill from doing them.
A calculation like "347 ÷ 8" tells you exactly what to do. A worded problem like "A coach holds 8 passengers. How many coaches are needed for 347 people?" requires the child to first recognise that this is a division problem, work out which number divides which, and then — crucially — decide what to do with the remainder. 347 ÷ 8 is 43 remainder 3, but simply rounding down to 43 coaches leaves 3 people without a seat; the situation demands rounding up to 44, even though the raw division answer alone says 43. That last step — interpreting the answer in context, not just calculating it — is where reasoning marks are genuinely won or lost.
A useful, simple habit: read the question once for the general situation, then a second time specifically hunting for the numbers and what's actually being asked. Many mistakes come from children calculating something correctly that wasn't actually what the question asked for — for instance, finding the total cost when the question asked for the change from a given amount.
Before calculating anything, it helps to identify explicitly: what numbers do I have, and what exactly am I trying to find? For multi-step problems especially, writing this down — even briefly — reduces the chance of jumping straight to a calculation that answers the wrong question, or skipping a step needed to get from the given numbers to the final answer.
A rough estimate of what a sensible answer should look like, done before the detailed calculation, catches a surprising number of errors — both calculation slips and answers that technically follow from a wrong interpretation of the question. If a problem about splitting a bill between friends produces an answer larger than the total bill itself, that's an immediate sign something in the reasoning went wrong, well before checking the arithmetic in detail.
Reasoning papers award marks for method as well as the final answer, and a child who's used to only writing down a final number misses out on partial credit even when their thinking was largely correct. Getting into the habit of writing each step — even for problems solved mostly in their head — is genuinely useful exam technique, not just busywork.
Read twice. Note down what's known and what's being asked. Estimate before calculating in detail. Show the working, not just the answer. None of this replaces knowing the underlying maths — it's what turns that knowledge into marks on a reasoning paper specifically.
Grasp Maths practises worded reasoning problems as a distinct skill from raw calculation, so a child who's strong on arithmetic but loses marks translating word problems into the right calculation gets practice aimed specifically at that gap.
Looking for printable practice too? See our Year 6 maths worksheets, or read the full Year 6 maths overview.
Try a free Grasp Maths practice session, matched to the Year 6 curriculum and SATs reasoning style.