· 7 min read
When a parent sees a SATs score, the instinct is to read every lost mark as something the child does not know. Very often, that is not what has happened. Two children can score 34 out of 50 on the same reasoning paper for completely different reasons — and the work that will help them is completely different too.
In practice, marks are lost through a mixture of causes: genuine knowledge gaps, weak fluency, misunderstood mathematical vocabulary, misreading the question, choosing the wrong operation, inefficient methods, incomplete working, never checking whether an answer is reasonable, difficulty applying secure knowledge to an unfamiliar problem, and simple time pressure.
That distinction matters because each cause requires a different response. Reteaching fractions will not help a child who understands fractions perfectly well but did not notice that the question required them.
“A wrong answer tells us that something went wrong. Good assessment tells us why.”
The three types of lost mark
Almost every lost mark in KS2 maths falls into one of three categories. Sorting a paper into these three groups takes about fifteen minutes and is the single most useful thing a parent can do with a completed test.
Knowledge errors
The child genuinely does not yet understand or reliably remember the mathematics the question requires.
- Fraction equivalence
- Place value
- Percentage relationships
- Multiplication facts
- Formal calculation methods
What helps: Teach or revisit the underlying concept, using representations before procedures.
Process errors
The child understands the mathematics but something goes wrong while carrying it out.
- Long division set out incorrectly
- Carrying and regrouping slips
- Losing track in a multi-step calculation
- Copying a number down wrongly
What helps: Improve method, layout, organisation and a checking routine the child owns.
Application errors
The child knows the mathematics but does not recognise how to use it in an unfamiliar question.
- Not identifying the operation needed
- Missing information hidden in the text
- Multi-step reasoning
- Mathematical vocabulary
What helps: Develop reasoning and question-analysis skills rather than more calculation drill.
Giving all three children another worksheet would be easy. But they do not have the same problem.
Arithmetic: where marks disappear
The arithmetic paper looks like a pure knowledge test, but performance depends on two things at once: knowing the mathematics and executing it accurately under mild time pressure. A child can lose marks in either place.
Multiplication facts
- Insecure recall increases cognitive load on every question that contains a multiplication
- A child who has to work out 7 × 8 has less mental capacity left for the long multiplication it sits inside
- This shows up as errors in the *later* stages of a calculation, which is often misread as carelessness
Fractions
- Finding a fraction of an amount, particularly non-unit fractions such as three fifths
- Recognising and generating equivalent fractions
- Adding and subtracting with different denominators
- Confusing the role of the numerator and denominator
- Moving between fractions, decimals and percentages as the same relationship
Formal written calculation
- Long multiplication, where place-value alignment does most of the work
- Short and long division, where the setup determines whether the method survives
- Column addition and subtraction with exchange
- Decimal calculations, where a misplaced point costs the whole mark
It is worth saying plainly: a child can understand division conceptually and still lose the mark because the layout drifted across the page. That is a process problem, not a knowledge problem, and it usually improves in weeks rather than terms.
Reasoning: the question behind the question
Reasoning papers test whether a child can decide what mathematics is needed. Before any calculation happens, the child has to answer a prior question: what is this actually asking me to do?
- Information included that is not needed
- Two or three steps where only one is signposted
- Familiar mathematics in an unfamiliar presentation
- Vocabulary such as product, difference, remainder, per, altogether, at least
- Choosing between operations that both look plausible
- Reading tables, bar models, line graphs and scales
- Explaining or justifying an answer in words
- Working backwards from a given total
A typical example
A child may be perfectly able to calculate 35% of £240 when asked directly. The same child can lose the mark in a reasoning question about a sale price, because nothing in the wording announces that a percentage calculation is required. The mathematics was secure; the recognition was not.
Knowing the mathematics and recognising when to use it are different skills.
The multi-step problem
Multi-step questions are where capable children lose the most marks. The usual pattern is a child who starts calculating with the first two numbers they see, gets a correct answer to the wrong question, and never notices. Nothing about the arithmetic was weak — the planning stage was skipped.
The five-step routine
Worth practising until it becomes automatic on every reasoning question.
- 1
Stop
Do not start calculating. Read the whole question twice.
- 2
Identify
Which information matters, and what is the question actually asking for?
- 3
Plan
What has to happen first? How many steps are there?
- 4
Solve
Complete each stage carefully, showing the working for each one.
- 5
Check
Does the final answer make sense, and does it answer the question asked?
Make the steps visible
Ask your child to say the plan out loud before writing anything. If they cannot describe the steps, the difficulty is comprehension rather than calculation — and more arithmetic practice will not touch it.
The checking problem
“Check your work” is one of the least effective instructions in education. Most children interpret it as looking back at what they wrote and deciding that it looks about right. Rereading your own working tends to confirm it rather than test it.
A checking routine has to be specific, short enough to use on every question, and different from the original calculation.
The 20-second check
- Re-read the question
- Check the operation you chose
- Estimate what the answer should roughly be
- Check the calculation itself
- Compare the answer with your estimate
- Check units, and whether the question has actually been answered
Estimating is the most powerful step, because it catches the errors that matter most. A child who expects roughly 180 will notice an answer of 18 or 1,800 immediately. Estimation converts a silent error into an obvious one — and it costs a few seconds.
The errors parents should not worry about too much
Some balance is needed here. A single mistake is not evidence of a learning gap. Children occasionally misread a number, make a one-off slip, misunderstand an unusually worded question, or simply lose concentration on question 29 of 35. Adults do the same.
What matters is pattern. One fraction error is a mistake. Repeated fraction errors across several different assessments, in different formats, is information worth acting on.
Don't chase every mistake. Look for patterns.
What to do with a practice paper
The value of a practice paper is created almost entirely after it has been completed. Recording "42/50" in a notebook tells you the temperature; it does not tell you what to do next. Analysing the eight lost marks does.
A simple error analysis
| Question | What happened | Error type | Next step |
|---|---|---|---|
| Q7 | Incorrect fraction of an amount | Knowledge | Revisit fraction-of-amount strategy |
| Q15 | Long division calculation error | Process | Practise layout and checking |
| Q22 | Didn't identify a two-step problem | Application | Multi-step reasoning practice |
| Q31 | Correct method, careless arithmetic | Accuracy | Estimate-and-compare checking |
Four lost marks, four different next steps — only one of which is reteaching.
This transforms a test from a score into a learning plan.
What parents can do this week
- Look through your child's most recent maths assessment
- Ignore the total score to begin with
- Find the questions where marks were lost
- Ask why each answer went wrong, with the child if possible
- Group the mistakes into knowledge, process and application
- Look for repeated patterns rather than one-off slips
- Choose only one or two priority areas
- Practise those areas specifically, in short sessions
- Reassess a few weeks later to see whether the problem has gone
One thing to avoid
Responding to a disappointing score by handing over another complete paper. A second paper usually reproduces the same lost marks and costs an hour of goodwill. Fix the pattern first, then test it.
A note about SATs pressure
SATs matter, and it is reasonable to prepare properly for them. But a score should never become a child's identity, and preparation should leave a child more confident rather than more anxious.
Children perform closer to their real ceiling when they feel prepared, when they know what to do at the moment they get stuck, and when they understand that an occasional mistake is a normal part of doing mathematics rather than proof of failure.
The objective
Secure knowledge, good habits and confidence — not endless testing.
From score to diagnosis
This is one of the principles behind Knowledge Forge. Assessment should do more than produce a percentage.
It should help identify what a child understands, where misconceptions remain, why marks are being lost and what learning should happen next. Once that picture is clear, practice can become much more targeted.
That is what the platform is designed to join up:
- Assessment
- Gap identification
- Adaptive learning
- Personalised practice
- Tutor support
- Progress tracking
- Learning between lessons
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