What to Do With a Wrong Answer

A child sits a practice paper, gets 28 out of 35, and the number goes in a book. That is where most preparation quietly stops working. The seven wrong answers are the only part of the exercise that could have taught anything, and they have just been converted into a score and filed.

This is not a lecture about working harder. It is the opposite. Reviewing seven questions properly takes about twenty minutes and is worth more than the next whole paper, which means the family that reviews can do fewer papers, not more.

The four kinds

Ask the child to say, out loud, what happened. Not to re-solve it. The categories sort themselves quickly once somebody is asked.

• I did not know how. A genuine content gap, and the only one of the four that is fixed by studying the topic.
• I knew how and made a slip. Read the question wrong, dropped a minus, answered a different question than the one asked.
• I ran out of time and guessed. Not a maths problem at all: see the 68-second question.
• I got it right and changed it. The most demoralising kind, and more common than parents expect.

The point of the sort is that it stops all seven being treated as the same problem. A child who made four slips and had one content gap does not need a week of revision. They need to slow down for the first ten seconds of every question, which is a completely different piece of work.

Slips are a category, not an accident

Parents tend to wave slips away as carelessness that will pass. They will not pass on their own, and they are not random: almost every child has a signature slip. One drops the negative. One reads three-quarters as three-fifths. One answers the question that was asked in the previous part.

Find the signature by collecting slips across three or four papers rather than reacting to each one. A pattern that is invisible on Tuesday is obvious across a month, and once it is named the child can check for that one thing rather than trying to be generally careful, which is not an instruction anybody can follow.

The question to ask about a guess

When a child guesses, the useful question is not what the answer was. It is whether they could have eliminated anything. Most Selective questions have at least one option that is impossible on a moment's inspection, and a child who is guessing between two options is in a very different position from one guessing between five.

That skill is trainable and it belongs to the paper rather than the topic. The traps in multiple choice sets out the ones the maths paper uses repeatedly.

Why changing a right answer happens

It is almost always a confidence problem wearing a mathematical disguise. The child arrives at an answer, does not trust the method that produced it, looks for a reason to doubt, and finds one, because a person looking for a reason to doubt will always find one.

The fix is a rule rather than encouragement: change an answer only when you can say the specific error in the first attempt out loud. Not because it feels wrong. Because line three added instead of subtracting. If they cannot name the error, the first answer stands.

Doing this without it becoming another chore

Twenty minutes, at the table, with the child talking and the adult writing. The adult's job is to record the category, not to teach the question. Teaching in the review turns a diagnosis into a lesson and the child stops volunteering what actually happened, which is the only thing the exercise needed.

Keep a single page with four headings and add to it. After a month it is the most useful document in the house, and it will usually show that one of the four columns is much longer than the others, which is the whole answer to what to work on next.

How often to do all this is its own question, and the honest answer is in how much practice is enough. Reviewing well is what lets the total go down.