Fewer Careless Mistakes on a Math Exam: Fix the Ones You Keep Making
Careless mistakes in math are usually the same few slips repeated. Go back through your recent tests, name the two or three slips you make most (a dropped minus sign, a misread condition, a copying error), write one short check for each, and re-solve the questions where they happened, doing the check every time.
“Be more careful” does not work as advice because it does not say what to look at. A check aimed at your own most common slip does. Below is how to find those slips before a final exam and practise against them.
In this guide
Find your own slips, not a generic list
Take the last few tests and quizzes for this course and look only at the questions you lost to a slip, not to a concept you did not know. Write down what actually went wrong in each, in a few words.
You will usually see the same two or three things again and again. Those are the ones to work on; the rest are noise.
Turn each slip into one check
Each slip gets a check you can do in a few seconds, at a specific moment.
- Signs: when you move a term across the equals sign or expand brackets with a minus in front, check the sign of every term.
- Conditions: before you start, underline the conditions in the question (integer, positive, range of x); before you finish, check your answer against them.
- Copying: when you carry a line down, compare it with the line above.
- The question asked: read the last sentence again before writing the answer. Did it ask for x, or for 2x + 1?
Re-solve those questions, doing the check
Re-solve the questions where the slip happened, answers covered, and do the check out loud or with a mark on the paper each time. You are practising the check as much as the question.
Then do a few new questions of the same type with the same check, so it becomes a habit rather than something you remember for those particular questions.
Leave time for the checks on the day
Checks take time. In a timed practice paper, see how long you need for them and keep that much at the end. If you always run out, practise pacing separately; running out of time is a different problem from carelessness.
How ReviewNotes helps with careless mistakes
When you add a question you got wrong, you can record why: a calculation slip, a concept you did not know, a misread question, running out of time, or a guess. That makes it easier to see which mistakes were slips.
Re-solve them as a set with the solution hidden; ones you miss come back on later days. To practise the check on fresh questions, generate similar questions from the ones you got wrong.
Questions people ask
- Are careless mistakes just bad luck?
- Usually not. If you look back over several tests, most people find the same two or three slips repeated, which means they can be practised against.
- Should careless mistakes go in my mistake notebook?
- Yes, if it is a slip you have made more than once. Write the check next to it so you practise the check when you re-solve.
- How do I check my answers without running out of time?
- Check at specific moments (signs when you rearrange, conditions at the end) rather than redoing the whole question. In practice papers, time how long the checks take and keep that much at the end.