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Your practice test is a map: 4 ways to use it

Student working at a desk

A score tells you where you finished. Your working can tell you what to do next. Keep the paper, a pencil and a little curiosity: the most useful revision begins after you mark it.

01

Sort the misses before you redo anything

For each missed question, mark the first point where your solution went off track. Was it reading the question, choosing a method, carrying out a calculation, or explaining the result? Compare two errors in the same category. “I forgot a negative sign” calls for a different next step from “I could not decide whether to use a ratio or an equation.” A practice test is most helpful when it reveals the decision behind an answer, rather than becoming a list of marks to win back.

Try it: Choose three misses. Write one sentence beside each naming the earliest uncertain step.
02

Cover the solution and try again

Look briefly at the worked answer, then hide it and solve a similar question from a blank page. Explain why you chose each step. If you get stuck, uncover only the next hint and start again. Recalling a method is more demanding than recognising one on a page. In a retrieval study, repeated testing improved later recall more than repeated restudy, although that experiment used vocabulary rather than maths. Treat a successful retry as evidence you can use the idea yourself, not just follow someone else’s working.

Try it: Close your notes and solve one fresh question. Check the method as well as the final answer.
03

Return to it next week

One correct retry today is encouraging; a correct retry after a delay is more revealing. In a mathematics experiment, spreading practice across two sessions helped college students retain a procedure four weeks later more than doing the same practice in one session. That does not establish a magic interval for every student. It does give you a reason to put the question back on your calendar instead of finishing ten near-identical examples in one sitting.

Try it: Save two questions from today and retry them in a few days, then again the following week.
04

Mix old and new problem types

Once you understand each method, stop arranging every session in neat topic blocks. Mix a few algebra, graph and geometry questions so that you must decide which method fits. In a randomised study of 54 Year 7 classes, students who received more mixed maths practice outscored those given blocked practice on a later test. Mixed practice can feel slower because it asks you to recognise the problem before calculating. If a topic is still completely new, first learn the method with guidance; then add it to the mix.

Try it: Build a six-question mini-test using two questions from each of three topics, in shuffled order.

The research behind it

The activities are Vertex’s practical suggestions. Research findings describe the groups studied, not a guarantee of individual results.

  1. Karpicke & Roediger (2008), retrieval practice and delayed recall ↗
  2. Rohrer & Taylor (2006), distributed mathematics practice ↗
  3. Rohrer et al. (2020), randomised interleaved mathematics trial ↗
Make it stick · 2 quick questions

Check your understanding.

Choose an answer for each question, then check your thinking.

1. You missed a ratio question. What is the most useful first note?
2. After you can solve a topic with guidance, what does mixed practice add?

A clear place to start.

One free hour on Zoom. An assessment of your current ability.
A study plan to help you move forward.