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Original mixed-practice builder

A single-topic worksheet hides a problem, because in the exam nobody tells you which method to use.

On this page
  1. How do I use it?
  2. Example walk-through
  3. How do I read the result?
  4. What are the limits?
  5. Which lessons explain the output?

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This builder assembles a mixed practice session from a small bank of original, reviewed questions. You choose the skills, the time you have and the difficulty, and it gives you a printable list of questions with the answer and reasoning for each one, hidden until you want them.

The questions do not say which method to use. Choosing the method is part of the practice.

How do I use it?

  1. Subject profile: pick the subject. Confirm your exact code and year in the syllabus navigator first, because the bank is not a substitute for your own syllabus.
  2. Skills: tick the areas you want to mix: number, percentages, algebra, and geometry and measures.
  3. Time available: 15, 30, 45 or 60 minutes.
  4. Difficulty: mixed, gentle, standard or stretch.
  5. Press Build session. Attempt the questions on paper first.
  6. Tick Show answers and reasoning only when you have finished. Print and Download text save the session, and Reset returns the defaults.

Example walk-through

With the defaults, Mathematics, all four skills, 30 minutes and mixed difficulty, the builder returns a session of 10 questions that fits about 29 of the 30 minutes. It starts with Expand and simplify 3(x + 2) − x, then moves to a geometry question, then percentages, then number, rather than giving four algebra questions together.

Here are three questions from that session and their reasoning once you open the answers.

  • A price rises by 10% and then falls by 10%. Find the overall percentage change and explain why it is not 0%. The answer is a 1% decrease. Multiply: 1.1 × 0.9 = 0.99. The 10% fall is taken of the larger, increased price, so it removes more than the rise added.
  • Solve 5x − 7 = 2x + 11. The answer is x = 6. Collect the x terms to get 3x = 18. Check: 5(6) − 7 = 23 and 2(6) + 11 = 23.
  • A 5 m ladder leans on a wall with its foot 1.5 m from the wall. Find the angle it makes with the ground to 1 decimal place. The foot distance is adjacent to the angle and the ladder is the hypotenuse, so cos θ = 1.5 ÷ 5 = 0.3 and θ = 72.5°.

Now tick only Number and choose Stretch. The session shrinks to a single question, because the bank holds one stretch question in that skill. Choose a subject without a reviewed bank and you see No qualifying questions with an honest message.

How do I read the result?

  • Session summary: the number of questions and the minutes they add up to, compared with the time you asked for.
  • Questions: numbered, in a mixed order, with no labels such as “use the sine rule”.
  • Answers and reasoning: each final answer with the reasoning behind it. Compare your working, not only your result.
  • Follow-on lessons: links to the topics behind the skills in your session.

If you got a question wrong, go to the linked lesson, then log it in the mistake log and retest it later.

What are the limits?

The bank is small, so repeated sessions will start to reuse questions. It covers a few skills, not a whole syllabus, and it is not an official exam predictor.

It uses no scraped past papers. If a combination has no questions, the tool says so and will not invent answers to fill the page.

Which lessons explain the output?

The follow-on links point to the modules behind each skill, including number sense and exact arithmetic and percentages and changing bases. For a full set on one topic, use the number sense practice set or the Mathematics original practice hub. The spaced practice scheduler can put your weakest skills back in front of you at sensible intervals. More aids are on the tools page.

When you want a teacher to watch how you choose a method, see online one-to-one Mathematics tuition.

Questions people ask

Are these questions from past papers?

No. Every question in the bank is original and written for this site, then reviewed with its solution. The tool does not use scraped past papers and does not predict any exam. Use it for practice on the skills, and use your school's and Cambridge's own materials for past papers.

Why do some subjects return no questions?

Only subjects with a reviewed question bank produce a session. For anything else, the tool says plainly that no qualifying questions exist and does not generate unreviewed questions or answers. At the moment, the reviewed bank covers Mathematics.

How does it choose which questions to include?

It works within your time limit and spreads the session across the skills and question types you selected, so you do not get three of the same kind in a row. Questions carry no method labels, so you have to decide how to start, as in an exam.

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Your next step

If mixed questions feel harder than the same skills taught one at a time, a one-to-one teacher can help you practise choosing the method, which is where the difficulty usually sits.

Paid one-hour trial at your assigned teacher’s confirmed rate, starting from RM80. Other fees, schedules and ongoing arrangements are confirmed directly with your teacher after the trial class.

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