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- Ratio & proportion — Module 2: Sharing in a ratio
Ratio & proportion — Module 2: Sharing in a ratio
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What you'll learn
- Ratio, Proportion & Rates of Change
- Sharing in a ratio AQA GCSE 8300 §3.3 / R5, R8
Inside this resource
- 4 slides
For the student — how to do this
For parents and carers
For teachers and tutors
How to check the work
Ask the learner to show or explain one idea, then try a fresh example with suitable support. Note any prompts needed; retelling alone does not show secure understanding.
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How to study with Ratio & proportion — Module 2: Sharing in a ratio
This parent guide links the page examples with a usable study routine. The current resource is labelled Mathematics, GCSE, Year 10, Year 11, E-Learning Module. Use that context, the learning summary and published prompts to agree what successful work should reveal.
Prepare a focused session
Read the title and learning focus together. Ask the learner to predict the ideas, language or technique they may need. Scan each sample and recognise action words, quantities, hints, constraints or unfamiliar terms. Agree a manageable time window, remove interruptions and prepare useful equipment such as paper, pencil, ruler, coloured pens, calculator, headphones or a device. Encourage an independent opening attempt so the work indicates secure understanding and doubt. A quiet pause often strengthens retrieval better than an instant answer.
Make thinking published
Invite the learner to restate the task in their own words. They can underline necessary information, divide a extended problem into shorter steps, sketch a diagram, organise details, compose a sentence or describe a planned method. Ask why their approach fits and whether another method could work. When movement stops, offer a graduated hint: repeat the goal, point towards a useful example, reduce the choice, then model only the next step. Return ownership immediately afterwards. Spoken reasoning reveals misconceptions and practises precise subject language.
Check accuracy and understanding
Compare the attempt with published answer guidance after genuine effort. Inspect more than the final work: review the method, explanation, units, details, sequence, spelling or presentation where useful. Ask the learner to locate the opening point where their reasoning changed course. Complete corrections actively in a different colour or fresh space, followed by a short note of the change. For a correct answer, ask for justification and one independent check. This distinguishes assured ideas from guessing while developing accuracy, reflection and careful working habits.
Consolidate and extend
Finish with retrieval from memory. Cover the example and ask for the central idea, process or fact again. Create one small adaptation by altering a value, condition, example, viewpoint or level of support while keeping the learning focus. Invite the learner to write a comparable question and supply checking guidance. Record one success and one precise next step, perhaps returning to terminology, rehearsing a calculation, adding details or refining clarity. Recheck that target afterwards in the week because spaced review gives stronger information than instant repetition.
The interactive player, downloadable file and make answer material retain their existing access controls. The guide strengthens preparation, discussion and review.
Sample questions and answers
Try five questions from this exact activity. Review each authored answer and explanation, then note which ideas need another look. Compare the options and explain why the answer fits. Say the reasoning aloud or write a short justification before opening the interactive player to complete the activity and save progress.
Share £20 in the ratio 2 : 3. What is the smaller share?
- £8
- £12
- £4
- £10
Sample answer: £8
Explanation: 5 parts share £20, so 1 part = £4; the smaller share is 2 × £4 = £8.
Share £20 in the ratio 2 : 3. What is the larger share?
- £8
- £12
- £15
- £10
Sample answer: £12
Explanation: 1 part = £4, so the larger share is 3 × £4 = £12.
Share 30 sweets in the ratio 1 : 2. What is the larger share?
- 10
- 15
- 20
- 25
Sample answer: 20
Explanation: 3 parts share 30, so 1 part = 10; larger = 2 × 10 = 20.
Share £100 in the ratio 3 : 2. What is the first share?
- £40
- £50
- £60
- £75
Sample answer: £60
Explanation: 5 parts share £100, so 1 part = £20; first = 3 × £20 = £60.
Share 24 in the ratio 1 : 3. What is the smaller part?
- 6
- 8
- 12
- 18
Sample answer: 6
Explanation: 4 parts share 24, so 1 part = 6.