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- Ratio & proportion — Module 4: Compound measures & best buys
Ratio & proportion — Module 4: Compound measures & best buys
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What you'll learn
- Compound measures & best buys AQA GCSE 8300 §3.3 / R11, R1
- Ratio, Proportion & Rates of Change
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 4: Compound measures & best buys
This parent guide connects the page examples with a practical study routine. The current resource is labelled Mathematics, GCSE, Year 10, Year 11, E-Learning Module. Use that setting, the learning summary and published prompts to agree what successful work should show.
Prepare a focused session
Read the title and learning focus jointly. Ask the learner to predict the knowledge, language or method they may need. Scan each sample and spot command words, quantities, clues, conditions or less familiar terms. Agree a manageable time window, remove distractions and prepare appropriate tools such as paper, pencil, ruler, coloured pens, calculator, headphones or a device. Encourage an unaided initial attempt so the work indicates firm understanding and doubt. A quiet pause often strengthens retrieval better than an instant answer.
Make thinking visible
Invite the learner to restate the task in their own words. They can underline essential information, divide a extended problem into shorter steps, create a show, organise details, rehearse a sentence or describe a planned method. Ask why their method fits and whether another strategy could work. When work stops, give a carefully scaled hint: repeat the goal, point towards a useful example, limit the choice, then show only the next step. Return responsibility straight afterwards. Spoken reasoning highlights misconceptions and practises correct subject language.
Check accuracy and understanding
Compare the attempt with visible answer guidance after honest effort. Inspect more than the final work: review the method, explanation, units, details, sequence, spelling or presentation where useful. Ask the learner to identify the initial point where their reasoning changed direction. Complete corrections actively in a different colour or separate space, followed by a short account of the change. For a correct answer, request reasoning and one unaided check. This distinguishes assured knowledge from guessing while building accuracy, reflection and careful working habits.
Consolidate and extend
Finish with retrieval from memory. Cover the example and ask for the main idea, process or fact again. Create one small alternative by changing a value, condition, example, viewpoint or level of support while keeping the learning focus. Invite the learner to write a related question and supply checking guidance. Record one success and one clear next step, perhaps revisiting terminology, practising a calculation, adding details or refining clarity. Recheck that target again in the week because spaced review gives clearer information than instant repetition.
The interactive player, downloadable file and capture 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.
A car travels 120 miles in 3 hours. What is its average speed?
- 30 mph
- 40 mph
- 45 mph
- 60 mph
Sample answer: 40 mph
Explanation: Speed = distance ÷ time = 120 ÷ 3 = 40 mph.
A train travels at 60 mph for 2 hours. How far does it go?
- 90 miles
- 120 miles
- 150 miles
- 30 miles
Sample answer: 120 miles
Explanation: Distance = speed × time = 60 × 2 = 120 miles.
How long to travel 150 km at 50 km/h?
- 2 hours
- 3 hours
- 4 hours
- 5 hours
Sample answer: 3 hours
Explanation: Time = distance ÷ speed = 150 ÷ 50 = 3 hours.
Density = mass ÷ volume. Find the density of 200 g in 50 cm³.
- 2 g/cm³
- 4 g/cm³
- 5 g/cm³
- 10 g/cm³
Sample answer: 4 g/cm³
Explanation: 200 ÷ 50 = 4 g/cm³.
A material has density 8 g/cm³. What is the mass of 10 cm³?
- 40 g
- 80 g
- 0.8 g
- 18 g
Sample answer: 80 g
Explanation: Mass = density × volume = 8 × 10 = 80 g.