GCSE Maths - Year 1 Week 11
Week 11: Unit 3 Consolidation & Assessment
This is the final week of Unit 3. We spend two days pulling every skill from Weeks 9–10 together into mixed, real-life problems, then a self-directed review, then the Unit 3 assessment.
Same shape as always: warm-up, teach, practice (Foundation, Intermediate or Higher — pick one), mark, exit ticket.
Monday — Mixed Ratio & Proportion Problem Solving
Today's not new content, it's about applying ratio and proportion together in longer, exam-style problems.
Warm-up (5 min): Corbett Maths 5-a-day (GCSE), mixed.
Practice (30 min): Pick one path — every question here combines two or more skills from this unit:
Foundation: Corbett Maths — Ratio: Problem Solving, the first few questions only.
Intermediate: Corbett Maths — Ratio: Problem Solving, working through the page 1-2
Higher: Corbett Maths — Ratio: Problem Solving, the later, harder questions on pages 3-5, plus Transum — Ratio, the hardest level.
Mark & fix: As before — for multi-step problems, note where things went wrong, not just whether the final answer was right.
Exit ticket: Two brothers share some money in the ratio 3:5. The older brother gets £24 more than the younger one. How much money was shared in total? Show every step.
Tuesday — Real-Life Applications: Best Buys, Scale & Conversion Together
What you're doing: Working through problems that combine best buys, scale, and unit conversion in one question, closer to how these ideas actually show up in real life than any single-topic worksheet.
Warm-up (5 min): Transum — Best Buys, a couple of quick questions — recall from Week 10.
Practice (30 min): Pick one set below.
Foundation set:
A 500g bag of pasta costs £1.20. A 1kg bag costs £2.10. Which is better value?
Convert 1.5 litres into millilitres.
A map has a scale of 1cm : 2km. Two villages are 4cm apart on the map. What's the real distance?
A recipe for 4 people needs 300g of rice. How much rice is needed for 6 people?
Intermediate set:
A 750ml bottle of juice costs £2.25. A 1.5 litre bottle costs £4.05. Work out the cost per 100ml of each, and state which is better value.
A model car is built at a scale of 1:24. The real car is 4.8 metres long. How long is the model, in centimetres?
A recipe for 5 people needs 450g of flour and 200ml of milk. Scale the recipe to serve 8 people, giving both amounts.
Convert a speed of 3000 metres per minute into kilometres per hour.
Higher set:
Two boxes of cereal are on sale: a 750g box for £3.15, and a "20% extra free" version of a normally-500g box priced at £2.20 for the normal size. Work out the size and price of the "extra free" box, then determine which of the two boxes is better value per 100g.
A scale model of a building is built at 1:200. The model is 85cm tall. The building has floors that are each 3.5m tall in real life. How many floors does the building have? (Round sensibly and explain your rounding.)
A recipe for 6 people uses 450g of flour, 3 eggs, and 200ml of milk. You have exactly 300g of flour and want to make as much of the recipe as possible while keeping the ratio of ingredients correct. How many people can you serve, and how much milk and how many eggs will you need? (Assume eggs must be a whole number.)
A cyclist travels at 24 km/h. Convert this speed into metres per second.
Answers (check after attempting, not before):
Foundation: 1) 500g bag: 0.24p/g; 1kg bag: 0.21p/g — the 1kg bag is better value 2) 1500ml 3) 8km 4) 450g
Intermediate: 1) 750ml: 0.3p/ml; 1.5l (1500ml): 0.27p/ml — the 1.5 litre bottle is better value 2) 20cm 3) flour 720g, milk 320ml 4) 180 km/h
Higher: 1) "extra free" box is 600g for £2.20 (0.367p/g); the 750g box is 0.42p/g — the "extra free" box is better value 2) 85cm at scale 1:200 = 170m real height; 170 ÷ 3.5 ≈ 48.6, so 48 whole floors 3) 300g flour is 2/3 of 450g, so scale everything by 2/3: serves 4 people, milk = 133.3ml (or ≈133ml), eggs = 2 (since 2 is the largest whole number not exceeding 3 × 2/3 = 2) 4) 24 km/h = 24000m ÷ 3600s ≈ 6.67 m/s
Wednesday — Unit 3 Mixed Review
Today is self-directed. There's no new content — instead, go back through your Week 9–10 reflections and pick out whichever topics you rated lowest.
Warm-up (5 min): Corbett Maths 5-a-day (GCSE), mixed.
Review (30 min):
Re-watch whichever teaching video from Weeks 9–10 felt weakest.
Revisit whichever practice tier (Foundation, Intermediate or Higher) felt hardest at the time on that topic.
If nothing specific stands out, work through the Ratio Lesson Starters and Online Activities page.
Exit ticket: Write down the two topics from Unit 3 you feel least confident about. Be specific, not "ratio" but "combining two separate ratios into one three-part ratio."
Thursday — Further Consolidation
Practice (30–40 min): Corbett Maths — Exam Style Questions on Ratio, attempted in full and timed if you'd like some exam-condition practice ahead of tomorrow. This is a different question set from Monday's, so it's genuinely new practice, not a repeat.
Mark & fix: Mark against your own working carefully, and flag anything still shaky for one more look before tomorrow.
Friday — Unit 3 Assessment
Assessment (45–50 minutes, timed): Complete the Unit 3 assessment, covering everything from simplifying ratios through to unit conversion.
Marking: Mark against the answers provided in the mark scheme. For anything wrong, note down the specific topic and sub-skill, not just "got it wrong."
Log for later: Write down 2–3 topics to revisit during the interleaving weeks later in the course, so nothing from Unit 3 gets permanently forgotten once we move on.
Next unit: Unit 4 begins — Geometry Foundations, starting with angle facts and the properties of shapes.
