Seven word problems set at a summer fair, all on unequal sharing and grouping for Year 6 maths. Pupils split a £40 budget between stalls in the ratio 3:5, then work harder questions like finding how many raffle tickets Year 5 sold when Year 6 sold 60 more in the ratio 5:2. Detailed worked solutions included. Matched to two England National Curriculum ratio objectives.
Ratio and proportion
“Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples”
Every problem shares or groups quantities in a given ratio.
Ratio and proportion
“Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts”
The difference-style questions need scaling from one part to the whole.
All seven problems sit in one running fair story, from stall budgets to raffle tickets.
From sharing a £40 budget in the ratio 3:5 up to difference questions like the 60-ticket gap between year groups.
Worked solutions with full reasoning for all seven problems.
Main activity
The fair setting holds a full reasoning lesson on ratio sharing.
SATs revision
Ratio problems where the difference is given are a classic reasoning-paper trap.
Paired work
Pairs can bar-model each problem, then compare against the worked solutions.
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