Ratio and proportion

There are 112 NRICH Mathematical resources connected to Ratio and proportion
Punky Fish
problem

Punky Fish

Age
14 to 16
Challenge level
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A male punky fish has 9 stripes and a female punky fish has 8 stripes. I count 86 stripes on the fish in my tank. What is the ratio of male fish to female fish?
Hexagon Slices
problem

Hexagon Slices

Age
11 to 14
Challenge level
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Weekly Problem 37 - 2007
This regular hexagon has been divided into four trapezia and one hexagon.... what is the ratio of the lengths of sides p, q and r?
Eight Ratios
problem

Eight Ratios

Age
14 to 16
Challenge level
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Two perpendicular lines lie across each other and the end points are joined to form a quadrilateral. Eight ratios are defined, three are given but five need to be found.
Number the Sides
problem

Number the Sides

Age
7 to 11
Challenge level
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The triangles in these sets are similar - can you work out the lengths of the sides which have question marks?
A Scale for the Solar System
problem

A Scale for the Solar System

Age
14 to 16
Challenge level
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The Earth is further from the Sun than Venus, but how much further? Twice as far? Ten times?
A Chance to Win?
problem

A Chance to Win?

Age
11 to 14
Challenge level
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Imagine you were given the chance to win some money... and imagine you had nothing to lose...
Ratio Sudoku 3
problem

Ratio Sudoku 3

Age
11 to 16
Challenge level
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A Sudoku with clues as ratios or fractions.
Wedge on Wedge
problem

Wedge on Wedge

Age
14 to 16
Challenge level
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Two right-angled triangles are connected together as part of a structure. An object is dropped from the top of the green triangle where does it pass the base of the blue triangle?
Ratio Sudoku 2
problem

Ratio Sudoku 2

Age
11 to 16
Challenge level
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A Sudoku with clues as ratios.
All About Ratios
problem

All About Ratios

Age
16 to 18
Challenge level
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A new problem posed by Lyndon Baker who has devised many NRICH problems over the years.