nrich
enriching mathematics
Skip over navigation
Home
Home
Students
Guide and features
Teachers
Guide and features
STEM
Science, Technology, Engineering and Mathematics
AskNRICH
Forum
early years
Featured Early Years Foundation Stage; US Kindergarten
Early years
primary
Featured UK Key Stage 1&2; US Grades 1-4
Primary teachers
secondary
Featured UK Key Stage 3-5; US Grades 5-12
Secondary teachers
primary lower
Featured UK Key Stage 1, US Grade 1 & 2
primary
primary
Featured UK Key Stage 2; US Grade 3 & 4
secondary lower
Featured UK Key Stages 3 & 4; US Grade 5-10
secondary
secondary upper
Featured UK Key Stage 4 & 5; US Grade 11 & 12
Topics
translate
Problem
Getting Started
Solution
Teachers' Resources
Printable page
You may also like
The Fastest Cyclist
Andy is desperate to reach John o'Groats first. Can you devise a winning race plan?
Gutter
Stage: 4
Challenge Level:
A plastic gutter is designed to catch water at the edge of a roof.
Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter?
Creating expressions/formulae
.
Manipulating algebraic expressions/formulae
.
smartphone
.
Area
.
Scale factors
.
Similarity
.
Inscribed circle
.
Perimeters
.
Optimisation
.
Mathematical reasoning & proof
.