Scroll down for details of the winners, runners-up and commended entries. View the winners in the 2022 Gallery or click on the direct links below

Watch again the 2022 Edition prize ceremony online by clicking here (start: 17m30s)— held online live on Saturday 5th November and available to watch again for 180 days (beg. of April 2021). Watch without the MS Teams app by clicking ‘Watch on the web instead’ and then ‘Join anonymously’ (note on mobile, you need to also click use ‘Desktop site’ in the browser menu to be given this option)

🚨 Attention teachers! A compressed zip file containing all 2022 prize winners is available here — please note this is for educational purposes only, reproduction or republishing is by permission only (get in touch)

Categories

The 2022 categories were in the wild, the ‘why’ of shapes and complete the pattern

Winning entries made deep connections between the subject(s) of their photo and the maths inside them and explained this in their commentary

in the wild

Have you seen some maths in the wild? Perhaps hiding in the space-saving honeycomb of bees, the symmetry of a starfish, or the fractal glory of Romanesco broccoli?

This category captured the wild side of maths in nature!

the ‘why’ of shapes

Can you see the maths inside the shapes and spaces around us? What shapes can you see? Why have these shapes been chosen and not other shapes? How do the shapes you see fit together …or not!? Where can you find similar shapes? Why are the same shapes used in different places? Why are the same shapes used for different tasks?

🚲 What shape is used on a bicycle wheel? Why is this shape and not others used for a wheel? What happens if another shape is used? Can you find another shape that works for a wheel? What would be different? What would be the same?

🏗 What shapes are used in building the spaces around us? Why are these shapes chosen? Can you find another place where the same shapes are used? What is the reason for these shapes to be used? Where will you look? What will you discover?

🔺🔹⬣⬠ Why regular triangles, square and hexagons in tiles, and not pentagons? 🚧 Why traffic cones and not traffic cylinders? 📦 Why cuboid cardboard boxes and not spherical?

⚽️🎱🏹🪁🎻🎺 The ‘why’ of shapes was a brand new category launched for 2022

complete the pattern

This category is different from in the wild and the ‘why’ of shapes

Here two photos were presented and entrants were asked to complete the pattern with a photo and commentary of their own!

With a choice between ‘set 1’ and ‘set 2’. Their photo replaces the jigsaw puzzle with a question mark on the right-hand side

An example set along with possible photos and commentaries that complete the pattern is available here. You can also see previous complete the pattern winners from Maths Week Scotland 2019 and Maths Week Scotland 2020

In 2022, entrants were invited to complete the pattern for set 1 — stars-rope-? and set 2 — candle-hourglass-? see what connections they made by clicking the links

set 1 — cows-boot-?

Click on set for larger image

set 2 — red-blue-?

Entrants in this category submitted a single photo to complete the pattern of ‘set 1’ or ‘set 2’. They also submitted a commentary explaining why their photo completes this set. There was no single right answer, and the submissions were very creative!

Winning entries in this category made clear through their commentary the pattern that links all three photos

Category Winners

The winners in each category received a £50 Amazon voucher & certificate

• the ‘why’ of shapes winner — £50 Amazon voucher & certificate
  • Ella McGowan (P2) with Focusing Through Shape
• in the wild winner — £50 Amazon voucher & certificate
  • Ayla Denby (P5) with Ferny Fractals
• complete the pattern winner — £50 Amazon voucher & certificate
  • Amelia Oliver (P2) with The Guitar Fairy

Levels

Submissions were considered in the below levels

• Early Years — pre-school children & P1 pupils
• First Level — P2–P4
• Second Level — P5–P7
• Third/Fourth Level — S1–S3
• Senior Phase — S4–S6
• Another Level — for adults, parents, teachers, photographers, all mathematical artists (or artistic mathematicians!) out-of-school
  

Level Winners

The winners in each level received a £20 Amazon voucher & certificate. Learn more about the levels above

• Early Years winner — £20 Amazon voucher & certificate
  • Oliver Robertson (P1) with Cat Face
• First Level winner — £20 Amazon voucher & certificate
  • Jayden Yip (P3) with The Brick House
• Second Level winner — £20 Amazon voucher & certificate
  • Ella Barford (P5) with Can a Dolphin do my Maths Homework?
• Third/Fourth Level winner — £20 Amazon voucher & certificate
  • Georgina Murray (S2) with Cows, Boot, Kelpie Cuddle
• Senior Phase winner — £20 Amazon voucher & certificate
  • Niamh Clark (S5) with The ‘F’ is Fundamental!
• Another Level winner — £20 Amazon voucher & certificate
  • Iona Murray (NA) with The Birds and the Bees
    

Level Runners-up

Runners-up in each level received a £10 Amazon voucher & certificate. Learn more about the levels above

• Early Years runner-up (x 2) — £10 Amazon voucher & certificate
  • Balivanich School nursery (P0) with Beag, Mòr, Meadhanach Mòr.
  • Welly Walkers Childminding Family (P0) with Close-up Cones
• First Level runners-up (x 2) — £10 Amazon voucher & certificate
  • Rebecca, Jeen and Mirin (P4) with The Wonder of Water
  • Kenzie Walker (P3) with Out of this World
• Second Level runners-up (x 2) — £10 Amazon voucher & certificate
  • Elle MacDonald (P7) with Exercise in Optimisation
  • Lillyanna Robb (P6) with Red Sky at Night
• Third/Fourth Level runners-up (x 2) — £10 Amazon voucher & certificate
  • Fergus Rorke (S2) with Fibonacci Spirals
  • Elza Lee (S3) with Cubed Courtyard
• Senior Phase runners-up (x 2) — £10 Amazon voucher & certificate
  • Tula Macrae (S6) with The Movement of Light Through Prisms
  • Arwen Burns (S4) with Maths is Art!
• Another Level runners-up — £10 Amazon voucher & certificate
  • Menspace Airdrie (NA) with Octowash
  • Katherine Tierney (NA) with Forth Bridges

IMA Prize for Best Commentary

With the generous support of the Scottish Branch of the Institute of Mathematics & its Applications (IMA), the photo with the best overall commentary received a £50 Amazon voucher & certificate

• best overall commentary — £50 Amazon voucher & certificate
  • Cellie Beban (S6) with The Swell of the Shell, I’ll Tell…
    

Additionally, the best commentary in each level each received a £10 Amazon voucher & certificate

• Early Years best commentary — £10 Amazon voucher & certificate
  • Julia Piatto (P1) with Wind Turbines
• First Level best commentary — £10 Amazon voucher & certificate
  • Sgoil Stafainn — GM 1–2 (P2) with Sgòthan a’ Sgeith — Flying clouds
• Second Level best commentary — £10 Amazon voucher & certificate
  • Gabriele Kurgonaite (P5) with Round Bell and Many Tubes in Various Shapes
• Third/Fourth Level best commentary — £10 Amazon voucher & certificate
  • T Sarab (S1) with The Mathematician and the Flower
• Senior Phase best commentary — £10 Amazon voucher & certificate
  • Jennifer Huang (S5) with The Hanging Chain
• Another Level best commentary — £10 Amazon voucher & certificate
  • Norma McDowall (NA) with Mirror, Mirror

The winners of IMA best commentary showed in their commentaries connections between different areas of Mathematics, or explained well new insights into our daily lives, new ways of considering familiar things, or communicated well and in appropriate detail the Mathematics behind their photo

All entries were automatically considered for these prizes

Commended Entries

Commended Entries each received a certificate

• Early Years — pre-school children & P1 pupils
  • Lucy Hannett (P1) with Mathematical Beauty of Flowers
  • Ethan Steel (P1) with Pretzel Pattern
  • Ciaran Cunningham (P0) with Maths in Playing Keyboards
  • Aaron Ayres (P0) with Hexagons Take Over
  • Lewis Logan (P1) with Bing Bong Bang
• First Level — P2–P4
  • Sonny Inglis (P4) with Tessellating
  • Albert, Hugo & Maisie (P3) with Zebra Patterns
  • Isabella Wilson (P4) with Purple Sky
  • Grayson Donnelly (P2) with Shapes of Space
  • Hope Wilson (P3) with Seeing Double
  • Hope Wilson (P3) with Spots and Dots
  • Eilidh Gordon (P3) with Puddle
  • Emily Hannett (P3) with Raindrops
  • Gaia Lawson (P2) with Scary Monster
  • Hannah Duke (P2) with Circles
  • Harry Bethell (P2) with Honey Hexagons
  • Sgoil Stafainn — GM 3–4 (P4) with Ceistean Mu Ahraobhan (Questions About Trees)
• Second Level — P5–P7
  • Sophie Aitkenhead (P7) with Symmetry
  • Ella F (P5) with Sunny Multiplication
  • Oliver Bird (P5) with Geometry in Nature
  • Freddie, Oliver, Edward (P7) with Cow Products
  • Holly, Fin (P6) with A Farmer in Hand
  • Myla Rose Khouly (P6) with The Perfect Shot
  • Nihal Jhund (P6) with Spider’s Web
  • Nihal Jhund (P6) with Bricks
  • Rai Jhund (P5) with Luck of the Irish
  • Rai Jhund (P5) with Yellow
  • Jasmine Shermohammed (P5) with The Equation of Canter
  • Sushanth Gowd (P5) with Light and Dark
  • Brody Shakespeare (P5) with Primary Colours
  • Chloe Bonar (P7) with Spot the Super Sea Slug!
  • Dylan Atkinson Macdonald (P7) with Strong Bridge
  • Jacob Hart (P6) with The Honey Factory
  • James Norwood (P7) with Boy on a Buoy
  • William Campbell (P7) with Keep the Ball Rolling… or Not!
  • Samuel Kerr (P7) with Stone Arch
• Third/Fourth Level — S1–S3
  • Seumas McGuire (S3) with Boats
  • Rowan Haines (S1) with POINTless Maths
  • Kooky Kows (S2) with Moo Moo Maths
  • Georgina Murray (S2) with Where Has All the Water Gone?
  • Georgina Murray (S2) with Arches, Arches Everywhere
  • Aaron Kennedy (S1) with Hello, Cow Number 200006
  • Talvin Jhund (S2) with Dog Days
  • Ethan John Short (S1) with Electronic Maths
  • Alyssia Rowing (S1) with The Toadstools
  • Dan Strudwick (S3) with Hiding in the Trees
  • Almila Kaplangi (S1) with Soaking Yellow
  • Rachel Kelly (S1) with The Dach-ing Skater
• Senior Phase — S4–S6
  • Jeen, Rebecca and Mirin (S4) with Surface Tension
  • Anna Pakravan (S6) with Green
  • Carys Whytock (S6) with The Maths Hidden in Beauty
  • Grace Melville (S6) with Volume = Base Area × Length
  • Leah Murray (S6) with Snail
  • Sasha Hoey (S6) with Searching Between the Lines into the Unknown
  • Alec Miller (S6) with Green Grass
  • Aleesha Doherty (S6) with It was all Yellow
  • Marnie Martin (S4) with How Much Hay?
  • Sandy Bishop (S6) with Roger 4
  • Tom Roseburgh (S4) with Pattern at the Lunch Hall
  • Tom Roseburgh (S4) with RGB
• Another Level — for adults, parents, teachers, photographers, all mathematical artists (or artistic mathematicians!) out-of-school
  • Buchanan High Chess Club (NA) with The Changing Meaning of Shapes
  • Katherine Tierney (NA) with Ice Cream Cloud

Schools Prizes

• Highly Commended School for outstanding commitment & quality of entries — £100 Amazon voucher & certificate
  • Port Ellen Primary School
• Commended School for outstanding commitment — certificate
  • Buchanan High School
  • Insch Primary School
  • Kinross High School
  • Larbert High School
  • Lasswade High School
  • St Boswells Primary School