![1 Step, 2 Step Poster](/sites/default/files/styles/medium/public/thumbnails/content-id-7199-icon.png?itok=c8xvcrls)
![Painted Cube Poster](/sites/default/files/styles/medium/public/thumbnails/content-id-7203-icon.png?itok=lKKzBvj3)
![Elevenses Poster](/sites/default/files/styles/medium/public/thumbnails/content-id-8004-icon.png?itok=YBMP_XfJ)
![Mystic Rose Poster](/sites/default/files/styles/medium/public/thumbnails/content-id-8013-icon.png?itok=EThkmS21)
![Slick Summing](/sites/default/files/styles/medium/public/thumbnails/content-id-6710-icon.jpg?itok=XiU2im4-)
problem
Slick Summing
Watch the video to see how Charlie works out the sum. Can you adapt his method?
![A little light thinking](/sites/default/files/styles/medium/public/thumbnails/content-id-7016-icon.png?itok=jz12ncES)
problem
A little light thinking
Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?
![Steel Cables](/sites/default/files/styles/medium/public/thumbnails/content-id-7760-icon.png?itok=iTS5VCIy)
problem
Steel Cables
Some students have been working out the number of strands needed for different sizes of cable. Can you make sense of their solutions?
![Double Trouble](/sites/default/files/styles/medium/public/thumbnails/content-id-8096-icon.png?itok=CiOWH42C)
![Picture Story](/sites/default/files/styles/medium/public/thumbnails/content-00-09-15plus2-icon.gif?itok=7h9-QNhW)
problem
Picture Story
Can you see how this picture illustrates the formula for the sum of the first six cube numbers?
![Attractive Tablecloths](/sites/default/files/styles/medium/public/thumbnails/content-03-03-six1-icon.gif?itok=SiNNF02K)
problem
Attractive Tablecloths
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
![Painted Cube](/sites/default/files/styles/medium/public/thumbnails/content-id-2322-icon.png?itok=r3fcelpR)
problem
Painted Cube
Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?
![Mystic Rose](/sites/default/files/styles/medium/public/thumbnails/content-id-6703-icon.png?itok=PnnJhltQ)
problem
Mystic Rose
Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.
![Partly Painted Cube](/sites/default/files/styles/medium/public/thumbnails/content-id-6903-icon.png?itok=30VqrbOD)
problem
Partly Painted Cube
Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?
Image
![Patterns and Sequences - Stage 4 STEM footer Patterns and Sequences - Stage 4 STEM footer](/sites/default/files/styles/large/public/thumbnails/content-id-13487-STEMlogo.png?itok=X0m04y6W)
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.