This problem encourages children to use counting-on techniques, but offers you an opportunity to introduce them to the idea of multiples. Talking to the group about total lengths of blue sticks which match lengths of red sticks allows you to model the appropriate language, for example "$6$ is a multiple of $2$ and $6$ is also a multiple of $3$". Having cubes available for the children to use is a necessary part of this problem, as it makes it accessible to all. However, it has a lot of scope to be taken further - the open-ended nature of the activity also allows children to make a generalisation about all the lengths of sticks that can be made from both blue and red. Although many may not be able to verbalise this formally, they will certainly be able to look for patterns in the numbers that are possible and this can lead to a fruitful discussion. You could also talk about how to record what they have found, and this is where squared paper might be useful. This work would make a lovely display, for example using sticky red and blue squares on a large grid.