This sheet practices getting ratios into 1:n for the Unitary Method but also interleaves sequences. It’s low threshold, high ceiling in that students can just manipulate ratios (simplify in the first set) but you can ask some fairly challenging questions including:
| What would Q 50) be? |
| What would Q n) be? |
| Write a rule explaining the sequence |
| What would happen if you kept this sequence going? |
Here is a simple pdf document (with them printed 2 to a page):
Here is the original spreadsheet where you can hide / reveal the answers or tinker with the questions. Pretty tricky to work out the generalised 1:x form for some of these!
mho maths 