Slug Salad

Each slug eats a number equal to everything it has eaten before it — addition with a reason to check and go back.

The Slug Salad board

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Grades
2–4
Subjects
Adding & Subtracting, Counting & Estimating
Kind
Puzzle
Cost
Free, no account, no ads
Original
Slug Salad at MathPickle

What it is

Slugs are eating a leaf, and the puzzle is to work out the path each one crawled. Every step lands on a bigger number than the last. A slug is full when the number it has just landed on equals everything it ate before, added up — and a full slug may go home, or carry on and fill up again. Every hexagon has to be eaten by exactly one slug.

The rules

A finger drags a slug across 1, 2, 3 and 6 and it settles onto the leaf; a second slug takes 4, 5 and 9, and the whole leaf is eaten.9451236
Together, slugs eat a whole leaf.
A slug crawls 2, then 5, then 9, and steps on to 4. The 4 turns red and the leaf flinches: 4 is smaller than 9, so that step is not allowed.9451236
Slugs eat bigger and bigger numbers every time they move.
A slug eats 1, then 2, then 3, then 6. One and two and three make six, so the slug is full and settles onto the leaf.94512361+2+3=6
A slug can only stop if the number it lands on is the sum of all the previous numbers.

What it gives you to practise

Running totals, held in the head and checked against the leaf. The fullness rule is a doubling rule in a costume: a slug that has eaten 1, 2 and 3 is carrying 6, so 6 fills it. You add forwards to test a path and subtract backwards to see why one cannot work. The board also lets you mark a seam as a wall — your own note that no slug crawled that way — which is how a hunch becomes something you can point at.

In a classroom

Gordon Hamilton, MathPickle. Grades 2–4 on paper, and it stays interesting well above that, because the later leaves carry several slugs whose paths cross and interleave.

Share or embed

The whole puzzle at one address, with every board in it. Whoever opens it stays inside it, and their progress stays in their own browser.

Play Slug Salad

Near it on the shelf