How to play Tipscale: rules and substitution strategy

Everything you need to play Tipscale, plus tips to get a better score.

How to play

Strategy: substitute, then use the limits

Each scale is an equation. The trick is to swap shapes for things they weigh the same as, until only one kind of shape is left.

Substitution. Say you see: ▲ = ●●● ■ = ▲▲ Swap each ▲ on the second scale for ●●●: ■ = ●●●●●● Six circles weigh as much as one square. A square is at most 9, so a circle can only be 1. That gives ▲ = 3 and ■ = 6.

Use the limits. Weights go from 1 to 9, and that is often the final clue. ●●●● = ▲ means the circle is 1 or 2, because 4 × 3 = 12 is already too heavy.

Let tipped scales cut the options. ▲▲ = ●●● allows ▲ 3 and ● 2, ▲ 6 and ● 4, or ▲ 9 and ● 6. Now add ● > ■■■■: even four of the lightest possible squares weigh 4, so ● is at least 5. Only ● = 6 and ▲ = 9 are left, and then 6 > ■■■■ forces ■ = 1.

Or lean on the answers. Not in the mood for pure logic? Make a sensible try: the ↑ and ↓ hints narrow every shape down, and the scales tip with your numbers, so you can spot the ones that don't balance before you press Weigh.

Sharing shows one row per try, without giving away any weight: ⬆️🟩⬇️🟩 🟩🟩🟩🟩

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