Learn your numbers through the squares. A number as a flat square of dots — 3 × 3 = 9.
All 100 squares, against the clock.
Six games, in order. See a square, tap one, see why it grows by the next odd number, build one, measure the gaps, then climb the levels. After that the Speed Run is just remembering what you've already seen.
The simplest one. See any number as a flat square of dots — 3 × 3 = 9.
2 · TAPOne tap: the whole square fills with colored dots — 10 red and 6 purple together — and the voice says "sixteen", the whole number. Squares from 1² up past 50². Counts in 7 languages.
3 · WHY9 plus how many? Add 3, then 5, then 7… see WHY each square grows by the next odd number, one dot at a time.
4 · BUILDGrow the L-shaped piece until it fits the empty border exactly, then lay it down and watch the dots count themselves up — 9, 10, 11 … 16. Each border is the next odd number and gets its own color, so the finished square is a rainbow of rings: 1, 3, 5, 7 … 19, all the way to 100.
5 · GAPS4 + ? = 9. 49 + ? = 64. The gaps between squares are 3, 5, 7, 9 … each 2 longer than the last — a ruler whose marks keep spreading out. Never asked in order, so you have to measure every gap fresh. Two numbers can't tell you which ruler you're on; three can.
6 · LEVELSDoubles and squares to 12, then 13 · 14 · 15, then Doubling: 2 × 2 × 2 × 2 = 16 and on up to 256, then Fibonacci: add the last two to get the next, up to 144 (a square!). Every level timed and starred; beat one to unlock the next. After the track: 19 more levels, 17² all the way to 100².
7 · SPEEDNow type all 100, as fast as you can.
The same squares the other way round, past 100, between each other, and up into three dimensions.
The Speed Run backwards: see √64, type 8. All 100, with a Top 10.
PAST 100The times table stops at 12 × 12. This goes to 110 × 110. Cut the strip of 5 off the side of 35 × 35, slide it underneath, and it is 30 by 40: 3 × 4 = 12 hundreds, plus the 25 corner — 1225. Then backwards: 1225 is the square of what?
FINDA number lands in a gap. Which square is below it, which is above, and which one is it nearer? Squares to 100×100, cubes to 25×25×25.
INTO 3-DSquares (two dimensional) and cubes (three dimensional) in one game — the bridge to the Cubes page.
Earlier copies of the big-dot tap game. Parked here, not deleted — they still fill one place value per tap ("ten… sixteen").