Play the artworks
Every challenge is a small generative artwork you steer with sliders and switches. Read the question, play with the variables until the picture solves it, and the canvas tells you when you've matched it. Each one trains one maths idea.
N2.6 Meaning of × and ÷
N2.6 · 1
Equal-Groups Loom
Weave rows of equal groups into an array-rug that must hit the target exactly — then watch every factor pair of the number bloom into a woven portrait.
N2.6 · 2 Blossom Orchard
Turn two dials to plant equal groups of blossoms into a radial rosette until the orchard holds exactly the target — multiplication and division you can watch bloom.
N2.6 · 3 Mandala Multiplier
Grow a glowing petal-mandala where petals × dots-per-petal equals the target — building, sharing, then swapping the two numbers to feel × and ÷ as equal groups.
N2.6 · 4 Loom of Equal Groups
Weave a woven array of equal groups to fill an order exactly, then transpose it to discover a second factor pair — multiplication, repeated addition, and commutativity you can see.
N2.6 · 5 Bloom Machine
Build a radial star from equal groups of sparks — arms × sparks-per-arm — to hit the target, and split a pile evenly to see division too.
F1.1 Halves, quarters & thirds of shapes
F1.1 · 1
Rose Window of Light
Cut a stained-glass rose window into equal wedges and light exactly one — build a keepsake window from your own correct halves, thirds and quarters.
F1.1 · 2 One Equal Part
Tap to colour one whole equal wedge of a mosaic colour-wheel — one half, third or quarter of the shape, seen as a symmetric arc of the colour circle.
F1.1 · 3 Mirror Mandala
Draw a motif, predict the fraction, then fold the circle into equal wedges until one wedge is exactly the ½, ⅓ or ¼ on the card.
F1.1 · 4 Slice Sorter
Drag the knife-lines to cut a treat into fair, equal pieces, then serve the exact half, third or quarter a customer wants.
F1.1 · 5 Bloom of Equal Shares
Divide a living flower-disc into fair equal slices, then light one to build ½, ⅓ or ¼ — equal parts sound and glow the same.
A1.1 Repeating patterns & sequences
A1.1 · 1
Repeat-a-Bead Loom
Copy, continue, and name a repeating bead-core strung along a coiling thread — beads whose shape encodes their place in the rule.
A1.1 · 2 Frieze Weaver
Continue a hidden repeating core of woven Truchet tiles to the end of a gilt frieze, then name its length — copy, continue and describe a pattern (A1.1) with no arithmetic at all.
A1.1 · 3 Pattern Music Box
A repeating bead-core loops round a musical necklace — read the repeat, fill the hidden beads by reasoning where each core-position lands, then name the core length to make it sing all the way round.
A1.1 · 4 Glitch in the Weave
Read the loom's repeating colour recipe, hunt down the beads that broke it, and mend the weave until every column matches — then recolour the recipe and weave your own.
A1.1 · 5 Bloomwheel
Compose a repeating colour core and watch it bloom into a golden-spiral flower — steer the repeat so bead T opens in the target colour, then say the rule.
M3.1 Perimeter & unit conversion
M3.1 · 1
Bridge the Gap — Measure the Span
Grow a glowing bridge from planks measured in different units — convert each to centimetres and add to span the river exactly.
M3.1 · 2 Frame the Mosaic
Lay true-scale metric tiles (1 cm, 10 cm, 1 m) to hit each side's exact target and bloom a stained-glass mosaic — perimeter as the sum of four sides, with real unit conversion.
M3.1 · 3 Mirror Bloom
Size and count glowing petals to grow a bloom whose outline hits a target length — then convert cm to metres or millimetres and type the total to win.
M3.1 · 4 Firefly Fence
Read the moth's target in cm, mm or whole metres, change it to cm in your head, build a firefly fence with that perimeter, and snap it shut.
M3.1 · 5 Rosette Weaver
A glowing pen weaves a symmetry-bloom by walking a polygon lap by lap; size it to hit the metre target — but the sides are in centimetres, so you convert to win.
G1.1 Naming 2-D & 3-D shapes
G1.1 · 1
Slice the Circle into a Shape
Tap corners onto a guide-ring to slice a circle into a triangle, square, pentagon or hexagon — then name what you made.
G1.1 · 2 Snap-a-Shape: The Stamp Workshop
Match a named shape to the stamp with the matching corner-count, then watch it bloom into its own tessellation.
G1.1 · 3 Kaleidostar
Name the mystery shape from its corner (or face) count, then watch a seeded kaleido-star bloom it into being — turn it, sparkle it, or add corners until it melts into a circle.
G1.1 · 4 The Shape Observatory
A wall of living, spinning shapes where the curator mislabelled some plaques — count corners and flat faces to name every shape right.
G1.1 · 5 Bloom of Corners — Name the Shape
Grow glowing shapes and name them by counting corners — the hidden diagonals bloom into a pentagram or Star of David as you go.
P2.1 Line symmetry
P2.1 · 1
Mirror Pond
Heal a cracked petal-creature by giving its twin the same distance from the mirror line; the pond stills to glass and each solve blooms into a growing symmetric garden.
P2.1 · 2 Mirror Mosaic
Complete a grown stained-glass panel by lighting each tile's mirror partner across the seam; fold on demand to check, then watch the solved panel bloom into a kaleidoscope.
P2.1 · 3 Mirror Pond
Complete a creature's reflection across the fold line — tap tiles so the two halves match, then fold to check.
P2.1 · 4 Mirror Match: Catch the Twin
Drag a glowing gem to the true mirror image of a butterfly's wing-tip across vertical, horizontal, or diagonal axes — a wrong drop hatches a warped creature, a right one blooms and joins your growing garden.
P2.1 · 5 Mirror Bloom
Grow a rainbow flower whose fold-lines are its lines of symmetry — dial the mirrors to the target three times to bloom the garden.
D1.1 Charts & tables
D1.1 · 1
Read the Orchard Row
Read a given fruit pictogram through its key and dial the drop-basket to the exact count — key-reading, not symbol-counting.
D1.1 · 2 Sticker Rosette: Build to the Key
A radial pictogram where each tile's shape is generated from the key value K, and placing tiles closes a symmetry rosette when the sticker count hits the target exactly.
D1.1 · 3 Mirror Bloom: Petal Counts
A mirror-symmetric flower where each petal is one pictogram symbol — count the petals to read the bloom and match the target.
D1.1 · 4 Bloom Sorter
Grow three procedurally-blooming flower-columns to match a garden plan — reading the pictogram key (1 flower = 1 or 2) to hit each bar's exact count.
D1.1 · 5 Bloom Garden
A dusk-blue flower garden that IS a bar chart — grow three blooms, then freeze the garden and read "the most" and "how many more" off the numbered scale to earn the butterfly.
R2.1 Chance language
R2.1 · 1
The Chance Bloom
A ring of equal petals that lights up from empty toward full — the flower itself is the impossible→certain meter, and you must name why to win.
R2.1 · 2 Bake the Chance Pie
Paint a breathing 8-slice spinner to match a chance word — impossible, unlikely, even chance, likely, or certain — and commit before it tells you if you're right.
R2.1 · 3 Kaleido-Chance
Paint a glowing spinner-mandala's petals gold and name the chance — impossible, unlikely, even, likely or certain.
R2.1 · 4 Living Gem Wheel
A breathing gem wheel whose gold cells pulse faster the more likely it gets — tune the count to the chance-word, name the reason, then spin.
R2.1 · 5 Chance Meadow
Fill a 10-seed bag, predict its chance-word, then grow a dusk meadow that is a living portrait of your bag.
C3.1 Loops & repetition
C3.1 · 1
Loop the Ring: Hop All the Way Home
Dial the loop count so a hopper's equal hops around a ring of stones close a star polygon exactly back on Home.
C3.1 · 2 The Repeat Stamp
Paint a motif, then set the loop's repeat-count so count × body tiles the ribbon exactly into one flowing woven band.
C3.1 · 3 Mandala Machine
Sculpt one petal, then set your loop's repeat count so it stamps a copy into every slot and closes the ring — loop-count reasoning as a blooming mandala.
C3.1 · 4 Fix the Firework: Match the Sparks
Set a repeat block's count so its loop fires exactly the wanted number of sparks — each count blooms a different golden-angle firework.
C3.1 · 5 Bloomloop: the flower the loop draws itself
Set a loop's repeat count, run it one visible petal at a time, and confirm how many times the body ran to close a glowing OKLCH bloom.
X.1 Problem-solving
X.1 · 1
The Potion Gauge
Model a two-step word problem — multiply the equal groups, take away the used drops — and pour a striped potion to rest exactly on the answer line.
X.1 · 2 Tile Wall: How Many Panels?
Pack a shimmering delivery of tiles into the fewest equal panels — discover why one leftover tile still demands a whole extra panel.
X.1 · 3 Mandala Maker: Close the Ring
Tune petal count and width until copies × width = 360 and the mandala's ring closes — then reshape it into a whole garden of flowers.
X.1 · 4 Operation Orchard
Grow each picture-story into the plant whose shape models its operation (+ − × ÷) until the whole twilight orchard blooms — you choose the operation, never the answer.
X.1 · 5 Petal Bloom
Share one full turn (360°) equally between your petals so the bloom closes the ring — no gap, no overlap.