Rooms
Do one, then send the results back.
Not sure how one works? Read this first.
- The bar modelWhen someone gives someone else something — the trick behind Drill 1, Question 5. Tap “Teach me this” and it explains itself out loud.
- How many rectangles?Counting without losing count — pick two lines, then two more. (#32)
- How many ways from A to B?The add-as-you-go trick, and the bump in the figure that catches people. (#32)
- Sharing in a ratioAn takes 3 while Bình takes 4, and they end up with 133 — why the parts trick works, and what changes when the question gives you a gap instead of a total. (#32)
- Two towers, the same height6 cubes reach as high as 5 cylinders — so why does the working say 5 : 6? Reading a ratio off a picture, and the check that catches you when you read it backwards. (#32)
- The bead jar that keeps filling upRed beads keep arriving, but the green ones never change — the trick behind Question 21 of SMC 2024.
- The box, the watermelon, and the strawberriesWork out one weight from what the total GAINED, not what the box itself weighs — Question 23 of SMC 2024.
- Balloons all the way round the roomA pattern that repeats every 80 cm — count repeats, not balloons — Question 24 of SMC 2024.
- Mangoes and pears, bought in matching groupsBuying the same number of two fruits — find a group size both deals divide evenly — Question 25 of SMC 2024.
- Three fruits, weighed two at a timeAdd all three weighings and halve — turning pair-weights into one total — Question 26 of SMC 2024.
- Cutting three ropes into equal piecesThe biggest piece that fits all three ropes with nothing left over — Question 27 of SMC 2024.
- The spider that slipped down the wallClimbing, slipping, and climbing again — fractions of a wall with a hidden whole — Question 29 of SMC 2024.
- Working backwards through the libraryStarting from the end and undoing each step — Question 31 of SMC 2024.
- How many sixths fit in 2 wholes?Cutting whole shapes into sixths — Question 2 of the SMC 2026 mock.
- Muffins, and the cheapest way to buy 57Three different deals, and pricing the leftovers two ways — Question 10 of the SMC 2026 mock.
- Three friends, weighed two at a timeThe same trick as SMC 2024's fruit — sort the readings before using them — Question 15 of the SMC 2026 mock.
- Trees in a row — count the gaps, not the treesThe classic equally-spaced trap — Question 19 of the SMC 2026 mock.
- Mary, Larry, and the plates that cost the sameWhen two people spend the same amount, the GAP between them never changes — Question 21 of the SMC 2026 mock.
- Bento, mochi, and tea for three friendsSwapping mochi for tea, then cancelling the bento sets — Question 22 of the SMC 2026 mock.
- Squares cut from a sheet, with a strip left overFitting squares along a length, and what the leftover strip tells you — Question 26 of the SMC 2026 mock.
- The tortoise that never stops, and the rabbit that restsUsing the steady racer as the clock — Question 27 of the SMC 2026 mock.
- Two rectangles overlapping to make a squareWhy the overlap hides edges, and how much perimeter it takes with it — Question 28 of the SMC 2026 mock.
- Roses, lilies, daisies — and a basket that keeps growingBuying more daisies grows the total you are comparing against — Question 29 of the SMC 2026 mock.
- A corridor measured two different waysPlants every 4 m, lanterns every 6 m — comparing over a length both fit — Question 30 of the SMC 2026 mock.
- Round tables, rectangular tables, and 205 hungry customersTesting every count inside a narrow range — Question 31 of the SMC 2026 mock.