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There are 48 sheets and no required order. If you would rather not choose, here is a first thirty nights that mixes school math with new ideas and keeps the surprises coming. Each is ten to fifteen minutes; the starred problem is extra. Tick each night off.

The first thirty nights

1. Proof with letters
2. Un-multiplying: the sum and product hunt
3. One counterexample is enough
4. If a product is zero
5. A universe with four rules
6. Three ratios that measure an angle
7. How long until your money doubles?
8. The parabola's mirror line
9. How a map app finds the shortest route
10. Adding versus multiplying
11. The puzzle where 64 = 65
12. Why √50 is 5√2
13. The miles-per-gallon illusion
14. Stars and bars
15. Two triangles worth knowing by heart
16. Matching without regrets
17. The nth term
18. The puzzle that cannot be solved
19. Five numbers that draw a data set
20. Finding your way with angles
21. Probability you can measure with a ruler
22. Change the subject
23. Adding with switches
24. When one doubles, the other halves
25. Playing noughts and crosses perfectly
26. Three facts fix a triangle (usually)
27. How long does a medicine last?
28. Why n³ − n always divides by 6
29. Two questions at once
30. The unbreakable code

After night thirty, pick whatever looks interesting. The Connections sheets are good for tired evenings: more reading, less calculation. The demos are for screens, five minutes each.

Tick-off card

Every grade 9 sheet. Print this page, stick it somewhere visible, and tick them off. Finish a whole track and tell someone.