If your child did well in a UKMT maths challenge and came home with an invitation to something called the Kangaroo, the Olympiad or the Cayley, this is the guide for you. These are the follow-on rounds โ€” the harder, invitation-only papers that a small number of strong performers are asked to sit next. They can't be entered directly; your child earns a place through the Junior or Intermediate Challenge. Here's what each one is, and โ€” the bit that catches parents out โ€” which one actually leads somewhere.

First, the honest map

There are three follow-on rounds a KS3 family might meet, and they come from two different starting points:

  • After the Junior Maths Challenge (Year 8 and below): the Junior Kangaroo and the Junior Mathematical Olympiad (JMO).
  • After the Intermediate Maths Challenge (all of KS3): the Pink/Grey Kangaroo and, for KS3, the Cayley Olympiad (Year 9 and below).

You don't sign up for any of these. They're invitation-only, triggered automatically by a strong score in the challenge your child already sat. If no invitation arrives, that's the norm, not a failure โ€” the great majority of children who sit the challenges aren't invited onward, and still had a thoroughly worthwhile time.

The Kangaroo rounds

The Kangaroo papers are the "you did really well โ€” here's a harder, more interesting paper" round. They're still multiple-choice, but pitched above the main challenge, and they're for high scorers who fell just below or around the Olympiad cut-off.

The Junior Kangaroo follows the Junior Challenge; the Pink and Grey Kangaroo follow the Intermediate Challenge (in 2026 those Intermediate Kangaroos ran on 19 March). They're invitation-only, sat in school, and a lovely thing to be asked to do. Exact dates shift year to year, so check the official UKMT pages for the current season.

The Junior Mathematical Olympiad (JMO)

This is the big one after the Junior Challenge. The Junior Mathematical Olympiad invites roughly the top 1,000 to 1,200 pupils nationally โ€” so it's a genuine distinction just to be asked.

It's also a real step up in style. Where the challenges are multiple-choice, the JMO is a two-hour paper of six olympiad-style questions where your child has to write out full solutions and show every step of their reasoning. There's no guessing your way through; you have to argue your maths.

The 2026 JMO ran on 9 June. Awards are generous for those who take part: around 40 Gold, 60 Silver and 100 Bronze medals, plus book prizes, with a Distinction for roughly the top quarter and a Merit for the next 40% or so. For a Year 7 or 8, sitting a two-hour proof paper at all is an achievement worth being proud of, medal or not.

The Cayley Olympiad

The Cayley is the written Olympiad that follows the Intermediate Challenge, and it's the one aimed at Year 9 and below โ€” so it's the KS3-relevant rung of that ladder. (Its siblings, Hamilton and Maclaurin, are for Years 10 and 11.) Like the JMO, it swaps quick multiple choice for a smaller number of longer, write-it-all-out problems. Dates move year to year, so check the UKMT Intermediate page for the current season.

Facts at a glance

Round Who's invited Style When
Junior Kangaroo High scorers from the Junior Challenge Multiple-choice, harder than the JMC Follows the JMC โ€” check the official site for this year's date
Junior Maths Olympiad (JMO) Top ~1,000โ€“1,200 from the Junior Challenge 2 hours, 6 written-out problems The 2026 paper ran on 9 June
Cayley Olympiad Year 9 and below, from the Intermediate Challenge Written Olympiad, longer problems Follows the IMC โ€” check the official site for this year's date

All three are invitation-only and sat in your child's school. Official pages: Junior and Intermediate.

The thing most parents don't know

Here's the counterintuitive bit, and it's genuinely useful. The Junior Mathematical Olympiad is terminal โ€” it doesn't lead onward. It's a wonderful celebration of a talented young mathematician, but it isn't a stepping stone to the national or international team.

The pathway that eventually leads towards the International Mathematical Olympiad runs through the Intermediate side: the Intermediate Challenge โ†’ the Cayley โ†’ the senior challenges and their olympiad rounds. So if you have a child who is serious about competition maths for the long term, the round to care about isn't the shiny junior medal โ€” it's the Cayley.

That's not a reason to steer a Year 7 towards proof papers before they're ready. Most children who love these competitions simply enjoy the puzzles, collect the odd certificate, and grow into harder rounds naturally when they're keen. The map is here so you can recognise where your child is, not so you can push them up it.

How to support a child at this level

A child sitting an olympiad paper has already shown real ability. What they need from you now is calm, not pressure.

  • Celebrate the invitation itself. Being asked to sit the JMO or Cayley is the achievement; a medal is a bonus.
  • Let them work on longer problems, not more problems. Olympiad maths rewards deep, patient thinking about one hard question โ€” the exact opposite of drilling. Sitting with a single tricky problem and explaining the whole solution out loud is worth more than twenty quick sums.
  • Guard the balance. Bright, driven children are the ones most likely to over-do it. Keep an eye on the whole week, not just the maths โ€” our energy-aware approach and our note on preventing burnout both come from watching capable kids run themselves flat.

FAQ

How does my child qualify for the Junior Maths Olympiad?

You can't enter it directly. The JMO is invitation-only, based on your child's Junior Maths Challenge score โ€” roughly the top 1,000 to 1,200 pupils nationally are invited. Do very well in the JMC and the invitation follows automatically.

What's the difference between the Kangaroo and the Olympiad?

Both are invitation-only follow-ons, but they differ in style. The Kangaroo rounds are harder multiple-choice papers for high scorers. The Olympiad papers (the JMO, and the Cayley for older KS3 pupils) ask for a smaller number of longer, written-out solutions where your child shows full reasoning.

Does the Junior Maths Olympiad lead to the international team?

Not directly. The Junior Olympiad is a terminal celebration in its own right; it doesn't feed onward. The route towards the International Mathematical Olympiad runs through the Intermediate Challenge and the Cayley Olympiad, then the senior rounds. For a KS3 child aiming high long-term, the Cayley is the line to watch.

Duke Harewood built aitutors.me's KS3 maths tutor (Professor Pi) for his Year 8 daughter. He learned the "the Junior Olympiad is terminal" fact the hard way, and wishes someone had told him sooner. Updated 09 July 2026.