Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 Is "favourite colour" categorical or numerical?
Show worked solution
Categorical — the answers are named groups.
2 Is "number of brothers and sisters" categorical or numerical?
Show worked solution
Numerical — it is a counted amount.
3 Is "height in centimetres" categorical or numerical?
Show worked solution
Numerical — it is a measured amount.
Level 2 · Core
4 Is "your postcode" categorical or numerical?
Show worked solution
Categorical — a postcode labels a suburb, so arithmetic on it is meaningless.
5 Is "the number of goals scored in a match" discrete or continuous?
Show worked solution
Discrete — goals are counted in whole steps.
6 Is "the time you take to run 100 metres" discrete or continuous?
Show worked solution
Continuous — it is measured, so 14.62 seconds is possible.
Level 3 · Challenge
7 A survey lists the bus route number each student catches. Is this categorical or numerical?
Show worked solution
Categorical — the number names a route rather than measuring anything.
8 Is "the number of students in a class" discrete or continuous?
Show worked solution
Discrete — students are counted in whole steps.
9 Which one of these is NOT numerical data?
Show worked solution
A jersey number — it names a player, so adding jersey numbers is meaningless. That makes it categorical.