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 Kim has: bat, ball, net, cap. Jo has: ball, cap. What does Kim have that Jo does not? (two items, alphabetical, like "bat,net") (type)
Show worked solution
Cross out ball and cap → bat and net.
2 10 kids like apples, 4 of those also like bananas. How many like ONLY apples? (number)
Show worked solution
10 − 4 = 6 — "like apples" includes the both-likers.
3 In two overlapping circles, how many zones are there including the outside? (number)
Show worked solution
4: only-A, only-B, both, neither.
Level 2 · Core
4 Class of 22: 12 walk to school, 13 catch the bus at least sometimes, everyone does at least one. How many do both? (number)
Show worked solution
12 + 13 = 25 names for 22 people → 3 counted twice.
5 Lists — L1: drama, art. L2: art, music. One from each list, and you must take drama. What is your L2 choice if you also want art? (word)
Show worked solution
Drama only lives in L1 → L1 used → art must come from L2: art.
6 Pets — Ava: dog, cat, bird. Ben: cat, fish. Caleb: bird, fish. Which pet do NO two children share? (word)
Show worked solution
Cat (Ava+Ben), bird (Ava+Caleb), fish (Ben+Caleb) are shared; only the dog has a single owner.
Level 3 · Challenge
7 30 students: 19 have a sister, 14 have a brother, 5 have neither. How many have both? (number)
Show worked solution
At least one: 25. Names: 33. Both = 33 − 25 = 8.
8 Choose one from each — L1: red, green. L2: red, yellow. L3: green, yellow. You must include red and green, and red is NOT from L1. Which colour comes from L3? (word)
Show worked solution
Red not from L1 → red takes L2. Green then must come from L1 (only other home). L3 supplies the remaining pick: yellow.
9 Three lists share items: A: {1,2,3,4}, B: {2,4,6}, C: {3,4,7}. Which number appears in ALL three lists? (number)
Show worked solution
4 — the only member of every list. (2 misses C; 3 misses B.)