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 From the 4th to the 11th with events on both days — how many event days? (number)
Show worked solution
11 − 4 + 1 = 8.
2 How many nights do you sleep away on a trip from the 4th to the 11th? (number)
Show worked solution
Nights are gaps: 11 − 4 = 7.
3 A ribbon is cut 5 times. How many pieces? (number)
Show worked solution
Pieces = cuts + 1 = 6.
Level 2 · Core
4 Shows run Mon 2nd to Fri 13th, one per evening, plus an extra on both Fridays (6th, 13th). Total shows? (number)
Show worked solution
Evenings: 13 − 2 + 1 = 12; extras: 2 → 14.
5 Buses every 25 min from 7:10. You arrive at 9:05. How many minutes until the next bus? (number)
Show worked solution
7:10, 7:35, 8:00, 8:25, 8:50, 9:15 → wait 10 min — the official bus pattern.
6 You read from page 21 to page 58, both included. How many pages? (number)
Show worked solution
58 − 21 + 1 = 38.
Level 3 · Challenge
7 A gong sounds every 6 min, a bell every 9 min; both just sounded together. In how many minutes do they next coincide? (number)
Show worked solution
Multiples of 9: 9, 18. Is 18 a multiple of 6? Yes → 18 minutes.
8 A show runs Mon 3rd to Thu 20th: every evening plus Wed & Sat afternoons. Total performances? (number)
Show worked solution
Evenings 20 − 3 + 1 = 18; extras Wed 5/12/19 + Sat 8/15 = 5 → 23.
9 A ladder has rungs numbered 1 to 12. A painter stands on rung 2 and climbs to rung 12, painting every rung she touches (including start and end). How many rungs painted? (number)
Show worked solution
12 − 2 + 1 = 11 rungs.