Unit 1 · Calendar and Date Counting
Show Performance Schedule — Which Day Is the Last Show?
Lesson 2 of 3
Count the total days (18 evenings), then separately count Wednesdays and Saturdays in the range for the extra afternoon shows. There are 3 of each, giving 6 extras — so 18 + 6 = 24 performances in total.
Counting performances across a date range with extra sessions on named days appears regularly in OC TS Calendar questions at easy-to-medium difficulty. Students who simply count "18 evenings" without adding the afternoon shows arrive at 18 — the most common wrong answer.
The examiner checks whether students can (1) correctly count the total number of days in the range (inclusive), (2) identify which days of the week have extra sessions by mapping dates to days, and (3) add the two totals cleanly.
A show or event runs from Day X to Day Y of the same month. Every day has one performance; certain named days of the week have a second performance. Students count the total performances.
Best approach: Step 1: Count total days = 29 − 12 + 1 = 18 evenings. Step 2: Build a quick day-of-week table starting from Wednesday 12th. Count how many Wednesdays and Saturdays fall in the range. Step 3: Add the extras.
Question
A show is to be performed from Wednesday 12th to Saturday 29th of the same month.
There will be a performance every evening.
On Wednesdays and Saturdays there will be an afternoon performance as well.
How many performances of the show will there be?
Select an answer to see the explanation.
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