Unit 1 · Calendar and Date Counting
Youth Orchestra Season — Which Concert Comes When?
Lesson 2 of 2
Next, a fuller March season problem — multiple weekdays, different show counts on Saturdays, and a fixed month length to anchor the calendar.
Harder Selective calendar questions often span a full month with several day-types and rates or counts per type; they reward systematic tallying over guesswork.
You must build a correct March grid from “1 March is a Wednesday”, count how many Mondays, Thursdays, and Saturdays occur in 28 days, and apply the right multiplier (especially two shows on Saturdays).
A season runs 1–28 of a month with a given weekday for the 1st. Different weekdays have different numbers of performances; Saturday is often the trap (double shows).
Best approach: Because 28 days is exactly four weeks, each weekday appears four times — unless the question says otherwise. Tally Mon ×1, Thu ×1, Sat ×2, then sum. Draw the grid if you are unsure which dates are Saturdays.
Question
A youth orchestra performs a season from 1 March to 28 March (inclusive). The 1st of March is a Wednesday.
The orchestra gives one performance every Monday and one performance every Thursday. It also gives two performances every Saturday.
How many performances will the orchestra give in total?
Select an answer to see the explanation.
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