Logical reasoning · lesson 16 of 30 · free

Calendars — Logical reasoning for kids

Days of the week repeat every 7 days. To jump forward any number of days, divide by 7 and move on only by the remainder. Count the days in each month, and remember the leap year rule for February.

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How to think it through

Odd days — “divide the number of days by 7; the remainder is how many weekdays to move on”

  1. Days later: divide by 7 and move on by the remainder.
  2. Days from 1 January: add the days of the months before (Jan 31, Feb 28 or 29, Mar 31 …), then the date − 1.
  3. Leap year: divides by 4 — but a century year (1900, 2000) must divide by 400.

Use it for: Calendar questions in reasoning tests, planning birthdays and holidays.

Worked example: 1 January 2025 is a Wednesday. What day of the week is 15 March 2025? Saturday

  1. 2025 is not a leap year: January 31 + February 28 = 59 days, then 14 more = 73 days after 1 January.
  2. 73 ÷ 7 = 10 remainder 3. Wednesday + 3 days = Saturday.

Check: 1 March 2025 is 59 days on (remainder 3) = Saturday, and 15 March is 14 days later = Saturday ✓

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✓ Written and checked by the TalentJR team · Updated 27 Oct 2026 · How we make our lessons

🔥 Calendar challenge

Harder, multi-step puzzles for strong students and competitive exams: the same date many years later (count the leap days), century years that are NOT leap years (1700, 1800, 1900, 2100), the next year with exactly the same calendar, and the last weekday of a month.

🔥 Challenge practice

Work it out in your head or on paper, then tap your answer — or type it and press Check. Stuck? Press “Show me how”.

Right: 0 · Tried: 0

🔥 Calendar challenge test

20 questions. Check each answer, then go to the next one. Get 16 or more right to pass.

🏅 Pass to earn the 🔥 Calendar Champion badge — sign in with Google to keep it. The challenge is extra: it doesn't count towards the part certificate.

🖨️ Calendar Reasoning Worksheet

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