Calendar Reasoning - Beginner-Intermediate Level: historical dates BEGINNER-INTERMEDIATE

Strategic fast track practice for calendar reasoning: 20 beginner-intermediate-level problems. Worksheet 9 of 30 - Focus: historical dates. Develop expertise in day finding, date arithmetic, leap year logic with step-by-step solutions. Ideal for developing learners targeting building on fundamentals with moderate challenges.

📝 Worksheet 9 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

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Worksheet 9 of 30 (30% complete)

Question 1

In the following calendar grid for December 2024, how many Sundays are there? Mon Tue Wed Thu Fri Sat Sun | | | | | | 1 2 | 3 | 4 | 5 | 6 | 7 | 8 9 | 10 | 11 | 12 | 13 | 14 | 15 16 | 17 | 18 | 19 | 20 | 21 | 22 23 | 24 | 25 | 26 | 27 | 28 | 29
In December 2024, Sundays fall on: 1, 8, 15, 22, 29. Total: 5.

Question 2

If 1 January 2022 was a Saturday, what day was 1 February 2022?
Calculated via Zeller's congruence: 1/2/2022 falls on Tuesday.

Question 3

How many odd days are there in 76 years starting from 1982? (Note: Odd days = remainder when total days are divided by 7)
Total days = 57×365 + 19×366 = 27759 days. Odd days = 27759 mod 7 = 4.

Question 4

How many odd days are there in 28 years starting from 1910? (Note: Odd days = remainder when total days are divided by 7)
Total days = 21×365 + 7×366 = 10227 days. Odd days = 10227 mod 7 = 0.

Question 5

How many days did February have in the year 2025?
Year 2025 had 28 days in February.

Question 6

A code says: 1/6 = Sunday. What does 1/7 equal? (Use same year)
Next month same date: calculated day_name(1,7,2025)=Tuesday.

Question 7

How many days did February have in the year 2012?
Year 2012 had 29 days in February.

Question 8

In 2033, on which date does Easter Sunday fall?
Easter Sunday in 2033 falls on April 17.

Question 9

How many odd days are there in 52 years starting from 1928? (Note: Odd days = remainder when total days are divided by 7)
Total days = 39×365 + 13×366 = 18993 days. Odd days = 18993 mod 7 = 2.

Question 10

If 1 January 2021 was a Friday, what day was 1 September 2021?
Calculated via Zeller's congruence: 1/9/2021 falls on Wednesday.

Question 11

After how many years will the calendar for 2050 repeat exactly?
The calendar for 2050 repeats after 11 years because the day pattern and leap year cycle align.

Question 12

A code says: 5/7 = Saturday. What does 5/8 equal? (Use same year)
Next month same date: calculated day_name(5,8,2025)=Tuesday.

Question 13

In England, when switching from the Julian to the Gregorian calendar in 1752, September 2 (Julian) was followed directly by which date in the Gregorian calendar?
England switched to the Gregorian calendar after 2 September 1752, skipping 11 days to align with the solar year. Therefore, 3 September became 14 September.

Question 14

In the following calendar grid for January 2021, how many Thursdays are there? Mon Tue Wed Thu Fri Sat Sun | | | | 1 | 2 | 3 4 | 5 | 6 | 7 | 8 | 9 | 10 11 | 12 | 13 | 14 | 15 | 16 | 17 18 | 19 | 20 | 21 | 22 | 23 | 24 25 | 26 | 27 | 28 | 29 | 30 | 31
In January 2021, Thursdays fall on: 7, 14, 21, 28. Total: 4.

Question 15

After how many years will the calendar for 1924 repeat exactly?
The calendar for 1924 repeats after 28 years because the day pattern and leap year cycle align.

Question 16

In 2041, on which date does Easter Sunday fall?
Easter Sunday in 2041 falls on April 21.

Question 17

How many days did February have in the year 2028?
Year 2028 had 29 days in February.

Question 18

In England, when switching from the Julian to the Gregorian calendar in 1752, September 2 (Julian) was followed directly by which date in the Gregorian calendar?
England switched to the Gregorian calendar after 2 September 1752, skipping 11 days to align with the solar year. Therefore, 3 September became 14 September.

Question 19

If 1 January 2022 was a Saturday, what day was 1 October 2022?
Calculated via Zeller's congruence: 1/10/2022 falls on Saturday.

Question 20

In England, when switching from the Julian to the Gregorian calendar in 1752, September 2 (Julian) was followed directly by which date in the Gregorian calendar?
England switched to the Gregorian calendar after 2 September 1752, skipping 11 days to align with the solar year. Therefore, 3 September became 14 September.
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