Calendar Reasoning - Beginner Level: calendar calculations BEGINNER

This foundation builder 🌟 worksheet contains 20 beginner-level calendar reasoning problems. Worksheet 1 of 30 focuses on calendar calculations. Practice calendar calculations, day finding, date arithmetic with our step-by-step solutions. Difficulty: foundational concepts and basic patterns. Recommended for entry-level learners.

📝 Worksheet 1 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

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Worksheet 1 of 30 (3% complete)

Question 1

How many odd days are there in 28 years starting from 1835? (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 2

In the calendar for May 2025, if the 1st falls on a Thursday, on which weekday will the 15th fall?
15th is 14 days later: (3+14)%7=3, so Thursday.

Question 3

If yesterday was not Tuesday, which day CANNOT be today?
If today were Wednesday, then yesterday would be Tuesday, which contradicts the condition.

Question 4

If 14-12-2011 is a Wednesday, what day is 28-12-2011?
14 days later: day shifts by 0 days. Wednesday + 0 days = Wednesday.

Question 5

If 1 January 2021 was a Friday, what day was 1 December 2021?
Calculated via Zeller's congruence: 1/12/2021 falls on Wednesday.

Question 6

If 14-06-2022 is a Tuesday, what day is 14-06-2023?
365 days later: day shifts by 1 days. Tuesday + 1 days = Wednesday.

Question 7

How many days did February have in the year 2006?
Year 2006 had 28 days in February.

Question 8

In the calendar for Feb 2023, if the 1st falls on a Wednesday, on which weekday will the 15th fall?
15th is 14 days later: (2+14)%7=2, so Wednesday.

Question 9

In the following calendar grid for December 2027, how many Wednesdays 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
In December 2027, Wednesdays fall on: 1, 8, 15, 22. Total: 4.

Question 10

In the calendar for May 2023, if the 1st falls on a Monday, on which weekday will the 15th fall?
15th is 14 days later: (0+14)%7=0, so Monday.

Question 11

In the following calendar grid for April 2030, how many Saturdays 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 | | | | |
In April 2030, Saturdays fall on: 6, 13, 20, 27. Total: 4.

Question 12

Which financial quarter and semester does 19-05-2050 fall in? (Note: Indian fiscal year starts April 1, where April-May-June = Q1/Semester 1, July-Aug-Sep = Q2/Semester 1, Oct-Nov-Dec = Q3/Semester 2, Jan-Feb-Mar = Q4/Semester 2)
For 19-05-2050: Fiscal Year 2050-2051, Quarter 1, Semester 1.

Question 13

If 1 January 2019 was a Tuesday, what day was 1 June 2019?
Calculated via Zeller's congruence: 1/6/2019 falls on Saturday.

Question 14

How many days did February have in the year 2001?
Year 2001 had 28 days in February.

Question 15

After how many years will the calendar for 2051 repeat exactly?
The calendar for 2051 repeats after 11 years because the day pattern and leap year cycle align.

Question 16

In the calendar for Oct 2025, if the 1st falls on a Wednesday, on which weekday will the 15th fall?
15th is 14 days later: (2+14)%7=2, so Wednesday.

Question 17

Which financial quarter and semester does 02-06-2015 fall in? (Note: Indian fiscal year starts April 1, where April-May-June = Q1/Semester 1, July-Aug-Sep = Q2/Semester 1, Oct-Nov-Dec = Q3/Semester 2, Jan-Feb-Mar = Q4/Semester 2)
For 02-06-2015: Fiscal Year 2015-2016, Quarter 1, Semester 1.

Question 18

A code says: 1/2 = Saturday. What does 1/3 equal? (Use same year)
Next month same date: calculated day_name(1,3,2025)=Saturday.

Question 19

In the calendar for Dec 2022, if the 1st falls on a Thursday, on which weekday will the 15th fall?
15th is 14 days later: (3+14)%7=3, so Thursday.

Question 20

How many odd days are there in 76 years starting from 1850? (Note: Odd days = remainder when total days are divided by 7)
Total days = 58×365 + 18×366 = 27758 days. Odd days = 27758 mod 7 = 3.
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