Google Docs Link: https://docs.google.com/document/d/1Q3wli4rFGx2JJ_BW1RsNWUtz2HoDiGPwzkp…
(These are from task 6)
If today is a Monday, what day will it be in 31 days’ time? First, I assigned each day of the week a number. Today is a Monday, so it would be 0, and the rest would continue from there.
Monday = 0
Tuesday = 1
Wednesday = 2
Thursday = 3
Friday = 4
Saturday = 5
Sunday = 6
Then, I found the multiple of 7 that is 31 or the closest one below. This is 28, which is 3 below 28, meaning 31 ≡ 3 mod 7.
I had already assigned the number 3 to Thursday, so if today is a Monday, in 31 days it will be a Thursday.
If April 1st is a Thursday, what day will Christmas day be on? First, I assigned each day of the week a number. April 1st is a Thursday, so it would be 0, and the rest would continue from there.
Thursday = 0
Friday = 1
Saturday = 2
Sunday = 3
Monday = 4
Tuesday = 5
Wednesday = 6
Next, I worked out that if Christmas is on December 25th, it is 268 days away from April 1st.
Then, I found the multiple of 7 that is 268 or the closest one below. This is 266, which is 2 below 268, meaning 268 ≡ 2 mod 7.
I had already assigned the number 2 to Saturday, so if April 1st is a Thursday, Christmas will be on a Saturday.
If January 1st is a Friday, and it is a leap year, what day will January 1st be next year? First, I assigned each day of the week a number. January 1st is a Friday, so it would be 0, and the rest would continue from there.
Friday = 0
Saturday = 1
Sunday = 2
Monday = 3
Tuesday = 4
Wednesday = 5
Thursday = 6
Next, I worked out that January 1st is 366 days away from that day next (leap) year.
Then, I found the multiple of 7 that is 366 or the closest one below. This is 364, which is 2 below 366, meaning 366 ≡ 2 mod 7.
I had already assigned the number 2 to Sunday, so if January 1st is a Friday, it will be on a Sunday the following year.
Can you use today’s date to work out what day of the week your birthday will be on? First, I assigned each day of the week a number. Today - April 30th - is a Friday, so it would be 0, and the rest would continue from there.
Friday = 0
Saturday = 1
Sunday = 2
Monday = 3
Tuesday = 4
Wednesday = 5
Thursday = 6
Next, I worked out that because my birthday is on March 1st, it is 305 days away from April 30th.
Then, I found the multiple of 7 that is 305 or the closest one below. This is 301, which is 4 below 305, meaning 305 ≡ 4 mod 7.
I had already assigned the number 4 to Tuesday, so if April 30th is a Friday, March 1st will be on a Tuesday.