Reasoning · Grade 2-2 Time Zones and the Calendar

Problem

Weekday of a date from the 7-day cycle

A torn April calendar shows the 3rd as Tuesday, the 4th as Wednesday and the 5th as Thursday. Weekdays repeat every 7 days, so counting a multiple of 7 lands on the same weekday. Find the weekday of March 1, May 5 and June 6 that year.
Your answer
How to solve
Strategy Look for a Pattern — The weekday names cycle every 7 days, so the whole problem is a repeating-pattern problem. From the calendar I anchor April 1 = Sunday, then I count the number of days from that anchor to each target date, drop whole weeks (multiples of 7), and shift by only the leftover days to read off the weekday. Sketching a short calendar strip keeps the counting honest.
1STEP 1

Anchor April 1 from the fragment

The 3rd is Tuesday, so two days back April 1 is Sunday.

Apr 3=Tue→Apr 2=Mon→Apr 1=Sun
2STEP 2

March 1: count backwards from April 1

March has 31 days: 31 = 4×7 + 3, three back from Sunday is Thursday.

31 = 4 × 7 + 3, Sun → Thu
3STEP 3

May 1: count forward from April 1

April has 30 days: 30 = 4×7 + 2, so May 1 is Tuesday.

30 = 4 × 7 + 2, Sun → Tue
4STEP 4

May 5 from May 1

Four days on, May 5 is Saturday.

May 1=Tue → Sat
5STEP 5

June 1: count forward from May 1

May has 31 too: 31 = 4×7 + 3, so June 1 is Friday.

31 = 4 × 7 + 3, Tue → Fri
6STEP 6

June 6 from June 1

Five days on, June 6 is Wednesday.

Jun 1=Fri → Wed
Answer
March 1 Thursday, May 5 Saturday, June 6 Wednesday
Each weekday came from counting only the leftover days after removing whole weeks, so each is a real weekday. A direct check confirms it: from March 1 (Thu), adding 31 days reaches April 1, and Thu + 3 (after 4 weeks) = Sun, matching the calendar's April 1 = Sunday. Likewise May 5 = Sat sits one day after the calendar's own May-row logic, and June 6 = Wed follows from June 1 = Fri.
Takeaway

Days of the week repeat every 7, so just throw away the whole weeks and shift by the leftover days. That is Grade 3 counting you already know!

  • Anchor April 1 from the fragment
  • March 1: count backwards from April 1
  • May 1: count forward from April 1
  • May 5 from May 1
  • June 1: count forward from May 1
  • June 6 from June 1