Exploring and noticing

How do scores on dice and factors of polynomials relate to each other?

Jo has three numbers which she adds together in pairs. When she does this she has three different totals: 11, 17 and 22 What are the three numbers Jo had to start with?”

From only the page numbers on one sheet of newspaper, can you work out how many sheets there are altogether?

An examination paper is made from five pieces of paper. What is the sum of the other page numbers that appear on the same sheet as page 5?

A sequence is generated using these rules. For which values of n is the nth term equal to n?

One year there were exactly four Tuesdays and four Fridays in October. On what day of the week was Halloween.

How many times a day does a 24 hour digital clock look the same when reflected in a horizontal line?

By drawing 5 horizontal and four vertical lines, one can form 12 rectangles. What is the greatest number of rectangles that can be formed by drawing 15 lines?

Weekly Problem 51 - 2016
Pegs numbered 1 to 50 are placed in a row. Alternate pegs are knocked down, and this process is repeated. What is the number of the last peg to be knocked down?

Edith had 9 children at 15 month intervals. If the oldest is now six times as old as the youngest, how old is her youngest child?