This collection of tasks is part of the activities for 11-14 year olds section of the Maths At Home feature. The activities below are worth exploring over a few days, or even a few weeks! The stars represent the challenge level, with three stars indicating the most challenging activities.
You may also wish to explore Maths to Take Your Time Over for 7-11 year olds, and Maths to Take Your Time Over for 14-16 year olds.
problem
Favourite
Summing consecutive numbers
Age
11 to 14
Challenge level
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
problem
Favourite
Reaction timer
Age
11 to 14
Challenge level
This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
problem
Favourite
Fibonacci surprises
Age
11 to 14
Challenge level
Play around with the Fibonacci sequence and discover some surprising results!
problem
Favourite
Squares in rectangles
Age
11 to 14
Challenge level
A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle
contains 20 squares. What size rectangle(s) contain(s) exactly 100
squares? Can you find them all?