article
Digital roots
In this article for teachers, Bernard Bagnall describes how to find
digital roots and suggests that they can be worth exploring when
confronted by a sequence of numbers.
Search
problem
Half a triangle
14 to 16
Construct a line parallel to one side of a triangle so that the
triangle is divided into two equal areas.
problem
Favourite
Always, sometimes or never? KS1
5 to 7
Are these statements relating to calculation and properties of shapes always true, sometimes true or never true?
problem
Sums and differences 2
7 to 11
Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?
problem
Favourite
Number daisy
11 to 14
Can you find six numbers to go in the daisy from which you can make all the numbers from 1 to a number bigger than 25?
problem
Favourite
Cycling squares
7 to 11
Can you make a cycle of pairs that add to make a square number using all the numbers in the box below, once and once only?
problem
Diagonal in a spiral
7 to 11
Investigate the totals you get when adding numbers in threes on the diagonal of this pattern.
problem
Coins on a plate
11 to 14
Points A, B and C are the centres of three circles, each one of which touches the other two. Prove that the perimeter of the triangle ABC is equal to the diameter of the largest circle.
problem
Doubly isosceles
14 to 16
Find the missing distance in this diagram with two isosceles triangles
problem
Number pattern explorations
7 to 14
Investigate what happens if we create number patterns using some simple rules.