problem
Growing rectangles
Age
11 to 14
Challenge level
What happens to the area and volume of 2D and 3D shapes when you enlarge them?
problem
How old am I?
Age
14 to 16
Challenge level
In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?
problem
Beelines
Age
14 to 16
Challenge level
Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?
problem
Vector journeys
Age
14 to 18
Challenge level
Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?
problem
Triangles and petals
Age
14 to 16
Challenge level
An equilateral triangle rotates around regular polygons and produces an outline like a flower. What are the perimeters of the different flowers?
problem
Which is bigger?
Age
14 to 16
Challenge level
Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
problem
Multiplication arithmagons
Age
14 to 16
Challenge level
Can you find the values at the vertices when you know the values on the edges of these multiplication arithmagons?
problem
Difference of two squares
Age
14 to 16
Challenge level
What is special about the difference between squares of numbers adjacent to multiples of three?
problem
Square number surprises
Age
14 to 16
Challenge level
There are unexpected discoveries to be made about square numbers...