Use these head, body and leg pieces to make Robot Monsters which
are different heights.
Can you match the mass and length or height of these things to their pictures?
How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?
George and Jim want to buy a chocolate bar. George needs 2p more
and Jim need 50p more to buy it. How much is the chocolate bar?
Can you help the children find the two triangles which have the
lengths of two sides numerically equal to their areas?
How can you use just one weighing to find out which box contains
the lighter ten coins out of the ten boxes?
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
A bus route has a total duration of 40 minutes. Every 10 minutes,
two buses set out, one from each end. How many buses will one bus
meet on its way from one end to the other end?
Two engines, at opposite ends of a single track railway line, set
off towards one another just as a fly, sitting on the front of one
of the engines, sets off flying along the railway line...
Find a cuboid (with edges of integer values) that has a surface
area of exactly 100 square units. Is there more than one? Can you
find them all?
This shape comprises four semi-circles. What is the relationship
between the area of the shaded region and the area of the circle on
AB as diameter?
An irregular tetrahedron has two opposite sides the same length a
and the line joining their midpoints is perpendicular to these two
edges and is of length b. What is the volume of the tetrahedron?
If the radius of the tubing used to make this stand is r cm, what is the volume of tubing used?
What is the longest stick that can be carried horizontally along a
narrow corridor and around a right-angled bend?
Explore the hyperbolic functions sinh and cosh using what you know about the exponential function.
Solve the equation sin z = 2 for complex z. You only need the
formula you are given for sin z in terms of the exponential
function, and to solve a quadratic equation and use the logarithmic
Kali and Ruth show us two different ways of displaying information in pictures.
Two nice solutions to Coordinate Patterns from Ivan and Michael.
At least three ways to solve this problem, but Charlie and Ian show that algebra is not always the best or easiest solution.
The diagram really says it all. You need to know the distance between 2 points is the modulus but that's just Pythagoras Theorem.
This article for teachers recounts the history of measurement,
encouraging it to be used as a spring board for cross-curricular
This article tells you all about some early ways of measuring as well as methods of measuring tall objects we can still use today. You can even have a go at some yourself!
These formulae are often quoted, but rarely proved. In this article, we derive the formulae for the volumes of a square-based pyramid and a cone, using relatively simple mathematical concepts.
Imagine two identical cylindrical pipes meeting at right angles and think about the shape of the space which belongs to both pipes. Early Chinese mathematicians call this shape the mouhefanggai.