Can you go from A to Z right through the alphabet in the hexagonal maze?
The planet of Vuvv has seven moons. Can you work out how long it is between each super-eclipse?
Follow the journey taken by this bird and let us know for how long and in what direction it must fly to return to its starting point.
Can you fit the tangram pieces into the outlines of the lobster, yacht and cyclist?
Without taking your pencil off the paper or going over a line or passing through one of the points twice, can you follow each of the networks?
July 1st 2001 was on a Sunday. July 1st 2002 was on a Monday. When did July 1st fall on a Monday again?
A little mouse called Delia lives in a hole in the bottom of a tree.....How many days will it be before Delia has to take the same route again?
Can you go through this maze so that the numbers you pass add to exactly 100?
Show that 8778, 10296 and 13530 are three triangular numbers and that they form a Pythagorean triple.
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?
Is it possible to remove ten unit cubes from a 3 by 3 by 3 cube so that the surface area of the remaining solid is the same as the surface area of the original?
Find the polynomial p(x) with integer coefficients such that one solution of the equation p(x)=0 is $1+\sqrt 2+\sqrt 3$.
Prove that if a^2+b^2 is a multiple of 3 then both a and b are multiples of 3.
Given a square ABCD of sides 10 cm, and using the corners as centres, construct four quadrants with radius 10 cm each inside the square. The four arcs intersect at P, Q, R and S. Find the. . . .
What can you say about the lengths of the sides of a quadrilateral whose vertices are on a unit circle?
Here is a pattern composed of the graphs of 14 parabolas. Can you find their equations?
Take a triangular number, multiply it by 8 and add 1. What is special about your answer? Can you prove it?