Can you make a tetrahedron whose faces all have the same perimeter?
Four jewellers share their stock. Can you work out the relative values of their gems?
Jasmine buys three different types of plant. How many triffids did she buy?
A table has blocks of wood placed on and next to it. Can you work out how tall it is?
Look at the times that Harry, Christine and Betty take to pack boxes when working in pairs, to find how fast Christine can pack boxes by herself.
Show that for any triangle it is always possible to construct 3 touching circles with centres at the vertices. Is it possible to construct touching circles centred at the vertices of any polygon?
Five equations and five unknowns. Is there an easy way to find the unknown values?
Can you solve the system of equations to find the values of x, y and z?
The sum of any two of the numbers 2, 34 and 47 is a perfect square. Choose three square numbers and find sets of three integers with this property. Generalise to four integers.
A bag contains red and blue balls. You are told the probabilities of drawing certain combinations of balls. Find how many red and how many blue balls there are in the bag.
