Maths Problems – Week Two
If the cold tap alone would fill a bath in 20 minutes and the hot tap alone
would fill a bath in 30 minutes, how many minutes would it take to fill the bath
with both the cold and hot taps on?
The six angles of two different triangles are listed in decreasing order. The list
starts with 115°, 85°, 75° and 35°. What is the last angle in the list?
Eight pens cost £10 and some pence while eleven more cost £26 and some
pence. What is the cost of a pen?
An octahedron is drawn by connecting the centres of the faces of a cube. What
is the ratio of the volume of the octahedron to that of the cube?
Answers out next Monday