Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?
Use the lines on this figure to show how the square can be divided into 2 halves, 3 thirds, 6 sixths and 9 ninths.
How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
Can you replace the letters with numbers? Is there only one solution in each case?
On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?
A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?
How many different symmetrical shapes can you make by shading triangles or squares?
A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?
Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?
