Problems adapted from questions set for previous Mathematics exams.
At a concert, the number of men, women and children can be expressed with the following ratio:$$ 6 : 11 : 4 $$
There were 6525 more women than men. How many children were at the concert?
Toystore sell model sheep in four different colours. In their newest warehouse there are currently 1760 sheep in stock. Three eighths of the sheep are yellow, 15% of the sheep are blue and the ratio of green to red sheep is 5:6.
Work out the number of sheep of each colour in the Toystore warehouse.
At a summer camp the campers can choose one of three programmes: camp craft, water sports or hiking.
During the first week of camp the campers chose the programmes in the ratio 7 : 5 : 8
During the second week of camp the same number of campers chose the programmes in the ratio 7 : 6 : 4
Show that there were more campers on the camp craft programme in the second week than the first.