The triangle shown below consists of four small triangles of equal area. If each of the four small triangles are to be filled with one of the four colors (red, green, blue and yellow), such that no two adjacent triangles can have the same color, then find the number of possible combinations.
If you have sticks which measure 1, 2, 3, 4, 5, 6, 7, 8 and 9 cm (one of each). How many different triangles can you make using three of the sticks?
There is a large fresh water reservoir that has two distinct drainage systems - small pipe and large pipe.
Six large pipes can drain the reservoir completely in exactly 12 hours while six small pipes will take 18 hours to drain the reservoir.
Can you calculate the time that will be taken by 6 large pipes and 6 small pipes together to drain the reservoir?
Bakers are needed to prepare for a Christmas party. Each baker can make either 7 large cakes per hour, or 45 small cakes per hour. The kitchen is available for 3 hours and 140 large cakes and 990 small cakes are needed. How many bakers are required?