Copy the diagram. Place the digits from 1 to 5 in the squares so that the product is 3542.
The diagram shows one way to divide the grid into two congruent pieces using line segments that connect grid points. Find 12 other ways.
A telephone keypad is shown. The distance between the centre of the 1 button and the centre of the 2 button is 2 cm. The distance between the centre of the 1 button and the centre of the 4 button is 2 cm. To enter the number 1-726-567-2194, what is the minimum distance your finger would have to travel, to the nearest centimetre?
A dart that lands on a regulation dart board can score a whole number of points from 1 to 20, or double or triple each number. If the dart hits the bull’s—eye, it can score 25 or 50 points. Pierre threw three darts. One missed the board, but Pierre scored a total of 35 points with the other two darts. In how many different ways could he have scored 35 points with two darts?
Use an isometric grid with the dimensions shown. How many different-sized equilateral triangles can you make on the grid?
Charles Lindbergh was the first person to fly solo across the Atlantic. He left New York City at 07:52 local time on May 20, 1927, and landed in Paris at 23:21 local time on May 21. He flew 5830 km.
a) Calculate the time he took to fly from New York City to Paris.
b) Find his average speed, to the nearest kilometre per hour.