1 out of 3
Can you work out the value of x in this 'power-full' equation?
2 out of 3
Find all the ways of placing the numbers 1 to 9 on a W shape, with 3 numbers on each leg, so that each set of 3 numbers has the same total.
2 out of 3
The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?
2 out of 3
Janine noticed, while studying some cube numbers, that if you take three consecutive whole numbers and multiply them together and then add the middle number of the three, you get the middle number. Does this always work? Can you prove or disprove this conjecture?
2 out of 3
My train left London between 6 a.m. and 7 a.m. and arrived in Paris between 9 a.m. and 10 a.m. At the start and end of the journey the hands on my watch were in exactly the same positions but the minute hand and hour hand had swopped places. What time did the train leave London and how long did the journey take?
2 out of 3
If a two digit number has its digits reversed and the smaller of the two numbers is subtracted from the larger, prove the difference can never be prime.
2 out of 3
Kyle and his teacher disagree about his test score - who is right?
2 out of 3
The problem is how did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
2 out of 3
Can you find a rule which relates triangular numbers to square numbers?
2 out of 3
A rectangular plank fits neatly inside a square frame when placed diagonally. What is the length of the plank?
