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Tyre Wear
A car with 5 tyres (four road tyres and a spare) travelled 30,000 km. All 5 tyres were used equally. How many kilometres' wear did each tyre receive?
Multiple Magic
Think of any whole number. Each time you perform a sequence of operations on it, what do you notice about the divisors of your answer?
Collatz-Ish
A sequence is generated using these rules. For which values of n is the nth term equal to n?
Parallel Base
Weekly Problem 46 - 2015
The diagram shows two parallel lines and two angles. What is the value of x?
Square Bisection
Weekly Problem 8 - 2008
In how many ways can a square be cut in half using a single straight line cut?
Half Past Two
Weekly Problem 21 - 2009
What is the angle between the two hands of a clock at 2.30?
Fangs
Weekly Problem 7 - 2013
Three of the angles in this diagram all have size $x$. What is the value of $x$?
Handy Angles
Weekly Problem 39 - 2008
How big is the angle between the hour hand and the minute hand of a clock at twenty to five?
Rectangle Dissection
Weekly Problem 2 - 2009
The 16 by 9 rectangle is cut as shown. Rearrange the pieces to form a square. What is the perimeter of the square?