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problem

Doubly Symmetric

11 to 14

What is the smallest number of additional squares that must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2?

problem

Star in a Hexagon

11 to 14

Weekly Problem 20 - 2017
The diagram shows a design formed by drawing six lines in a regular hexagon. What fraction of the hexagon is shaded?

problem

Quadratic Rotation

14 to 16

The curve $y=x^2-6x+11$ is rotated through $180^\circ$ about the origin. What is the equation of the new curve?

problem

Operational Decision

11 to 14

What symbol should be inserted to make the equation true?

problem

Primes and Six

14 to 16

Weekly Problem 1 - 2015
If $p$ and $q$ are prime numbers greater than $3$ and $q=p+2$, prove that $pq+1$ is divisible by $36$.

problem

Granny's Age

14 to 16

Weekly Problem 10 - 2015
Granny is four times as old as I am. Five years ago she was five times as old as I was. What is the sum of our ages?

problem

Back in Time

14 to 16

How many times a day does a 24 hour digital clock look the same when reflected in a horizontal line?

problem

Switch On

14 to 16

In how many different ways can a row of five "on/off" switches be set so that no two adjacent switches are in the "off" position?

problem

Favourite

Shape Times Shape

7 to 11

These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

problem

Favourite

Two CLOCKS

7 to 11

These clocks have only one hand, but can you work out what time they are showing from the information?

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Doubly Symmetric

Star in a Hexagon

Quadratic Rotation

Operational Decision

Primes and Six

Granny's Age

Back in Time

Switch On

Shape Times Shape

Two CLOCKS