Transformations - Short Problems


This is part of our collection of Short Problems.

You may also be interested in our longer problems on Transformations.

Reading from Behind

KS 2 & 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 24 - 2011
Can you find the time between 3 o'clock and 10 o'clock when my digital clock looks the same from both the front and back?

Turning N Over

KS 2 & 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 34 - 2013
A card with the letter N on it is rotated through two different axes. What does the card look like at the end?

Sharks Are Symmetric

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 35 - 2012
How many more triangles need to be shaded to make the pattern have a line of symmetry?

Angular Reflection

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 28 - 2013
Two lines meet at a point. Another line through this point is reflected in both of these lines. What is the angle between the image lines?

Flagged Up

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 31 - 2008
The flag is given a half turn anticlockwise about the point O and is then reflected in the dotted line. What is the final position of the flag?

Potatoes

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 19 - 2009
When I looked at the greengrocer's window I saw a sign. When I went in and looked from the other side, what did I see?

Semaphore

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 34 - 2009
I am standing behind five pupils who are signalling a five-digit number to someone on the opposite side of the playground. What number is actually being signalled?

Grid Without Lines

KS 3 Short Challenge Level:

Challenge Level:1

Weekly Problem 40 - 2010
Can you remove the least number of points from this diagram, so no three of the remaining points are in a straight line?

Reflected Back

KS 3 & 4 Short Challenge Level:

Challenge Level:1

Weekly Problem 18 - 2015
Beatrix relfects the letter P in all three sides of a triangle in turn. What is the final result?

Back in Time

KS 3 & 4 Short Challenge Level:

Challenge Level:1

Weekly Problem 29 - 2015
How many times a day does a 24 hour digital clock look the same when reflected in a horizontal line?

Pieces of Eight

KS 3 & 4 Short Challenge Level:

Challenge Level:3 Challenge Level:3 Challenge Level:3

Weekly Problem 48 - 2014
Two of the triangles in the diagram are shaded black. What is the probability the resulting figure has at least one axis of symmetry?

Quadratic Rotation

KS 4 Short Challenge Level:

Challenge Level:1

Weekly Problem 48 - 2012
The curve $y=x^2−6x+11$ is rotated through $180^\circ$ about the origin. What is the equation of the new curve?