# Transformations - Short Problems

This is part of our collection of Short Problems.

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

### Peri the Winkle

##### KS 3 Short Challenge Level:

Weekly Problem 31 - 2014
Peri the winkle starts at the origin and slithers around some semicircles. Where does she end her expedition?

### Flagged Up

##### KS 3 Short Challenge Level:

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?

### Reflected Back

##### KS 3 Short Challenge Level:

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

### Potatoes

##### KS 3 Short Challenge Level:

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?

### Back in Time

##### KS 3 Short Challenge Level:

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

### Semaphore

##### KS 3 Short Challenge Level:

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?

### Doubly Symmetric

##### KS 3 Short Challenge Level:

Weekly Problem 24 - 2016
What is the smallest number of additional lines that must be shaded so that this figure has at least one line of symmetry and rotational symmetry of order 2?

### Grid Without Lines

##### KS 3 Short Challenge Level:

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?

### Sharks Are Symmetric

##### KS 3 Short Challenge Level:

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

##### KS 3 Short Challenge Level:

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 3 Short Challenge Level:

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?

### Kangaroo Hops

##### KS 3 Short Challenge Level:

Weekly Problem 11 - 2011
Kanga hops ten times in one of four directions. At how many different points can he end up?

### Pendants

##### KS 4 Short Challenge Level:

What proportion of each of these pendants will be made of gold?

### Half Area

##### KS 4 Short Challenge Level:

The horizontal red line divides this equilateral triangle into two shapes of equal area. How long is the red line?

### Growing Triangle

##### KS 4 Short Challenge Level:

If the base and height of a triangle are increased by different percentages, what happens to its area?

### Coloured Black

##### KS 4 Short Challenge Level:

An ink stamp draws out a shape when it is rotated. What is its area?