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### For younger learners

### Advanced mathematics

# Transformations - Short Problems

This is part of our collection of Short Problems.

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

Printable worksheets containing selections of these problems are available here.
### Symmetriangle

### Peri the Winkle

### Flagged Up

### Potatoes

### Grid Symmetry

### Grid Without Lines

### Turning N Over

### Reading from Behind

### Reflected Back

### Semaphore

### Doubly Symmetric

### Kangaroo Hops

### Photocopied Map

### Climbing Ropes

### Growing Triangle

### Similar Perimeter

### Pendants

### Rotation and Area

### Back in Time

### Coloured Black

### Half Area

## You may also like

### Seven Squares - Group-worthy Task

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This is part of our collection of Short Problems.

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

Printable worksheets containing selections of these problems are available here.

Age 11 to 14

ShortChallenge Level

Weekly Problem 35 - 2012

How many more triangles need to be shaded to make the pattern have a line of symmetry?

Age 11 to 14

ShortChallenge Level

Weekly Problem 31 - 2014

Peri the winkle starts at the origin and slithers around some semicircles. Where does she end her expedition?

Age 11 to 14

ShortChallenge 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?

Age 11 to 14

ShortChallenge 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?

Age 11 to 14

ShortChallenge Level

How many ways can Mathias solve this symmetry challenge?

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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

Age 11 to 14

ShortChallenge Level

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?

Age 11 to 14

ShortChallenge Level

Imagine reflecting the letter P in all three sides of a triangle in turn. What is the final result?

Age 11 to 14

ShortChallenge Level

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?

Age 11 to 14

ShortChallenge Level

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?

Age 11 to 14

ShortChallenge Level

Weekly Problem 11 - 2011

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

Age 14 to 16

ShortChallenge Level

What will the scale on this map be after it has been photocopied?

Age 14 to 16

ShortChallenge Level

Given how much this 50 m rope weighs, can you find how much a 100 m rope weighs, if the thickness is different?

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

What are the possible perimeters of the larger triangle?

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

Point A is rotated to point B. Can you find the area of the triangle that these points make with the origin?

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Age 14 to 16

ShortChallenge Level

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

Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?