Transformations Short Problems: Age 11-16

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Transformations: Age 11-16.

We have put together a selection of these short problems as printable worksheets:

Printable worksheet: Age 11-14 ⭐   Printable worksheet: Age 11-14 ⭐⭐   Printable worksheet: Age 14-16 ⭐⭐   Printable worksheet solutions


  • Small pepper seedlings in turquoise pots.
    problem

    Symmetriangle

    Age
    11 to 14
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
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    Flag-Tastic

    Age
    11 to 14
    Challenge level

    How many different flags can you make?

  • Small pepper seedlings in turquoise pots.
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    Flagged Up

    Age
    11 to 14
    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?

  • Small pepper seedlings in turquoise pots.
    problem

    Potatoes

    Age
    11 to 14
    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?

  • Small pepper seedlings in turquoise pots.
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    Grid Without Lines

    Age
    11 to 14
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Peri the Winkle

    Age
    11 to 14
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Grid Symmetry

    Age
    11 to 14
    Challenge level

    How many ways can Mathias solve this symmetry challenge?

  • Small pepper seedlings in turquoise pots.
    problem

    Turning N Over

    Age
    11 to 14
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Semaphore

    Age
    11 to 14
    Challenge 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?

  • Small pepper seedlings in turquoise pots.
    problem

    Reading From Behind

    Age
    11 to 14
    Challenge 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?

  • Small pepper seedlings in turquoise pots.
    problem

    Reflected Back

    Age
    11 to 14
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Doubly Symmetric

    Age
    11 to 14
    Challenge 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?

  • Small pepper seedlings in turquoise pots.
    problem

    Kangaroo Hops

    Age
    11 to 14
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Back in Time

    Age
    14 to 16
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Growing Triangle

    Age
    14 to 16
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Pendants

    Age
    14 to 16
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Rotation and Area

    Age
    14 to 16
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Photocopied Map

    Age
    14 to 16
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Climbing Ropes

    Age
    14 to 16
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Similar Perimeter

    Age
    14 to 16
    Challenge level

    What are the possible perimeters of the larger triangle?

  • Small pepper seedlings in turquoise pots.
    problem

    Coloured Black

    Age
    14 to 16
    Challenge level

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

  • Small pepper seedlings in turquoise pots.
    problem

    Half Area

    Age
    14 to 16
    Challenge level

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

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