You may also like

problem icon

Summing Consecutive Numbers

Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?

problem icon

Frogs

How many moves does it take to swap over some red and blue frogs? Do you have a method?

problem icon

The Best Card Trick?

Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?

Perimeter Possibilities

Stage: 3 Challenge Level: Challenge Level:1
Watch the video below.



How many other possible perimeters can you find, for a rectangle with an area of $24cm^2$?

Now watch the video to see what Alison and Charlie did next.



Here are some questions you might like to consider:
  • What other odd number perimeters can you make, if the area is $24$cm$^2$?
  • What is the smallest perimeter you can make, if the area is $24$cm$^2$? What about the largest perimeter?
  • Which perimeters in between is it possible to make?

More generally...
  • Is it possible to make a rectangle with a fractional perimeter but a whole number area?
  • Is it possible to make a rectangle with a whole number perimeter but a fractional area?

Take a look at Can They Be Equal? to explore rectangles where the area is numerically equal to the perimeter.