### There are 19 results

Broad Topics >

Measuring and calculating with units > Area

##### Age 11 to 14 Challenge Level:

How can you change the area of a shape but keep its perimeter the same? How can you change the perimeter but keep the area the same?

##### Age 11 to 14 Challenge Level:

It's easy to work out the areas of most squares that we meet, but
what if they were tilted?

##### Age 14 to 16 Challenge Level:

What is the ratio of the area of a square inscribed in a semicircle to the area of the square inscribed in the entire circle?

##### Age 14 to 16 Challenge Level:

A square of area 40 square cms is inscribed in a semicircle. Find
the area of the square that could be inscribed in a circle of the
same radius.

##### Age 14 to 16 Challenge Level:

Which has the greatest area, a circle or a square inscribed in an isosceles, right angle triangle?

##### Age 11 to 14 Challenge Level:

Seven small rectangular pictures have one inch wide frames. The frames are removed and the pictures are fitted together like a jigsaw to make a rectangle of length 12 inches. Find the dimensions of. . . .

##### Age 7 to 14 Challenge Level:

A task which depends on members of the group noticing the needs of
others and responding.

##### Age 11 to 14 Challenge Level:

I'm thinking of a rectangle with an area of 24. What could its perimeter be?

##### Age 11 to 14 Challenge Level:

We started drawing some quadrilaterals - can you complete them?

##### Age 11 to 14 Challenge Level:

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

##### Age 11 to 14 Challenge Level:

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

##### Age 11 to 14 Challenge Level:

Can you find rectangles where the value of the area is the same as the value of the perimeter?

##### Age 11 to 14 Challenge Level:

Bluey-green, white and transparent squares with a few odd bits of
shapes around the perimeter. But, how many squares are there of
each type in the complete circle? Study the picture and make. . . .

##### Age 7 to 14 Challenge Level:

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

##### Age 14 to 16 Challenge Level:

Can you choose your units so that a cube has the same numerical value for it volume, surface area and total edge length?

##### Age 14 to 16 Short Challenge Level:

If the base of a rectangle is increased by 10% and the area is unchanged, by what percentage is the width decreased by ?

##### Age 11 to 14 Challenge Level:

Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?

##### Age 11 to 14 Challenge Level:

A tower of squares is built inside a right angled isosceles triangle. What fraction of the area of the triangle is covered by the squares?

##### Age 11 to 14 Challenge Level:

What happens to the area and volume of 2D and 3D shapes when you
enlarge them?