Area - squares and rectangles
problem
A day with grandpa
Age
7 to 11
Challenge level
Grandpa was measuring a rug using yards, feet and inches. Can you
help William to work out its area?
problem
Framed
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 the pictures.
problem
Flower show
Age
14 to 16
Challenge level
How long will it take six gardeners to dig six circular flower beds?
problem
Tiling
Age
7 to 11
Challenge level
An investigation that gives you the opportunity to make and justify predictions.
problem
Take a square
Age
14 to 16
Challenge level
Cut off three right angled isosceles triangles to produce a
pentagon. With two lines, cut the pentagon into three parts which
can be rearranged into another square.
problem
Guillotine
Age
11 to 14
Challenge level
Weekly Problem 9 - 2006
What fraction of the area of the rectangle is shaded?
What fraction of the area of the rectangle is shaded?
problem
Griddy region
Age
14 to 16
Challenge level
Weekly Problem 34 - 2008
What is the area of the region common to this triangle and square?
What is the area of the region common to this triangle and square?
problem
Rope mat
Age
7 to 11
Challenge level
How many centimetres of rope will I need to make another mat just
like the one I have here?
problem
Semicircle stack
Age
14 to 16
Challenge level
What is the total area enclosed by the three semicicles?