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Small pepper seedlings in turquoise pots.
problem

Isosceles Reduction

14 to 16

Weekly Problem 29 - 2010
An isosceles triangle is drawn inside another triangle. Can you work out the length of its base?

Small pepper seedlings in turquoise pots.
problem

Diagonal Touch

14 to 16

Weekly Problem 21 - 2012
Two rectangles are drawn in a rectangle. What fraction of the rectangle is shaded?

Small pepper seedlings in turquoise pots.
problem

Pyramidal N-Gon

14 to 16

The base of a pyramid has n edges. What is the difference between the number of edges the pyramid has and the number of faces the pyramid has?

Small pepper seedlings in turquoise pots.
problem

Sideways Ratio

11 to 14

Weekly Problem 33 - 2014
A rectangle with area $125\text{cm}^2$ has sides in the ratio $4:5$. What is the perimeter of the rectangle?

Small pepper seedlings in turquoise pots.
problem

Mid-Point Area

11 to 14

M is the midpoint of the side of the rectangle. What is the area (in square units) of the triangle PMR?

Small pepper seedlings in turquoise pots.
problem

Crazy Shading

14 to 16

Can you work out the fraction of the larger square that is covered by the shaded area?

Small pepper seedlings in turquoise pots.
problem

Grid Without Lines

11 to 14

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

Symmetriangle

11 to 14

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.
problem

Rectangle Rearrangement

14 to 16

A 3×8 rectangle is cut into two pieces... then rearranged to form a right-angled triangle. What is the perimeter of the triangle formed?

Small pepper seedlings in turquoise pots.
problem

Ice Cream Tangent

14 to 16

The diagram shows a semi-circle and an isosceles triangle which have equal areas. What is the value of tan x?

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