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Small pepper seedlings in turquoise pots.

problem

Hexapentagon

11 to 14

Weekly Problem 53 - 2007
The diagram shows a regular pentagon and regular hexagon which overlap. What is the value of x?

Small pepper seedlings in turquoise pots.

problem

Outside the Boxes

11 to 14

Weekly Problem 13 - 2008
The diagram shows three squares drawn on the sides of a triangle. What is the sum of the three marked angles?

Small pepper seedlings in turquoise pots.

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Angle to Chord

14 to 16

Weekly Problem 23 - 2008
A triangle has been drawn inside this circle. Can you find the length of the chord it forms?

Small pepper seedlings in turquoise pots.

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Defined Distances

11 to 14

Mark writes four points on a line at different lengths. What is the distance between the two points furthest apart?

Small pepper seedlings in turquoise pots.

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Daniel's Star

11 to 14

A solid 'star' shape is created. How many faces does it have?

Small pepper seedlings in turquoise pots.

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Red or Black

11 to 14

How many edges of a cube need to be coloured black to mean every face has at least one black edge?

Small pepper seedlings in turquoise pots.

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Cubic Vision

14 to 16

How many cubes can you see?

Small pepper seedlings in turquoise pots.

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Twelve Cubed

14 to 16

A wooden cube with edges of length 12cm is cut into cubes with edges of length 1cm. What is the total length of the all the edges of these centimetre cubes?

Small pepper seedlings in turquoise pots.

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Smile

14 to 16

Four semicircles are drawn on a line to form a shape. What is the area of this shape?

Small pepper seedlings in turquoise pots.

problem

Square Flower

14 to 16

The diagram shows 8 circles surrounding a region. What is the perimeter of the shaded region?