Resources by 1001 Math Problems

Hex-a-puzzle 1

This puzzle is about factors and common factors. The numbers from 1 to 9 are to be placed on a grid of 9 hexagons so that the numbers on any straight line are a multiple of 3. This resource is suitable for Key Stage 3.

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Hex-a-puzzle 2

This puzzle is about factors and common factors. There are three puzzles to solve using a grid of 9 hexagons. The first two puzzles consider multiples. The final puzzle considers common factors and requires the numbers from 1 to 9 to be placed onto the grid so that no two adjacent numbers share a common factor...

Hole punching problem

Origami squares are shown with different colours on each side of the paper. Two folds are made and then a hole is punched through all of the layers. The challenge is to determine where the holes appear when the squares of paper are unfolded. This resource is suitable for Key Stage 3 and could be used as an...

Honeybee family tree

The family tree for honeybees is given together with rules for reproduction. The challenge begins with identification of male and female bees in a diagram. Further rows are then added and the information collected in a table. There is an extension to then find the number of bees in other generations without drawing...

Invisible square

Four points are given that lie on the sides of an invisible square. The challenge is to draw in the sides of the square. Spatial reasoning is an essential skill for this task. This resource is suitable for Key Stage 3.

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Keyhole problem

Three shapes constructed from cubes are presented. The challenge is to find the smallest ‘keyhole’ that the blocks will fit through, provided ‘turning’ is not allowed. This resource is suitable for Key Stage 3 and could be used as an extension to the topic of 2D representations of 3D shapes.

Lattice polygons

A four by four grid is shown. The challenge is to find polygons with an area of exactly two square units. As additional challenges finding different types of triangles is posed as a problem, followed by pentagons and hexagons. The problem can be approached by counting squares, though some knowledge of how to find...

Mobius highway

Three cars drive on a highway twisted into a Mobius strip. Each car stays in its lane and are driven at the same speed. The challenge is to work out what will happen and if the cars will ever meet. This resource is suitable for Key Stage 3.

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