Resources by 1001 Math Problems

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Factor trees puzzle

The mathematics involved in this puzzle is factorisation and this leads on to prime factors. Different factor trees for 40 are given and the challenge is to find the different factorisations. This is helpful for convincing students that there are several ways to find the prime factorisation. This resource is...

This collection contains resources from the website 1001mathproblems.com by Sian Zelbo. The topics covered include factors, multiples, primes, and common factors. Each topic is introduced in the form of a puzzle, many of which have several different...

Floating blocks problem

Six shapes are presented in different 3D orientations. The task is to find which of the shapes is identical.

Flower problem

The numbers from 1 to 9 are to be placed on a grid superimposed on a flower. The challenge is to ensure that the total of each line gives an equal sum. This resource is designed to be used after the ‘Number Bond Garden’ puzzle. The resource is suitable for Key Stage 2 students.

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Folded polyhedral problem

This puzzle is idea for use when teaching nets. Six nets are presented and the challenge is to decide which can be folded into polyhedral. The nets are provided in a format that allows for cutting out to test answers. This resource is suitable for Key Stage 3.

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Four paths problem

Four paths are shown connecting opposite corners of a square. Tasks are to work out which is the longest path and which is the shortest path. This resource is suitable for Key Stages 2.

Geometric progressions

Five squares are given. Each square contains a pattern of squares or triangles that become smaller and smaller until they are infinitely small. The challenge is to work out what fraction of each square is shaded. The challenge provides an introduction to the concept of geometric progressions and the idea of a limit...

Guess my word problem

Two people are playing a guessing game. One of them thinks of a five letter word, and each time the other makes a guess they tell them the number of letters that they got correct. Can you figure out the correct word with just three guesses?

There are two further examples to try.

Half-a-shape puzzle

A heart, square, hexagon, and three-quarters of a square are shown with subdivisions. The challenge is to shade exactly half the area of each shape. This resource is suitable for Key Stages 2 and 3.

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Half-a-square puzzle

Eight squares with various designs are shown. The challenge is to find which ones have half of the area shaded. This resource is suitable for Key Stage 2.

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