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The following resource materials are suitable for use by 12 (and 13) year-olds as well as more able 10 & 11 year-olds.  (Older students may find some of them of interest.)

Clicking on the links opens up the pdf file

 
Above or below Can you fathom out why the alphabet has been sorted in some rather strange ways ? Shape-sorting, reflection, rotation, problem-solving
Addition against the clock How quickly can you add ? Addition
Angles Estimating and measuring angles - how accurate are you ? Measuring angles, subtraction
Block%ages Estimating percentages of shaded blocks Measuring, percentages
Box clever Fill in the boxes in these tricky equations Addition, subtraction
Circle Angles Investigating angles within a sector Measuring angles
Circle Angles 2 A further investigation of angles within a sector Measuring angles
Circle Patterns Make a host of fascinating patterns using just circles and straight lines Using compasses
Circles A page full of circles to use with the above investigations  
Coloured cube Mentally manipulate the coloured cube to see what's possible and what's not. Three-dimensional shapes, problem-solving
Cube-nets Will the nets shown fold to make a cube - or will you come unstuck ? Nets, problem-solving
Dice Can you predict which number combinations will come up most often ? Addition, problem-solving
Divisibility How can you tell if  one number is divisible by another number ? Addition, subtraction, division
Extra extra! Can you explain where the extra square comes from in this illusion ? Problem-solving
Fascinating facts Manipulate numbers to see what you can discover Addition, subtraction, multiplication, simple algebra
Grand Designs Rearrange the numbers 1 - 9 for maximum effect Multiplication, addition, problem-solving
Hanoi Tower A traditional puzzle to develop problem-solving skills Problem-solving
Hanoi Pieces Cut-out pieces to help you solve the Hanoi Tower puzzle in hands-on fashion  
Jigsaw Pieces Investigating the variety of different jigsaw pieces. Problem-solving
Knight Moves Can you keep track of the maths as you move a knight around a chessboard Addition, division, problem-solving
Magic Matrix Can you work out how the numbers you choose always add up to the same total ? Addition, problem-solving
 

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Mobius Magic A practical "paste and cut" activity that yields some weird results Problem-solving
Number Square Learn the "trick" of arranging numbers on a 3x3 grid to form a magic square Addition, problem-solving
On line Estimating and measuring line-length Estimating length, measuring, mean, median, mode
Painted cube Mentally deconstruct the cube to work out what goes where Problem-solving, number sequences, simple algebra
Pentominoes Can you discover all the different Pentomino shapes ? Problem-solving
Pentominoes 2 Investigating the properties of the Pentomino pieces Problem-solving, reflection, rotation
Petal Pattern Draw a complicated pattern using just circles Using compasses
Polygons Investigating the properties of the angles in various polygons Measuring angles, addition
Problems in the kitchen 3 measuring and weighing problems where the maths is simple but lateral thinking is required Addition, subtraction, problem-solving
Pretty Polyhedra Investigating properties of the regular polyhedra solids Problem-solving
Roman sums Can you work out how to add & subtract Roman numerals ? Problem-solving
Serious series sums Can you work out how to find the sum of a series of numbers - and do it in a flash ? Addition, subtraction, multiplication
Spreadsheet pies Making pie-charts using spreadsheets Data collection, simple IT skills
Square to zero Choose a set of random numbers - then see how long it takes for them to disappear Subtraction
Stars in their eyes Join the dots to form simple stars Problem-solving
Tiles Arrange the tiles in a grid according to a set of given rules Problem-solving
Tri-grids Which of the given numbers adds up to the target sum ? Addition
Tri-grids (decimals) Which of the given decimal numbers adds up to the target sum ? Addition of decimals
Tri-grids (fractions) Which of the given fractions adds up to the target number ? Addition of fractions
Tri-grids (percentages) Which of the given percentages adds up to the target number ? Addition
Tri-quivalents Which of the given fractions adds up to the target number ? Equivalent fractions, addition of fractions
Tri-quivalents (answers) Answers to the above  
Volume Can you work out the volume of some regular solids - and a few very irregular ones ? Multiplication, problem-solving
Weigh to go As a contestant on the quiz-show "The Golden Hour", could you win a bar of gold ? Problem-solving (advanced)

The Brainiest, Insaniest, Ultimate Puzzle Book

 

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3rd Tier

For more maths puzzles and problems visit

www.nrich.maths.org

You can even send in your own questions about maths to be answered by a team of experts.

Suitable for ages 5 - adult.

 

The Big Book of Mind-Bending Puzzles

 

Click here to buy on Amazon