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Number and algebra

  • The Number System and Place Value
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For younger learners

  • Early Years Foundation Stage

Thinking Strategically


Thinking Strategically is part of our Thinking Mathematically collection.

Dozens

Age 7 to 14
Challenge Level Yellow star

Can you select the missing digit(s) to find the largest multiple?

Treasure Hunt

Age 7 to 14
Challenge Level Yellow star

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Factors and Multiples Game

Age 7 to 16
Challenge Level Yellow star

A game in which players take it in turns to choose a number. Can you block your opponent?

Have You Got It?

Age 11 to 14
Challenge Level Yellow star

Can you explain the strategy for winning this game with any target?

Dicey Operations

Age 11 to 14
Challenge Level Yellow star

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Gabriel's Problem

Age 11 to 14
Challenge Level Yellow star

Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

How Much Can We Spend?

Age 11 to 14
Challenge Level Yellow star

A country has decided to have just two different coins, 3z and 5z coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

Mixing Lemonade

Age 11 to 14
Challenge Level Yellow star

Can you work out which drink has the stronger flavour?

Thinking Strategically - Short Problems

Age 11 to 16

A collection of short Stage 3 and 4 problems on Thinking Strategically.

Diamond Collector

Age 11 to 16
Challenge Level Yellow star

Collect as many diamonds as you can by drawing three straight lines.

Square It

Age 11 to 16
Challenge Level Yellow star

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Parallelogram It

Age 11 to 16
Challenge Level Yellow star

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

Rhombus It

Age 11 to 16
Challenge Level Yellow starYellow star

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

Wipeout

Age 11 to 16
Challenge Level Yellow starYellow star

Can you do a little mathematical detective work to figure out which number has been wiped out?

11x11 Square

Age 11 to 16
Challenge Level Yellow starYellow star

Here's a neat trick you can do with an 11 by 11 square...

Connect Three

Age 11 to 16
Challenge Level Yellow starYellow star

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

Product Sudoku

Age 11 to 16
Challenge Level Yellow starYellow star

The clues for this Sudoku are the product of the numbers in adjacent squares.

River Crossing

Age 11 to 18
Challenge Level Yellow star

There is nothing half so much worth doing as simply messing about in boats...

Warmsnug Double Glazing

Age 14 to 16
Challenge Level Yellow star

How have "Warmsnug" arrived at the prices shown on their windows? Which window has been given an incorrect price?

Latin Numbers

Age 14 to 16
Challenge Level Yellow starYellow starYellow star

Can you create a Latin Square from multiples of a six digit number?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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