Thinking Strategically

Thinking Strategically is part of our Working Mathematically collection.

Latin Numbers

Age 14 to 16 Challenge Level:

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

Dozens

Age 7 to 14 Challenge Level:

Do you know a quick way to check if a number is a multiple of two? How about three, four or six?

Square It

Age 11 to 16 Challenge Level:

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.

Warmsnug Double Glazing

Age 11 to 14 Challenge Level:

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

Product Sudoku

Age 11 to 14 Challenge Level:

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

Factors and Multiples Game

Age 7 to 16 Challenge Level:

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

Diamond Collector

Age 11 to 14 Challenge Level:

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

Connect Three

Age 11 to 16 Challenge Level:

Can you be the first to complete a row of three?

Crossing the Bridge

Age 11 to 14 Challenge Level:

Four friends must cross a bridge. How can they all cross it in just 17 minutes?

Cops and Robbers

Age 7 to 16 Challenge Level:

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

Dicey Operations

Age 11 to 14 Challenge Level:

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

Wipeout

Age 11 to 14 Challenge Level:

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:

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

River Crossing

Age 11 to 14 Challenge Level:

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

Gabriel's Problem

Age 11 to 14 Challenge Level:

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

Thinking Strategically - Short Problems

Age 11 to 16

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

Have You Got It?

Age 11 to 14 Challenge Level:

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