# Resources tagged with: Working systematically

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### There are 321 results

Broad Topics > Thinking Mathematically > Working systematically

### Shunting Puzzle

##### Age 7 to 11Challenge Level

Can you shunt the trucks so that the Cattle truck and the Sheep truck change places and the Engine is back on the main line?

### Jigsaw Pieces

##### Age 7 to 11Challenge Level

How will you go about finding all the jigsaw pieces that have one peg and one hole?

### Inside Triangles

##### Age 5 to 7Challenge Level

How many different triangles can you draw on the dotty grid which each have one dot in the middle?

### More Transformations on a Pegboard

##### Age 7 to 11Challenge Level

Use the interactivity to find all the different right-angled triangles you can make by just moving one corner of the starting triangle.

### Open Boxes

##### Age 7 to 11Challenge Level

Can you work out how many cubes were used to make this open box? What size of open box could you make if you had 112 cubes?

### Display Boards

##### Age 7 to 11Challenge Level

Design an arrangement of display boards in the school hall which fits the requirements of different people.

### Single Track

##### Age 7 to 11Challenge Level

What is the best way to shunt these carriages so that each train can continue its journey?

### Triangle Edges

##### Age 5 to 7Challenge Level

How many triangles can you make using sticks that are 3cm, 4cm and 5cm long?

### Four Triangles Puzzle

##### Age 5 to 11Challenge Level

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

### Same Length Trains

##### Age 5 to 7Challenge Level

How many trains can you make which are the same length as Matt's and Katie's, using rods that are identical?

### Three Ball Line Up

##### Age 5 to 7Challenge Level

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

### Putting Two and Two Together

##### Age 7 to 11Challenge Level

In how many ways can you fit two of these yellow triangles together? Can you predict the number of ways two blue triangles can be fitted together?

### Square Corners

##### Age 7 to 11Challenge Level

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

### Triangle Animals

##### Age 5 to 7Challenge Level

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

### Nine-pin Triangles

##### Age 7 to 11Challenge Level

How many different triangles can you make on a circular pegboard that has nine pegs?

### Cuisenaire Counting

##### Age 5 to 7Challenge Level

Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

### Counters

##### Age 7 to 11Challenge Level

Hover your mouse over the counters to see which ones will be removed. Click to remove them. The winner is the last one to remove a counter. How you can make sure you win?

### Peg and Pin Boards

##### Age 5 to 11

This article for teachers suggests activities based on pegboards, from pattern generation to finding all possible triangles, for example.

### Coloured Squares

##### Age 5 to 7Challenge Level

Use the clues to colour each square.

##### Age 7 to 11Challenge Level

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

### Triangles All Around

##### Age 7 to 11Challenge Level

Can you find all the different triangles on these peg boards, and find their angles?

### Find the Difference

##### Age 5 to 7Challenge Level

Place the numbers 1 to 6 in the circles so that each number is the difference between the two numbers just below it.

### Waiting for Blast Off

##### Age 7 to 11Challenge Level

10 space travellers are waiting to board their spaceships. There are two rows of seats in the waiting room. Using the rules, where are they all sitting? Can you find all the possible ways?

### Teddy Town

##### Age 5 to 14Challenge Level

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

### Are You Well Balanced?

##### Age 5 to 7Challenge Level

Can you work out how to make each side of this balance equally balanced? You can put more than one weight on a hook.

### Painting Possibilities

##### Age 7 to 11Challenge Level

This task, written for the National Young Mathematicians' Award 2016, involves open-topped boxes made with interlocking cubes. Explore the number of units of paint that are needed to cover the boxes. . . .

### A City of Towers

##### Age 5 to 7Challenge Level

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

### How Long Does it Take?

##### Age 7 to 11Challenge Level

How long does it take to brush your teeth? Can you find the matching length of time?

### First Connect Three

##### Age 7 to 11Challenge Level

Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?

### Cover the Camel

##### Age 5 to 7Challenge Level

Can you cover the camel with these pieces?

### Whose Sandwich?

##### Age 5 to 7Challenge Level

Chandra, Jane, Terry and Harry ordered their lunches from the sandwich shop. Use the information below to find out who ordered each sandwich.

### Knight's Swap

##### Age 7 to 11Challenge Level

Swap the stars with the moons, using only knights' moves (as on a chess board). What is the smallest number of moves possible?

### Uncanny Triangles

##### Age 7 to 11Challenge Level

Can you help the children find the two triangles which have the lengths of two sides numerically equal to their areas?

### A Square of Numbers

##### Age 7 to 11Challenge Level

Can you put the numbers 1 to 8 into the circles so that the four calculations are correct?

### Multiples Grid

##### Age 7 to 11Challenge Level

What do the numbers shaded in blue on this hundred square have in common? What do you notice about the pink numbers? How about the shaded numbers in the other squares?

### Name the Children

##### Age 5 to 7Challenge Level

Can you find out in which order the children are standing in this line?

### Tangram Tangle

##### Age 5 to 7Challenge Level

If you split the square into these two pieces, it is possible to fit the pieces together again to make a new shape. How many new shapes can you make?

### Ordered Ways of Working Lower Primary

##### Age 5 to 7Challenge Level

These activities lend themselves to systematic working in the sense that it helps to have an ordered approach.

### Map Folding

##### Age 7 to 11Challenge Level

Take a rectangle of paper and fold it in half, and half again, to make four smaller rectangles. How many different ways can you fold it up?

### Broken Toaster

##### Age 7 to 11 ShortChallenge Level

Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?

### Sticks and Triangles

##### Age 7 to 11Challenge Level

Using different numbers of sticks, how many different triangles are you able to make? Can you make any rules about the numbers of sticks that make the most triangles?

### Two by One

##### Age 7 to 11Challenge Level

An activity making various patterns with 2 x 1 rectangular tiles.

### Tri.'s

##### Age 7 to 11Challenge Level

How many triangles can you make on the 3 by 3 pegboard?

### Routes 1 and 5

##### Age 5 to 7Challenge Level

Find your way through the grid starting at 2 and following these operations. What number do you end on?

### Cover the Tray

##### Age 7 to 11Challenge Level

These practical challenges are all about making a 'tray' and covering it with paper.

### Ordered Ways of Working Lower Primary

##### Age 5 to 7Challenge Level

These activities lend themselves to systematic working in the sense that it helps if you have an ordered approach.

### Shaping Up

##### Age 7 to 11Challenge Level

Are all the possible combinations of two shapes included in this set of 27 cards? How do you know?

### Tri-five

##### Age 7 to 11Challenge Level

Find all the different shapes that can be made by joining five equilateral triangles edge to edge.

### Three Way Mix Up

##### Age 5 to 11Challenge Level

Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?

### Daisy

##### Age 7 to 11Challenge Level

In this game for two players, take it in turns to shade one petal, or two petals next to each other. Is it better to go first or second?