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Resources tagged with Working systematically similar to Walking Round a Triangle:

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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Using, Applying and Reasoning about Mathematics > Working systematically

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A Bag of Marbles

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Use the information to describe these marbles. What colours must be on marbles that sparkle when rolling but are dark inside?

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Putting Two and Two Together

Stage: 2 Challenge Level: Challenge Level:1

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?

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An Introduction to Magic Squares

Stage: 1, 2, 3 and 4

Find out about Magic Squares in this article written for students. Why are they magic?!

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Triangle Edges

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Four-triangle Arrangements

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

How many different shapes can you make by putting four right- angled isosceles triangles together?

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Late Again

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Moira is late for school. What is the shortest route she can take from the school gates to the entrance?

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Ordered Ways of Working Lower Primary

Stage: 1 Challenge Level: Challenge Level:1

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

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Leap Frog

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

The brown frog and green frog want to swap places without getting wet. They can hop onto a lily pad next to them, or hop over each other. How could they do it?

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Button-up Some More

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

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Tri.'s

Stage: 2 Challenge Level: Challenge Level:1

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

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Name the Children

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Sticks and Triangles

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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?

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Inside Triangles

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Jigsaw Pieces

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Imagine that the puzzle pieces of a jigsaw are roughly a rectangular shape and all the same size. How many different puzzle pieces could there be?

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Egyptian Rope

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

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Whose Sandwich?

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Let's Investigate Triangles

Stage: 1 Challenge Level: Challenge Level:1

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

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Broken Toaster

Stage: 2 Short Challenge Level: Challenge Level:1

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

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Growing Garlic

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Ben and his mum are planting garlic. Use the interactivity to help you find out how many cloves of garlic they might have had.

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Triangles All Around

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Nine-pin Triangles

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Finding All Possibilities Lower Primary

Stage: 1 Challenge Level: Challenge Level:1

These activities focus on finding all possible solutions so working in a systematic way will ensure none are left out.

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Ordered Ways of Working Lower Primary

Stage: 1 Challenge Level: Challenge Level:1

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

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Ladybirds in the Garden

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

In Sam and Jill's garden there are two sorts of ladybirds with 7 spots or 4 spots. What numbers of total spots can you make?

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Finding All Possibilities Lower Primary

Stage: 1 Challenge Level: Challenge Level:1

These activities focus on finding all possible solutions so if you work in a systematic way, you won't leave any out.

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Unit Differences

Stage: 1 Challenge Level: Challenge Level:1

This challenge is about finding the difference between numbers which have the same tens digit.

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Homes

Stage: 1 Challenge Level: Challenge Level:1

There are to be 6 homes built on a new development site. They could be semi-detached, detached or terraced houses. How many different combinations of these can you find?

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Seven Flipped

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Investigate the smallest number of moves it takes to turn these mats upside-down if you can only turn exactly three at a time.

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Routes 1 and 5

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Triangle Animals

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Cover the Camel

Stage: 1 Challenge Level: Challenge Level:1

Can you cover the camel with these pieces?

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Tessellate the Triominoes

Stage: 1 Challenge Level: Challenge Level:1

What happens when you try and fit the triomino pieces into these two grids?

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A City of Towers

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

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?

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Adding Plus

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Can you put plus signs in so this is true? 1 2 3 4 5 6 7 8 9 = 99 How many ways can you do it?

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What Could it Be?

Stage: 1 Challenge Level: Challenge Level:1

In this calculation, the box represents a missing digit. What could the digit be? What would the solution be in each case?

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Display Boards

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

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

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Teddy Town

Stage: 1, 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

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?

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Brush Loads

Stage: 2 Challenge Level: Challenge Level:1

How can you arrange the 5 cubes so that you need the smallest number of Brush Loads of paint to cover them? Try with other numbers of cubes as well.

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Briefcase Lock

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

My briefcase has a three-number combination lock, but I have forgotten the combination. I remember that there's a 3, a 5 and an 8. How many possible combinations are there to try?

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Calcunos

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

If we had 16 light bars which digital numbers could we make? How will you know you've found them all?

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Sums and Differences 2

Stage: 2 Challenge Level: Challenge Level:1

Find the sum and difference between a pair of two-digit numbers. Now find the sum and difference between the sum and difference! What happens?

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Sums and Differences 1

Stage: 2 Challenge Level: Challenge Level:1

This challenge focuses on finding the sum and difference of pairs of two-digit numbers.

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Cover the Tray

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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

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Calendar Cubes

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Make a pair of cubes that can be moved to show all the days of the month from the 1st to the 31st.

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Mixed-up Socks

Stage: 1 Challenge Level: Challenge Level:2 Challenge Level:2

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

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2,4,6,8

Stage: 1 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Using the cards 2, 4, 6, 8, +, - and =, what number statements can you make?

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Build it up More

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

This task follows on from Build it Up and takes the ideas into three dimensions!

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Eight Queens

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Place eight queens on an chessboard (an 8 by 8 grid) so that none can capture any of the others.

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Pouring the Punch Drink

Stage: 2 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

There are 4 jugs which hold 9 litres, 7 litres, 4 litres and 2 litres. Find a way to pour 9 litres of drink from one jug to another until you are left with exactly 3 litres in three of the jugs.