Resources tagged with: Working systematically

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Broad Topics > Thinking Mathematically > Working systematically

Rabbits in the Pen

Age 7 to 11Challenge Level

Using the statements, can you work out how many of each type of rabbit there are in these pens?

Arranging the Tables

Age 7 to 11Challenge Level

There are 44 people coming to a dinner party. There are 15 square tables that seat 4 people. Find a way to seat the 44 people using all 15 tables, with no empty places.

All Seated

Age 7 to 11Challenge Level

Look carefully at the numbers. What do you notice? Can you make another square using the numbers 1 to 16, that displays the same properties?

Age 5 to 7Challenge Level

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?

How Old?

Age 7 to 11Challenge Level

Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?

Centred Squares

Age 7 to 11Challenge Level

This challenge, written for the Young Mathematicians' Award, invites you to explore 'centred squares'.

The Pied Piper of Hamelin

Age 7 to 11Challenge Level

This problem is based on the story of the Pied Piper of Hamelin. Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

X Is 5 Squares

Age 7 to 11Challenge Level

Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?

A-magical Number Maze

Age 7 to 11Challenge Level

This magic square has operations written in it, to make it into a maze. Start wherever you like, go through every cell and go out a total of 15!

Bean Bags for Bernard's Bag

Age 7 to 11Challenge Level

How could you put eight beanbags in the hoops so that there are four in the blue hoop, five in the red and six in the yellow? Can you find all the ways of doing this?

Build it Up

Age 7 to 11Challenge Level

Can you find all the ways to get 15 at the top of this triangle of numbers? Many opportunities to work in different ways.

Spell by Numbers

Age 7 to 11Challenge Level

Can you substitute numbers for the letters in these sums?

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 Mixed-up Clock

Age 7 to 11Challenge Level

There is a clock-face where the numbers have become all mixed up. Can you find out where all the numbers have got to from these ten statements?

Ordered Ways of Working Upper Primary

Age 7 to 11Challenge Level

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

Sitting Round the Party Tables

Age 5 to 11Challenge Level

Sweets are given out to party-goers in a particular way. Investigate the total number of sweets received by people sitting in different positions.

Ancient Runes

Age 7 to 11Challenge Level

The Vikings communicated in writing by making simple scratches on wood or stones called runes. Can you work out how their code works using the table of the alphabet?

Journeys in Numberland

Age 7 to 11Challenge Level

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

Seating Arrangements

Age 7 to 11Challenge Level

Sitting around a table are three girls and three boys. Use the clues to work out were each person is sitting.

Age 7 to 11Challenge Level

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?

Team Scream

Age 7 to 11Challenge Level

Seven friends went to a fun fair with lots of scary rides. They decided to pair up for rides until each friend had ridden once with each of the others. What was the total number rides?

Plate Spotting

Age 7 to 11Challenge Level

I was in my car when I noticed a line of four cars on the lane next to me with number plates starting and ending with J, K, L and M. What order were they in?

Build it up More

Age 7 to 11Challenge Level

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

This Pied Piper of Hamelin

Age 7 to 11Challenge Level

Investigate the different numbers of people and rats there could have been if you know how many legs there are altogether!

Encouraging Primary Children to Work Systematically

Age 3 to 11

This article for primary teachers suggests ways in which to help children become better at working systematically.

Crack the Code

Age 7 to 11Challenge Level

The Zargoes use almost the same alphabet as English. What does this birthday message say?

Half Time

Age 5 to 11Challenge Level

What could the half time scores have been in these Olympic hockey matches?

Bunny Hop

Age 7 to 11Challenge Level

What is the smallest number of jumps needed before the white rabbits and the grey rabbits can continue along their path?

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?

Whose Face?

Age 5 to 11Challenge Level

These are the faces of Will, Lil, Bill, Phil and Jill. Use the clues to work out which name goes with each face.

Page Numbers

Age 7 to 11 ShortChallenge Level

Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?

Possible Pieces

Age 5 to 11Challenge Level

Can you create jigsaw pieces which are based on a square shape, with at least one peg and one hole?

Calcunos

Age 7 to 11Challenge Level

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

Family Tree

Age 7 to 11Challenge Level

Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.

How Much Did it Cost?

Age 7 to 11Challenge Level

Use your logical-thinking skills to deduce how much Dan's crisps and ice-cream cost altogether.

Route Product

Age 7 to 11Challenge Level

Find the product of the numbers on the routes from A to B. Which route has the smallest product? Which the largest?

Button-up Some More

Age 7 to 11Challenge Level

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

Pasta Timing

Age 7 to 11Challenge Level

Nina must cook some pasta for 15 minutes but she only has a 7-minute sand-timer and an 11-minute sand-timer. How can she use these timers to measure exactly 15 minutes?

Consecutive Numbers

Age 7 to 14Challenge Level

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Ice Cream

Age 7 to 11Challenge Level

You cannot choose a selection of ice cream flavours that includes totally what someone has already chosen. Have a go and find all the different ways in which seven children can have ice cream.

It Figures

Age 7 to 11Challenge Level

Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?

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?

1 to 8

Age 7 to 11Challenge Level

Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.

Rolling That Cube

Age 5 to 11Challenge Level

My dice has inky marks on each face. Can you find the route it has taken? What does each face look like?

Finding All Possibilities Upper Primary

Age 7 to 11Challenge Level

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

Jumping Squares

Age 5 to 7Challenge Level

In this problem it is not the squares that jump, you do the jumping! The idea is to go round the track in as few jumps as possible.

Calendar Cubes

Age 7 to 11Challenge Level

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

Pouring the Punch Drink

Age 7 to 11Challenge Level

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.

School Fair Necklaces

Age 5 to 11Challenge Level

How many possible necklaces can you find? And how do you know you've found them all?

Octa Space

Age 7 to 11Challenge Level

In the planet system of Octa the planets are arranged in the shape of an octahedron. How many different routes could be taken to get from Planet A to Planet Zargon?