# Resources tagged with: Working systematically

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##### Other tags that relate to First Forward Into Logo 8: More about Variables
Logo. Angle properties of polygons. Real world. Practical Activity. Iteration. Sport. Introducing algebra. Working systematically. Programming. STEM - General.

### There are 132 results

Broad Topics > Thinking Mathematically > Working systematically

### LOGO Challenge - Pentagram Pylons

##### Age 11 to 18Challenge Level

Pentagram Pylons - can you elegantly recreate them? Or, the European flag in LOGO - what poses the greater problem?

### LOGO Challenge - Following On

##### Age 11 to 18Challenge Level

Remember that you want someone following behind you to see where you went. Can yo work out how these patterns were created and recreate them?

### LOGO Challenge - Sequences and Pentagrams

##### Age 11 to 18Challenge Level

Explore this how this program produces the sequences it does. What are you controlling when you change the values of the variables?

### LOGO Challenge - the Logic of LOGO

##### Age 11 to 16Challenge Level

Just four procedures were used to produce a design. How was it done? Can you be systematic and elegant so that someone can follow your logic?

### Difference Dynamics

##### Age 14 to 18Challenge Level

Take three whole numbers. The differences between them give you three new numbers. Find the differences between the new numbers and keep repeating this. What happens?

### Colour Islands Sudoku 2

##### Age 11 to 18Challenge Level

In this Sudoku, there are three coloured "islands" in the 9x9 grid. Within each "island" EVERY group of nine cells that form a 3x3 square must contain the numbers 1 through 9.

### I've Submitted a Solution - What Next?

##### Age 5 to 18

In this article, the NRICH team describe the process of selecting solutions for publication on the site.

### Pole Star Sudoku

##### Age 14 to 18Challenge Level

A Sudoku based on clues that give the differences between adjacent cells.

### Corresponding Sudokus

##### Age 11 to 18

This second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.

### Twin Corresponding Sudoku

##### Age 11 to 18Challenge Level

This sudoku requires you to have "double vision" - two Sudoku's for the price of one

### Bent Out of Shape

##### Age 14 to 18Challenge Level

An introduction to bond angle geometry.

### Twin Chute-swapping Sudoku

##### Age 14 to 18Challenge Level

A pair of Sudokus with lots in common. In fact they are the same problem but rearranged. Can you find how they relate to solve them both?

### Problem Solving, Using and Applying and Functional Mathematics

##### Age 5 to 18Challenge Level

Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information.

### Triangles to Tetrahedra

##### Age 11 to 14Challenge Level

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

### Constellation Sudoku

##### Age 14 to 18Challenge Level

Special clue numbers related to the difference between numbers in two adjacent cells and values of the stars in the "constellation" make this a doubly interesting problem.

### LOGO Challenge - Triangles-squares-stars

##### Age 11 to 16Challenge Level

Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

### Making Maths: Double-sided Magic Square

##### Age 7 to 14Challenge Level

Make your own double-sided magic square. But can you complete both sides once you've made the pieces?

### More on Mazes

##### Age 7 to 14

There is a long tradition of creating mazes throughout history and across the world. This article gives details of mazes you can visit and those that you can tackle on paper.

### Special Numbers

##### Age 11 to 14Challenge Level

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

### Medal Muddle

##### Age 11 to 14Challenge Level

Countries from across the world competed in a sports tournament. Can you devise an efficient strategy to work out the order in which they finished?

### The Best Card Trick?

##### Age 11 to 16Challenge Level

Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?

### Sociable Cards

##### Age 11 to 14Challenge Level

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

### Instant Insanity

##### Age 11 to 18Challenge Level

Given the nets of 4 cubes with the faces coloured in 4 colours, build a tower so that on each vertical wall no colour is repeated, that is all 4 colours appear.

### Olympic Logic

##### Age 11 to 16Challenge Level

Can you use your powers of logic and deduction to work out the missing information in these sporty situations?

### Troublesome Triangles

##### Age 7 to 14Challenge Level

Many natural systems appear to be in equilibrium until suddenly a critical point is reached, setting up a mudslide or an avalanche or an earthquake. In this project, students will use a simple. . . .

### Crossing the Bridge

##### Age 11 to 18Challenge Level

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

##### Age 11 to 14Challenge Level

By selecting digits for an addition grid, what targets can you make?

### Gabriel's Problem

##### Age 11 to 14Challenge Level

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

### Twin Corresponding Sudokus II

##### Age 11 to 16Challenge Level

Two sudokus in one. Challenge yourself to make the necessary connections.

### Spot the Card

##### Age 14 to 16Challenge Level

It is possible to identify a particular card out of a pack of 15 with the use of some mathematical reasoning. What is this reasoning and can it be applied to other numbers of cards?

### Isosceles Triangles

##### Age 11 to 14Challenge Level

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

### Fence It

##### Age 11 to 14Challenge Level

If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?

### Integrated Sums Sudoku

##### Age 11 to 16Challenge Level

The puzzle can be solved with the help of small clue-numbers which are either placed on the border lines between selected pairs of neighbouring squares of the grid or placed after slash marks on. . . .

### Charitable Pennies

##### Age 7 to 14Challenge Level

Investigate the different ways that fifteen schools could have given money in a charity fundraiser.

### Making a Difference

##### Age 11 to 14Challenge Level

How many different differences can you make?

### Ben's Game

##### Age 11 to 16Challenge Level

Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?

### Peaches Today, Peaches Tomorrow...

##### Age 11 to 14Challenge Level

A monkey with peaches, keeps a fraction of them each day, gives the rest away, and then eats one. How long can his peaches last?

### Ratio Sudoku 2

##### Age 11 to 16Challenge Level

A Sudoku with clues as ratios.

### Intersection Sudoku 1

##### Age 11 to 16Challenge Level

A Sudoku with a twist.

##### Age 11 to 16Challenge Level

Four small numbers give the clue to the contents of the four surrounding cells.

### Difference Sudoku

##### Age 14 to 16Challenge Level

Use the differences to find the solution to this Sudoku.

### Magnetic Personality

##### Age 7 to 16Challenge Level

60 pieces and a challenge. What can you make and how many of the pieces can you use creating skeleton polyhedra?

##### Age 7 to 14Challenge Level

I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?

### Seasonal Twin Sudokus

##### Age 11 to 16Challenge Level

This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?

### Cinema Problem

##### Age 11 to 14Challenge Level

A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly Â£100 if the prices are Â£10 for adults, 50p for pensioners and 10p for children.

### Latin Lilies

##### Age 7 to 14Challenge Level

In this game you are challenged to gain more columns of lily pads than your opponent.

### Pole Star Sudoku 2

##### Age 11 to 16Challenge Level

This Sudoku, based on differences. Using the one clue number can you find the solution?

### Consecutive Negative Numbers

##### Age 11 to 14Challenge Level

Do you notice anything about the solutions when you add and/or subtract consecutive negative numbers?