Other tags that relate to Square Pizza
Interactivities. Mathematical reasoning & proof. Visualising. Pythagoras' theorem. Creating and manipulating expressions and formulae. Symmetry. Describing patterns and sequences. Factors and multiples. Area - triangles, quadrilaterals, compound shapes. Generalising.There are 36 results
Broad Topics > Patterns, Sequences and Structure > Describing patterns and sequences
Quadratic Patterns
Age 11 to 14
Challenge Level
Surprising numerical patterns can be explained using algebra and diagrams...
Steps to the Podium
Age 7 to 14
Challenge Level
It starts quite simple but great opportunities for number discoveries and patterns!
Magic Letters
Age 11 to 14
Challenge Level
Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
Triangle Numbers
Age 11 to 14
Challenge Level
Take a look at the multiplication square. The first eleven triangle numbers have been identified. Can you see a pattern? Does the pattern continue?
Frogs
Age 11 to 14
Challenge Level
How many moves does it take to swap over some red and blue frogs? Do you have a method?
Tower of Hanoi
Age 11 to 14
Challenge Level
The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.
Attractive Tablecloths
Age 14 to 16
Challenge Level
Charlie likes tablecloths that use as many colours as possible, but insists that his tablecloths have some symmetry. Can you work out how many colours he needs for different tablecloth designs?
Seven Squares - Group-worthy Task
Age 11 to 14
Challenge Level
Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?
Partly Painted Cube
Age 14 to 16
Challenge Level
Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?
Fibonacci Surprises
Age 11 to 14
Challenge Level
Play around with the Fibonacci sequence and discover some surprising results!
Pattern Power
Age 5 to 14
Mathematics is the study of patterns. Studying pattern is an opportunity to observe, hypothesise, experiment, discover and create.
Magic Crosses
Age 7 to 14
Challenge Level
Can you find examples of magic crosses? Can you find all the possibilities?
Train Spotters' Paradise
Age 11 to 16
Dave Hewitt suggests that there might be more to mathematics than looking at numerical results, finding patterns and generalising.
Picturing Triangular Numbers
Age 11 to 14
Challenge Level
Triangular numbers can be represented by a triangular array of squares. What do you notice about the sum of identical triangle numbers?
Seven Squares
Age 11 to 14
Challenge Level
Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?
Shifting Times Tables
Age 11 to 14
Challenge Level
Can you find a way to identify times tables after they have been shifted up or down?
Odds, Evens and More Evens
Age 11 to 14
Challenge Level
Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...
Summing Consecutive Numbers
Age 11 to 14
Challenge Level
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?
Impossibilities
Age 11 to 14
Challenge Level
Just because a problem is impossible doesn't mean it's difficult...
Digital Roots
Age 7 to 14
In this article for teachers, Bernard Bagnall describes how to find digital roots and suggests that they can be worth exploring when confronted by a sequence of numbers.
Picturing Square Numbers
Age 11 to 14
Challenge Level
Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?
Elevenses
Age 11 to 14
Challenge Level
How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?
Painted Cube
Age 14 to 16
Challenge Level
Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?
Changing Places
Age 14 to 16
Challenge Level
Place a red counter in the top left corner of a 4x4 array, which is covered by 14 other smaller counters, leaving a gap in the bottom right hand corner (HOME). What is the smallest number of moves. . . .
1 Step 2 Step
Age 11 to 14
Challenge Level
Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?
Days and Dates
Age 11 to 14
Challenge Level
Investigate how you can work out what day of the week your birthday will be on next year, and the year after...
Growing Surprises
Age 11 to 14
Challenge Level
Can you find the connections between linear and quadratic patterns?
Paving Paths
Age 11 to 14
Challenge Level
How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?
Maxagon
Age 11 to 14
Challenge Level
What's the greatest number of sides a polygon on a dotty grid could have?
Farey Sequences
Age 11 to 14
Challenge Level
There are lots of ideas to explore in these sequences of ordered fractions.
Even Up
Age 11 to 14 Short
Challenge Level
Consider all of the five digit numbers which we can form using only the digits 2, 4, 6 and 8. If these numbers are arranged in ascending order, what is the 512th number?
Cuisenaire Environment
Age 5 to 16
Challenge Level
An environment which simulates working with Cuisenaire rods.
NRICH is part of the family of activities in the Millennium Mathematics Project.