How many lines are there in your diagrams? How many lines are there in the original diagram? Can you find a way of working out […]
Five red-eye frogs and five orange frogs line up in a row with a space between them.
They have to change places but they can only hop, one frog over another frog or slide to an empty space next to them.
Red-eye frogs can […]
Click here to register for the 2022 GLOBAL MATHS AND SCIENCE LESSON ON TUESDAY 11 OCTOBER. See below for links to lesson resources in English and Spanish.
It is not difficult to put a list of decimals in order of size. But what about ordering fractions?
John Farey introduced sequences of sequences of fractions in order of size, now called Farey sequences. Can you discover his method from the following examples?
Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of […]
Sequences of words are formed as follows:
The first word only contains the single letter A.
To get the next word in the sequence change each A in the previous word into B and each B in the previous word […]
Start to explore ideas of Fibonacci numbers and the golden ratio by copying the picture and drawing this spiral which is made up of quarter circles. Watch this inspirational video.
Then create your own elephant. The numbers in the centres of the squares give the radii of the quarter circles […]
Count in 4s to give the 4 times table: 4, 8, 12, 16, 20, … 80, 84, 88, …
Which tables were shifted to give the following sequences? By how much? Explain […]
A sequence is defined by the formula an = n2 – 2n + 1.
(a) Calculate the first 8 terms of the sequence.
(b) Calculate the first difference between the terms.
(c) Calculate the second difference between the terms.
(d) What can you say about the results you obtained?
Please click Guide for Home […]
1.1 The square grids below the continuous line depict negative numbers and those above the line positive numbers. Study the square grids shown above with black squares forming a pattern. How is the pattern growing? Create square grids 9, 10 and 11; complete them with black squares to further develop the […]