Use Excel to investigate multiplication and number.
Use an interactive Excel spreadsheet to investigate remainders.
Arrange three 1s, three 2s and three 3s in this square so that
every row, column and diagonal adds to the same total.
Complete the magic square using the numbers 1 to 25 once each. Each
row, column and diagonal adds up to 65.
There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.
A group activity using visualisation of squares and triangles.
Hover your mouse over the counters to see which ones will be
removed. Click to remover them. The winner is the last one to
remove a counter. How you can make sure you win?
You have pitched your tent (the red triangle) on an island. Can you
move it to the position shown by the purple triangle making sure
you obey the rules?
Systematically explore the range of symmetric designs that can be
created by shading parts of the motif below. Use normal square
lattice paper to record your results.
Four bags contain a large number of 1s, 3s, 5s and 7s. Pick any ten numbers from the bags above so that their total is 37.
How many different symmetrical shapes can you make by shading triangles or squares?
Polygons drawn on square dotty paper have dots on their perimeter
(p) and often internal (i) ones as well. Find a relationship
between p, i and the area of the polygons.
Can you cross each of the seven bridges that join the north and south of the river to the two islands, once and once only, without retracing your steps?
Use the numbers in the box below to make the base of a top-heavy
pyramid whose top number is 200.
A cinema has 100 seats. Show how it is possible to sell exactly 100 tickets and take exactly £100 if the prices are £10 for adults, 50p for pensioners and 10p for children.
Just four procedures were used to produce a design. How was it
done? Can you be systematic and elegant so that someone can follow
Caroline and James pick sets of five numbers. Charlie chooses three of them that add together to make a multiple of three. Can they stop him?
The country Sixtania prints postage stamps with only three values 6 lucres, 10 lucres and 15 lucres (where the currency is in lucres).Which values cannot be made up with combinations of these postage. . . .
How many ways can the terms in an ordered list be combined by
repeating a single binary operation. Show that for 4 terms there
are 5 cases and find the number of cases for 5 terms and 6 terms.
Find all real solutions of the equation (x^2-7x+11)^(x^2-11x+30) = 1.
Prove that you cannot form a Magic W with a total of 12 or less or
with a with a total of 18 or more.