Posts by: toni
(1) A small boat leaves a harbour H and travels due East (bearing 090 degrees) for 40 km to a marker buoy B and then sails directly towards a lighthouse L which is 24 km from B. It then returns to the harbour H, that is a distance of 57 km on […]
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.
Sheep Talk The first sheep talk word is A. To find the next term in the word sequence, each A is replaced by B […]
This is a classic Chinese Tangram. Each of the people illustrated, and thirteen convex polygons, can be made with the 7 pieces and there are hundreds of other puzzles based on this tangram.
Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces […]
Arrange the 7 tangram pieces to make the shape in the grey picture.
What do you notice about the pattern? Draw the pattern and make a list of what you see in it.
Describe the shapes of the tangram pieces.
What is the same and what is different about the shapes of […]
Six bags of sweets each contain green, white, yellow, orange and red sweets with equal numbers of each colour (5 flavours).
You pick sweets from the bag without looking. If you pick 2 sweets what different combinations of colours can you get?
Twenty-one gas cylinders are to be loaded onto three lorries.
Seven cylinders are full, seven are half-full and seven are empty.
A full cylinder weighs 50kg and an empty cylinder weighs 20kg.
How should they be loaded onto the lorries so that each lorry is carrying the same weight?
Click here to download […]
Suppose you have two 1s, two 2s and two 3s.
Arrange these six digits in a list so that:
between the two 1s there is one digit giving 1?1,
between the two 2s there are two digits giving 2??2,
between the two 3s there are three digits giving 3???3.
[…]
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?
What patterns do you see in them?
Suppose you have to share 9872 gold coins between 8 people.
You give the coins out in thousands until there are less than 8000 left.
Then you give out one hundred at a time until there are less than 800, then […]
BUILD A FRACTION WALL
This wall is 1 unit wide. It shows one unit and two half units.
Click here to download the FRACTION WALL 30-minute lesson instructions and worksheet. Cut out the strips. Rearrange the order of the strips to build a wall with smaller and […]
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