Posts by: toni
Grade 4 MASS
Grade 5 PROPERTIES OF 3D OBJECTS
Grade 6 FRACTIONS
Grade 7 INTEGERS
Grade 8 ALGEBRAIC EQUATIONS
Grade 9 TRANSFORMATION GEOMETRY
Grade 10 PROBABILITY
Grade 11 PROBABILITY APPLIED TO A LOTTERY
Grade 12 DATA ON THE PANDEMIC FEB 2020 TO SEP 2022
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Sheep Talk The first sheep talk word is A. To find the next term in the word sequence, each A is replaced by B and each B is replaced by AB. The rule is: A […]
This is a classic Chinese Tangram. Each of the people illustrated, and many 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 accurately […]
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 […]
Find the prime factors of 2022.
How many ways can you arrange the digits 2, 2, 2 and 0 to get different numbers? What is the sum of those numbers?
You can be a creative mathematician, you can be someone who has your own mathematical ideas. Find your own interesting facts about […]
A bag has a large number of green, white, yellow, orange and red sweets (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?
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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.
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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?
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