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"Lower Secondary"
Do this as you read…
Think of a number.
Multiply it by 3.
Add 6.
Take away your number.
Divide by 2.
Take away your number.
You have finished with 3.
How does this work?
The wall painting on the house in this photo shows geometric transformations: reflections, rotations and translations. The symmetries of a design are the transformations that leave the pattern looking exactly the same.
Assume that the parts of the design that look the same are identical and that they only appear different because […]
Everyone in the class must shake hands with everyone else and say hello, or bow to each other in a one-to-one greeting. Everyone must join in. How many handshakes (or bows) will there be altogether?
This will be difficult to count, especially if you have a large class. Try the problem in […]
The letters A, B, C, D, E, F, G and H correspond to the numbers from 0 to 7 with no repetitions.
Use the clues that A+C=A and F×D=F to find the values of two letters.
Use the clues B−G=G and B/H=G to find the value of another three letters.
Use the clues A+H=E […]
When I went into a classroom earlier this week a child rushed up to tell me she was 8 that day!
Well, Happy Birthday to everyone who has a birthday today!
Whatever age you are, can you find a variety of questions that give your age as the answer? This […]
How many right-angled triangles of different sizes can you make by joining the dots on the 5 by 5 spotty grid?
Describe your triangles and say what geometrical properties they have.
You can download […]
Paint A is made up from red and white paint in the ratio 1:3 and paint B is made up from red and white paint in the ratio 1:7 . The cans are the same size.
You can mix the paints to produce different shades of pink. Explain how to find the ratio of […]
Cogwheels are very important for gears in machinery such as clocks, bicycles, cars and engines.
Pick two cogwheels. Place them close to each other so that the teeth fit into the gaps between the teeth of the […]
We say that a shape tessellates if we can fit together copies of it to cover a flat surface without leaving any gaps and this covering can be extended in all directions.
The question here is “What can we find out about tessellating different quadrilaterals?”
It’s quite easy to see how […]
Each picture shows 3 similar triangles.
They are called similar because they are the same shape, they have the same angles and the lengths of the edges are in the same ratio. For example in this diagram the edges in each triangle are all in the ratio 2 : 3 : 4 […]
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