Posts by: toni
In the diagram the line OS is perpendicular to the lines OR and PQ.
The line RS is a tangent at P to the circle centre O and radius 1 unit.
Find the lengths OQ, PQ, PS, OS, OR and RP.
If OS and OR lie on the coordinate axes, what are the coordinates […]
It is my birthday and in 15 years’ time, my age will be the square of my age 15 years ago!
Can you work out how old I am?
Now I am thinking “Was there ever a time in my life when I had other special birthdays?”
Could I have said:
“In 3 […]
Which of the graphs represents the function ?
The table below gives equations of the exponential functions shown in the graphs and descriptions of transformations, but jumbled up. Use your knowledge of transformations of functions to match the graphs to their equations and to the descriptions of the transformations.
Cut up a […]
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 […]
This rectangle measures three units by one unit.
The diagram shows three angles a, b and c.
How many ways can you prove that a + b = c?
What other interesting properties can you find?
When this activity was originally published on NRICH, two boys from Madras School in St Andrew’s, Scotland sent […]
Click here to find other similar materials, not in the Mathematical Thinking book series, that provide all you need to run self-help professional development workshops without the need for an expert to lead the sessions. You can use these resources to learn with other teachers in your school or community or […]
The point E is inside the square ABCD and AEB is an equilateral triangle. Find the angles EBC, BEC and ECD and give reasons for your answers.
Click for Teacher-Notes-GEO-PROB.
Click for the GEO PROB poster.
Xoli decorated a strip of 20 squares.
She painted a red dot on the corner on every second square
Then she put a blue cross on every third square.
Then she put a green triangle on every fourth square.
And she put a black square on every fifth square
So there was nothing […]
An aluminium can contains 330 ml of cola.
If the can’s diameter is 6 cm what is the can’s height?
Suppose the can’s height is 10 cm, what does the diameter have to be?
Which of these two cans uses the least aluminium?
If you could choose any diameter which dimensions for the can […]
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 […]
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