Posts by: toni
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.
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 […]
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 […]
Kimie and Mdu made sticks from strips of card. Kimie made blue sticks 2 squares long and Mdu made red sticks 3 squares long.
Kimie put her blue sticks end to end in a long line. Mdu put his red sticks end to end in a line underneath Kimie’s.
Can they make […]
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 […]
These ‘trisquares’ are made up of three squares and each has an area of 3 square units.
Can you fit them together to make an enlargement of the shape? What is its area?
Can you fit trisquares together to make enlargements of scale factors 3, 4 and 5? What are their areas?
Is it […]
Can you put the numbers 1 to 8 (each number once and only once) into the circles so that the four calculations are correct?
This problem is adapted from the NRICH task A Square of Numbers with permission of the University of Cambridge. All rights reserved.
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