Year 9 Being curious
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problemHow many miles to go?
How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
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problemUp and across
Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.
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problemCola can
An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?
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problemWhich solids can we make?
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
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problemWhat's it worth?
There are lots of different methods to find out what the shapes are worth - how many can you find?
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problemSemi-regular tessellations
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
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problemMarbles in a box
How many winning lines can you make in a three-dimensional version of noughts and crosses?
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problemWipeout
Can you do a little mathematical detective work to figure out which number has been wiped out?