There are 8 sheep in a field as shown here:
1. How many sheep can say that there is at least one other sheep here of the same colour?
2. The farmer takes one sheep from the field at random. What is the probability it is
a) Yellow b) Blue c) Green d) Not red ?
[Give your answers as decimals to two decimal places]
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The wool on each of these sheep is of two different colours.
What is the probability of two sheep being picked at random sharing a wool colour?
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Texas Instruments Nspire Calculator
This handheld device and companion software are designed to generate opportunities for classroom exploration and to promote greater understanding of core concepts in the mathematics and science classroom. TI-Nspire technology has been developed through sound classroom research which shows that "linked multiple representation are crucial in development of conceptual understanding and it is feasible only through use of a technology such as TI-Nspire, which provides simultaneous, dynamically linked representations of graphs, equations, data, and verbal explanations, such that a change in one representation is immediately reflected in the others.
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Apple iPad Pro
The analytics show that more and more people are accessing Transum Mathematics via an iPad as it is so portable and responsive. The iPad has so many other uses in addition to solving Transum's puzzles and challenges and it would make an excellent gift for anyone.
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See the National Curriculum page for links to related online activities and resources.
How accurately could you estimate the number of sheep in a field without counting them? If there were only five sheep in the field your estimate would probably be very accurate but if there were fifty how close do you think your estimate might be? In the first case your estimate would have probably been perfect while in the second case you are unlikely to get it absolutely correct. What is the cut off number, between five and fifty where your estimate starts to become less accurate?
There is a sheep counting activity here on the Transum website. Try your skills and work to improve them. What strategies could you use?
Have you ever tried herding sheep? Not easy is it? The online herding sheep activity is much easier than real life herding and has proved to be a great introduction to loci.
Here is a sheepish mathematical birthday card which can be downloaded and printed.
Finally, for the more advanced, there's a sheep-themed exam style question for you to try.