This NRICH maths task offers a good way to reinforce number properties at the same time as encouraging pupils to think about likelihood. It offers an opportunity to explore and discuss two types of probability: experimental and theoretical. The simulation generates lots of experimental data quickly, freeing time to focus on predictions,…
This maths problem from NRICH offers the students an opportunity to consolidate what they are expected to know about mean, mode and median whilst also challenging them to work systematically, and justify their reasoning. This problem asks which set of five positive whole numbers have the following properties: Mean = 4 Median…
This NRICH maths activity offers a good opportunity for students to discuss images and find convincing arguments for their solutions in the context of co-ordinates. It can also provide a metaphor for problem solving - when you think you have seen all that is there, look again.
This NRICH maths challenge could prove suitable for students who have learnt how to work out the angles of regular polygons This activity supports the idea that the interior angles of regular polygons are a crucial factor in determining whether the regular polygons will fit together or not. Students are asked to work on paper…
In the context of a game, this NRICH maths problem invites students to identify straight lines and state their equations. Many students can identify some of the lines easily (e.g. horizontal), but there is an incentive to learn about 'harder' lines. Semi-regular Tessellations could provide a suitable challenge to students…
This maths problem from NRICH allows the student to explore the relationships within the temperature scales. As well as developing a better understanding of temperature, this problem presents a number of ways in which it can be solved (trial and improvement, graphically, algebraically) so can offer a useful opportunity for discussing…
GOT IT is an adding game from NRICH for two players. It is in a motivating context in which learners can apply basic addition and subtraction. You can play against the computer or with a friend. Start with the GOT IT target 23. The real challenge here is to find a winning strategy that always works and this involves conjecturing,…
This NRICH maths problem could replace repetitive textbook work on calculating fractions of integers. It offers plenty of practice of these calculations while requiring students to come up with problem-solving strategies. It offers a good context for thinking about factors of numbers.
In this NRICH maths activity a student has been looking at the difference of the squares of pairs of two-digit numbers. She has collected together some answers which she found quite surprising. This problem offers students a chance to discover the identity for the difference of two square numbers. They are expected to work as research…
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