List

Analysing Others' Reasoning

There are a number of different ways in which you, as the teacher, might use NRICH solutions as part of the lesson itself and these are outlined in our Celebrating Solutions Feature.  

The tasks below have been deliberately designed to integrate the use of learners' work, making them a great context in which to analyse other learners' reasoning.
Sizing them Up
problem
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Sizing them Up

Age
5 to 7
Challenge level
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Can you put these shapes in order of size? Start with the smallest.

Lots of Lollies
problem
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Lots of Lollies

Age
5 to 7
Challenge level
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Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?

Number Round Up
problem
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Number Round Up

Age
5 to 7
Challenge level
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Arrange the numbers 1 to 6 in each set of circles below. The sum of each side of the triangle should equal the number in its centre.
Trebling
problem
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Trebling

Age
7 to 11
Challenge level
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Can you replace the letters with numbers? Is there only one solution in each case?
Forgot the Numbers
problem
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Forgot the Numbers

Age
7 to 11
Challenge level
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On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

Fitted
problem
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Fitted

Age
7 to 11
Challenge level
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Nine squares with side lengths 1, 4, 7, 8, 9, 10, 14, 15, and 18 cm can be fitted together to form a rectangle. What are the dimensions of the rectangle?