The Mathematical Gazette: Volume 50 -

Some Track-Laying Problems
M. D. Fox
Published online by Cambridge University Press:

03 November 2016, pp. 37-39
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The pipe-laying problem of E. Kosko (The Mathematical Gazette, No. 364) suggests some rather similar track-laying problems which can be solved geometrically. The pipe-laying problem is a particular case of one of these and can be solved by a simple construction which is purely geometrical.

The Application of Non-Unique Solutions of one Integral Equation to the Solution of Another
P.R. Vein
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03 November 2016, pp. 147-149
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Cliques
C. A. Parrack
Published online by Cambridge University Press:

03 November 2016, pp. 43-46
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The clique originated from a search for a counter-example for the group, and this may be thought a sufficient justification for its study However, as well as its behaviour frequently being similar to that of the group, it has a number of properties which are peculiarly its own.

Oxen Grazing in a Field
A. I. Ostrovsky
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03 November 2016, pp. 46-48
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Twelve oxen were put to graze in a field of 3⅓ acres. After four weeks they had eaten all the grass in the field, including the grass which grew during the four weeks. At the same time 21 oxen were put out to grass in a field of 10 acres; they grazed it bare in 9 weeks. How many oxen would a field of 24 acres support for 18 weeks, if they were put in it at the same time? (See Isaac Newton’s Arithmetica Universalis.

The Mathematical Gazette