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Solve the problems on this page |
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Send your answers to the address below |
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Join the Mathematical Talent Search |
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Learn new problem-solving skills |
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Expand your career horizons |
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Earn your place in the South African team |
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Problem 1
Two circles intersect with their centres 6cm apart. Circle A has area
50cm2 and Circle B has area 30cm2. Find the
difference in area between the blue and the red shaded regions.
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Problem 2
Towns A, B, C, D, E, F, G and H lie on a straight road. The table
shows the distances between pairs of towns (for example, D is 19km
from G). Fill in the distances in the rest of the table.
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Problem 3
A triangle is made up of ten cents. What is the smallest number of
coins which must be moved to turn the triangle upside-down?
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Problem 4
In the diagram, three squares are shown, all containing the star.
Altogether, how many squares containing the star can be found in the
diagram?
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Problem 5
Twenty postage stamps are joined together as shown. In how many different
ways can three postage stamps, joined together along their edges, be torn
from the sheet?
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Problem 6
Twenty-one gas cylinders are to be loaded onto three trucks. Seven are
full, seven are half-full and seven are empty. A full cylinder weighs 50kg
and an empty cylinder weighs 20kg. How should they be loaded onto the
trucks so that each truck is carrying the same weight?
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The Talent Search is a free course in problem
solving, open to South African pupils from Grade 8 to 12. It aims to develop
the mathematical skills of its participants, and eventually to identify
teams of young mathematicians to represent South Africa at the International
Mathematical Olympiad and Pan African Mathematics Olympiad.
