(COMPLETE ANSWERS) 2023
, Question 1:
The history, views and uses of mathematics in various civilizations across the world Complete the
table below:
In the first column, a picture appears from TL501 (Study Guide) which comes from Learning Unit 1
between pages 6-23
In the second column, questions appear for which you need to read up in the text of that part, to
enable you to answer the questions.
The picture of a 100 chart to the left shows prime numbers highlighted, and composite numbers
crossed out.
1.1 O n which very old object does a table of prime numbers appear?
Ishango Bone is the oldest table of prime numbers.
1.2 In which country of the African continent was this artefact found?
in Zaire
The Greeks discovered three problems in geometry, which other mathematicians proved to be
impossible. Explain what the middle problem means.
1.3 Doubling the cube problem means that…
Construct (Duplicate) a cube with exactly twice the volume of a given cube.
The Egyptians set up this way of multiplication. Read the text underneath the picture. It shows how
one can get the answer to 3 x 6, by doubling the 3 on the left, and by doubling 1 on the right, then
you look to the right to see what makes up 6, which is 2 + 4. Then you look to the left of 2 and find 6
there, and to the left of 4 and you find 12 there. When you add these two, you find 18, which is the
answer to 18.
1.4Which two numbers on the right will you use to calculate 3 x 9?
8+1
1.5Which two numbers will you add as the answer of 3 x 9?
24+3
To the left, the Chinese numbering system is illustrated.
1.6 Write down the number 2772 using these symbols
÷ 3 = 17 𝑟𝑒𝑚𝑎𝑖𝑛𝑑𝑒𝑟 1)
In this picture there are 52 balls, - when 52 is divided in 3, there are 17 rows and 1 ball remained (52
- when 52 is divided in 5, there are 10 rows and 2 balls remained (52 ÷ 5 = 10 𝑟𝑒𝑚𝑎𝑖𝑛𝑑𝑒𝑟 2)
- when 52 is divided in 7, there are 17 rows and 1 ball remained (52 ÷ 7 = 7 𝑟𝑒𝑚𝑎𝑖𝑛𝑑𝑒𝑟 3)
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