NSC Mathematical Literacy Representing, interpreting and analysing data: 1.1 Definitions of some mathemat

Question

1.1 Definitions of some mathematical concepts are listed in TABLE 1 below.

TABLE 1: DEFINITIONS OF SOME MATHEMATICAL CONCEPTS
LETTER  DEFINITIONS
A  Middle value in an ordered data set
B  Difference between the maximum and minimum values in a data set
C  Distance from the centre of a circle to the circumference of the circle
D  Positive difference between the income and the expenditure amounts
E  Maximum distance between two points on the circumference of a circle
F  Amount received from the sale of goods or services
G  Sum of the data values divided by the number of data values

Use TABLE 1 to denote the definition for EACH of the following concepts. 
NOTE: Write down only the letter (A–G) of the correct definition.

1.1.1 Profit
1.1.2 Mean
1.1.3 Length of the radius

1.2 A gold coin shop buys and sells gold Krugerrand coins. The shop bought a one-ounce gold coin for R14 960 at 10:15 and sold it for R18 700 at 15 hours and 50 minutes later.

1.2.1 Calculate the profit that the shop made on the one-ounce gold coin.

1.2.2 Write down the exact time when the coin was sold.

1.2.3 The diameter of a one-ounce gold coin is 32.8 mm. A gold coin is placed in the centre of a square box of side length 71.8 mm, as shown below.

PHOTOGRAPH OF GOLD COIN IN SQUARE BOX

DIAGRAM

box

coin

71.8 mm

(a) Calculate the length of the radius of the coin.
(b) Determine the shortest distance (D) between the edge of the coin and the side of the square box.

1.3 Naomi buys a 2 ℓ bottle of concentrated juice.

She adds water to make 14 ℓ of diluted juice at a total cost of R44.95.

She wants to serve the diluted juice in glasses.
Each glass will contain 0.175 ℓ of diluted juice.

1.3.1 Calculate the cost per litre of the diluted juice.

1.3.2 Determine, in simplified form, the ratio of:

volume of diluted juice : volume of water

1.3.3 Determine the exact number of glasses of diluted juice that can be served.

1.4 Use TABLE 2 above to answer the questions that follow.

TABLE 2: MEAN MONTHLY RAINFALL AND MEAN NUMBER OF RAINY DAYS PER MONTH FOR KIMBERLEY AND DURBAN
  MEAN MONTHLY        MEAN NUMBER
  RAINFALL (mm)      RAINY DAYS
MONTH   DURBAN    KIMBERLEY   DURBAN    KIMBERLEY
January   126             93                      10               7
February  142            81                      11               5
March     120             88                      10               6
April       95               70                      9                4
May       39              36                      6                3
June      35              29                      6                4
July       63              43                      8                4
August    64              60                      6                7
September 107              51                      12               5
October   117              81                      9                6
November  120             77                      10               2
December  86              65                      11               6

Use TABLE 2 above to answer the questions that follow.

1.4.1 Arrange the mean monthly rainfall for Durban in ascending order.

1.4.2 In which month does Kimberley receive the lowest mean monthly rainfall?

1.4.3 Write down the modal number of rainy days for the first six months of the year for Durban.

1.4.4 In which month does Kimberley have a higher mean monthly rainfall than Durban?

1.4.5 During which month(s) is the mean monthly rainfall in Durban the same?

1.1 Definitions of some mathematical concepts are listed in TABLE 1 below - NSC Mathematical Literacy - Question 1 - 2017 - Paper 1

Worked Solution & Example Answer:1.1 Definitions of some mathematical concepts are listed in TABLE 1 below - NSC Mathematical Literacy - Question 1 - 2017 - Paper 1

Profit

Mean

Length of the radius

Calculate the profit that the shop made on the one-ounce gold coin.

Write down the exact time when the coin was sold.

Calculate the length of the radius of the coin.

Determine the shortest distance (D) between the edge of the coin and the side of the square box.

Calculate the cost per litre of the diluted juice.

Determine, in simplified form, the ratio of: volume of diluted juice : volume of water

Determine the exact number of glasses of diluted juice that can be served.

Arrange the mean monthly rainfall for Durban in ascending order.

In which month does Kimberley receive the lowest mean monthly rainfall?

Write down the modal number of rainy days for the first six months of the year for Durban.

In which month does Kimberley have a higher mean monthly rainfall than Durban?

During which month(s) is the mean monthly rainfall in Durban the same?

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