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G10 Mathematics 2025-01

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Data was collected and summarised as follows on the heights (in centimetres) of girls in the cross-country running team.

Mean = 174,18 cm

Median = 175 cm

Mode = 176 cm

Range = 191 – 168 = 23 cm

What does the mean tell us?

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Is the following statement True or False:

The description of a dataset is “various people's moods” – this data set is a quantitative dataset.

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Statistics exam scores for 20 students are as follows:

 5; 5; 5; 5; 5; 50; 53; 59; 59; 63; 63; 76; 78; 81; 83; 84; 84; 84; 90; 93

The mode is 5

The median is 56,25

Which is the better measure of central tendency?

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If the height of a prism is doubled, how much will its volume increase by?

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Match the measure of central tendency for an ungrouped dataset with their definition.

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Calculate the capacity of a rectangular water tank with the following internal measurements: 3,7 long; 2,3 wide and 1,8 high. Give your answer in litres. 

Write only the answer WITHOUT the units.

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A tank in the shape of a cube, with interior sides of 2,8 is three-quarters full of water. The water is pumped into a cylindrical tank with internal diameter 3,6. Calculate the height of the water in the second tank when all the water has been pumped into it. Round off your answer to two decimal places.

Answer:  

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A ________________ is a geometric solid that has a polygon as its base and faces that converge at a point called the apex.

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The following solid is a square pyramid. It has a square base and four identical triangular faces.

The side length of the square base is 40 .

The perpendicular height of one triangular face is 60 .

Calculate the surface area of the square pyramid.

Surface Area = .

                                                                            

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Find the area of the shape shown

Note

  • Round off to two decimal places
  • Use a comma as the decimal point
  • Write only the value WITHOUT units

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