The bar chart shows the number of goals scored by five football teams in one season. (a) Write down the teams in order of the number of goals scored, starti...

Assessment: Mathematics 0580 | Paper 3 Mock 01 | Calculator (Core) Subject: Mathematics - 0580

Question 1 Report

The bar chart shows the number of goals scored by five football teams in one season.

(a) Write down the teams in order of the number of goals scored, starting with the most. [2]

(b) Find the difference between the greatest and the least number of goals scored. [1]

Answer Details

(a) On a bar chart the height of each bar, read against the vertical scale, gives the number of goals for that team. Ordering the teams by number of goals therefore means ordering the bars by height, so read every bar against the scale rather than judging by eye alone.

The two tallest bars belong to Denby and Barton, so those two teams come first [M1]

Completing the ranking from the tallest bar down to the shortest, the teams in order starting with the most goals are Denby, Barton, Ashford, Chelford, Elmore [A1]

(b) The difference between the greatest and the least is the reading for the tallest bar minus the reading for the shortest bar, which are the bars for Denby and Elmore. Carrying out that subtraction gives

\[ 22 \]

so the difference is \( 22 \) goals [B1]

Two points decide the marks here. First, check the value of one small square on the vertical axis before reading anything; if each square is worth \( 2 \) goals rather than \( 1 \), every reading doubles. Second, the difference is a subtraction of two readings, not a count of bars or a reading of the gap between the tops of the bars by eye.

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