O-LevelMathematicsStatistics4024/22 · May/June 2014 · Q712 Marks

The pie chart summarises the results of a local election. [Pie chart with Candidate D, A, C, B sectors and angles 144°, 60° shown]

(a)(i)Candidate B received 1600 votes. Work out the total number of people who voted in the election.[2]
(a)(ii)What fraction of the vote did candidate D receive? Give your answer in its lowest terms.[1]
(a)(iii)How many more votes than candidate A did candidate C receive?[2]
(b)(i)The table summarises the ages of the members of a film club. [Table of Age (a years) and Frequency] Calculate an estimate of the mean age of the members.[3]
(b)(ii)On the grid below, draw a histogram to represent this data. [Grid for histogram][3]
(b)(iii)Find an estimate for the number of members of the film club who are over 50.[1]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.

Mark scheme

Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.

[2] (a)(i) 9600 cao
[2] (a)(i) M1 for (360 / 60) × 1600 ое
[1] (a)(ii) 11/60 cao
[2] (a)(iii) 1440 cao
[2] (a)(iii) M1 for ((144-90) / 360) × their 9600 ое
[3] (b)(i) 40.1
[3] (b)(i) M1 for 12 x 17.5 + 36 × 25 + 45 × 35+33 × 50 + 24 × 70 M1 for division by their (12 + 36 + ... + 24)
[3] (b)(ii) Correct histogram
[3] (b)(ii) B1 for 5 bars correct width and position B1 for at least 3 correct heights k × (2.4, 3.6, 4.5, 1.65, 1.2) B1 for 5 correct heights
[1] (b)(iii) 38 or 39 or 40 or 41

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.