Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources.

Maths Made Easy © Complete Tuition Ltd 2017

www.CompleteTuition.co.uk

GCSE

AQA, OCR, Edexcel

GCSE Maths Real Life Graphs Answers

Name:

Total Marks: /15

Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources.

Maths Made Easy © Complete Tuition Ltd 2017

Real Life Graphs

1. The table below compares the average amount of water consumed by pupils at a school against the average daily temperature over a seven-day period.

a. Plot a scatter graph using the information in the table. Mark ‘Average temperature’ as the independent variable (x-axis) and ‘Litres of water consumed’ as the dependent variable (y-axis).

(2 Marks)

Average temperature (OC) 15 16 20 22 28 24 20

Litres of water consumed (L) 0.5 0.6 0.8 1 1.4 1.1 1

Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources.

Maths Made Easy © Complete Tuition Ltd 2017

b. Describe the correlation between average temperature and number of litres of water consumed.

There is a positive correlation between average temperature and the number of litres of water consumed. That is, as the temperature increases, the number of litres of water increases.

(1 Mark)

c. Estimate the average temperature when 1.3 litres of water are consumed.

By drawing a line of best fit on our plot, we can see that the temperature is about 26.5 degrees.

(2 Marks)

Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources.

Maths Made Easy © Complete Tuition Ltd 2017

2. The table below compares the number of music singles sales against the number of weeks in the UK top 40 chart.

a. Plot a scatter graph using the information in the table. Mark ‘Weeks in the UK top 40’ as the independent variable (x-axis) and ‘Number of singles sold’ as the dependent variable (y-axis).

(2 Marks)

Number of singles sold

640000 520000 410000 330000 260000 200000 150000 115000 90000

Weeks in the UK top 40

1 3 5 7 9 11 13 15 17

Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources.

Maths Made Easy © Complete Tuition Ltd 2017

a. Describe the relationship between average number of singles sold and weeks in the UK top 40.

There is a negative correlation between the number of weeks in the UK top 40 chart and the number of sales. That is, as the number of weeks in the UK chart increase, the number of sales decrease.

(1 Mark)

b. Use your graph to estimate the number of singles sold for a single which last 8 weeks in the UK top 40.

Estimate: 290,000 sales

(2 Marks )

Visit http://www.mathsmadeeasy.co.uk/ for more fantastic resources.

Maths Made Easy © Complete Tuition Ltd 2017

3. The graph below shows part of Emma’s morning walk. Use the graph to estimate the distance she ran during the 30 seconds shown.

Estimate: 24m

(5 Marks)

Velocity

(m/s)

Time

(s)