Paper Together: sit a paper in a room with your friends.See how it works
A second set of line graphs and time series questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.
Monthly rainfall (mm) is January 60, February 75, March 55, April 62. By how much did the rainfall fall between February and March?
Answer: 20
The number of visitors (in hundreds) over four days is 12, 18, 15, 20. How many visitors in total, in hundreds?
Answer: 65
The daily sales of a stall over 5 days are 14, 18, 12, 20, 16. What is the mean daily sales?
Answer: 16
The daily sales of a stall over 4 days are 30, 25, 35, 40. What is the mean daily sales?
Answer: 32.5
The number of members rose from 40 to 50 between two years. What was the percentage increase?
Answer: 25%
The readings at 2 pm and 4 pm are 18 and 30. Assuming the line graph is straight between them, estimate the reading at 3 pm.
Answer: 24
A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.
The temperatures at noon on five days are 14, 17, 15, 19, 21 degrees. Work out the mean temperature.
Answer: 17.2
Short one-step questions. Pick an option before you open the answer.
What is a time series?
A set of readings taken at regular times. A set of readings taken at regular times.
Which axis shows time on a line graph?
The horizontal axis. The horizontal axis.
How do you work out a rise between two readings?
Subtract the earlier reading from the later one. Subtract the earlier reading from the later one.
How do you work out a fall between two readings?
Subtract the later reading from the earlier one. Subtract the later reading from the earlier one.
What is a trend?
The overall direction of the data: rising, falling or about the same. The overall direction of the data: rising, falling or about the same.
Where on a line graph is the quantity changing fastest?
Where the line is steepest. Where the line is steepest.
How do you find a mean rate of change?
Divide the total change by the time taken. Divide the total change by the time taken.
What do you check before reading a value from a line graph?
The scale on both axes. The scale on both axes.
How do you draw a line graph?
Plot the points, join them in time order and label both axes. Plot the points, join them in time order and label both axes.
What does a flat section of a line graph show?
The value did not change over that time. The value did not change over that time.
What is a repeating pattern in a time series called?
A seasonal pattern when it repeats each year or each season. A seasonal pattern when it repeats each year or each season.
Why is a prediction beyond the data only an estimate?
Things may change, so the pattern may not continue. Things may change, so the pattern may not continue.
Hourly readings run from 9 am to 12 noon. How many hours is that?
Three hours, not four. Three hours, not four.
Why do you not join the points of a time series in any order?
The points must be joined in time order to show how the value changes. The points must be joined in time order to show how the value changes.
How can you estimate a reading half way between two points on a straight section?
Find the value half way between the two readings. Find the value half way between the two readings.
A graph has a broken axis or starts above zero. What should you do?
Read the scale carefully, because the change may look bigger than it is. Read the scale carefully, because the change may look bigger than it is.
AQA-style and Edexcel-style questions. Yumio is not affiliated with, endorsed by or connected to AQA, Pearson Edexcel or any other exam board.