This line graph shows the seal population at Rocky Point over a 5 year period:
Seal population at Rocky Point
What year had the lowest seal population?
One year, due to too much fishing in the local area, a shortage of fish caused the seal population to drop. In which year did the seal population drop?
What is the highest seal population over the five years?
By how much did the seal population increase over the five years?
The highest daily temperature in Sommersville over a week is shown in the line graph:
Which day had the warmest temperature?
Which two days had the same temperature?
How much warmer was Friday than Monday?
The line graph shows the number of ice creams sold at certain times of the day:
At what time of day were the least amount of ice creams sold?
What was the hightest amount of ice creams sold at a particular time?
There are two peak hours for ice cream sales, at lunch time (1 pm) and in the evening (6 pm). What was the difference in sales between these two peaks?
Danielle's distance from home throughout the day is recorded on the line graph:
How far was Danielle from her house at 2:00 pm?
What time did Danielle get back home?
What was the furthest distance Danielle was from her house?
Find the total time that Danielle was away from her house.
The line graph below shows the height of a tree over four years:
What is the initial height of the tree?
What is the height of the tree after 2.5 years?
How much did the tree grow by during the first year?
How much did the tree grow by during the second year?
Does the tree grow more in the first or the second year?
Find the total growth of the tree during the 4 years.
Fred ran in an obstacle course race with three laps. Each lap was divided into three equal sections. The time he took to complete each section of each lap in seconds, is represented in the line graph:
Find the time it took Fred to complete the first section of lap 2.
In which section of which lap did Fred have the fastest time?
Which two sections took Fred the same time?
What was the time difference in Fred completing section 2 of lap 3 compared to section 1 of lap 1?
The price of cans of soft drink over a year is shown on the line graph:
What was the lowest price of the cans of soft drink?
In which months was the price the lowest?
What is the value of the sales during the months in part (b) if 250 cans of soft drink are sold each month?
What was the highest price of the cans of soft drink?
In which months was the price the highest?
What is the value of the sales during the months in part (e) if 250 cans of soft drink are sold each month?
Calculate the difference in the value of the sales between the months with the highest price and the months with the lowest price.
Customers at Pareto's Burritos can select the hotness of their burritos on the Pareto Hotness Scale from \dfrac{0}{5} to \dfrac{5}{5}. The hotness that customers chose over a day is shown on the line graph:
Complete the following table:
| Pareto Hotness Scale | \dfrac{0}{5} | \dfrac{1}{5} | \dfrac{2}{5} | \dfrac{3}{5} | \dfrac{4}{5} | \dfrac{5}{5} |
|---|---|---|---|---|---|---|
| Number of customers |
Write the scores from the Pareto Hotness Scale in order from most popular (most number of customers) to least popular (least number of customers).
How many more customers chose the most popular score than the second most popular score?
How many more customers chose the second least popular score than the least popular score?
How many more customers chose the most popular score than the least popular score?
How many customers participated in the survey?
Luigi brings a 1.8 \text{ L} bottle of water to work each day.
He records the amount of water in the bottle at the start of each hour on the line graph:
How much water was in Luigi's bottle at the start of the day?
What time was Luigi's bottle first refilled?
How much water did Luigi drink in the hour after first refilling his bottle?
How many hours were between the first and second time Luigi filled his bottle?
How much water did Luigi drink between the two refills?
How much did the amount of water in Luigi's bottle change between the start and end of the day?
How much did water did Luigi drink in total during the day?
The paper corporation records the amount of paper they produce each month over a year in the following line graph:
In which month did the paper corporation produce the most paper?
In which month did the paper corporation produce the least paper?
In which period did paper production increase the most?
In which period did paper production decrease the most?
In which period did paper production not change?
Sarah records her speed in metres per second at various points on a 1.5 \text{ km} running track on the following line graph:
At which three distances did Sarah reach a peak speed?
At which two distances did Sarah reach a trough speed (low point)?
How far did Sarah travel between the second trough and the third peak?
By how much did Sarah's speed increase between the second trough and the third peak?
The line graph shows the amount of petrol (in litres) in a car’s tank during a long drive:
Given that the drive started at 8 am:
How much petrol was initially in the tank?
What happened at 9 am and 1 pm?
Calculate the petrol used between 1 pm and 5 pm.
To the nearest hour, state the time the petrol in the tank first hit the 18 \text{ L} mark.
The line graph shows the temperature of a cup of tea in degrees Celsius over a twenty minute time period:
State the temperature after the cup of tea has been left to cool for 10 minutes.
Calculate the temperature drop during the first 5 minutes.
Calculate the temperature drop during the last 5 minutes.
Does the temperature of the cup of tea drop more in the first 5 minutes or the last 5 minutes?
Calculate the overall drop in temperature during the 20 minutes.
The graph represents the number of iTunes sales (in millions) and iPod sales (in hundreds of thousands) every 3 months between 2003 and 2007:
State the number of iTunes sales for the first quarter of 2006.
State the number of iPod sales for the first quarter of 2006.
How many more iTunes sales were there than iPod sales in the first quarter of 2006?
The graph below shows the median house prices per quarter for the four years to September 2013:
Describe the underlying trend in median house prices over the four years.
Find the range of prices over the four year period to the nearest \$100\,000.
List the quarters in which the three highest median house prices occurred.
The graph given shows monthly rainfall data for Berlin and London:
What is the highest monthly rainfall for Berlin over the year?
What is the highest monthly rainfall for London over the year?
Which city records the highest monthly rainfall over the year?
Calculate the range in monthly rainfall for Berlin between June and October.
In the months between March and July (inclusive), find the highest monthly rainfall for London.
In the months between March and July (inclusive), find the lowest monthly rainfall for London.
In the months between March and July (inclusive), find the range in London's monthly rainfall.
The table shows the number of different vegetables Susana ate on each day of the week. Construct a line graph for this information.
| Day | \text{Sun} | \text{Mon} | \text{Tue} | \text{Wed} | \text{Thu} | \text{Fri} | \text{Sat} |
|---|---|---|---|---|---|---|---|
| No. of Vegetables | 4 | 6 | 1 | 1 | 3 | 2 | 5 |
Dylan writes a new song and asks his friends to give it a score from 0 to 1. Construct a line graph for this information.
| Score | 0.0 | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | 0.8 | 0.9 | 1.0 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Number | 8 | 3 | 8 | 5 | 6 | 9 | 10 | 9 | 9 | 8 | 9 |
A kitchen sink starts with 20 \text{ L} of water in it. It empties at a rate of 4 \text{ L} per minute and then after 4 minutes the drain gets blocked. No water empties for 2 more minutes while it gets unblocked and then the remaining water is drained out in 1 minute.
Construct a line graph that represents this scenario.
A tank is being filled at a constant rate of 4 \text{ L} per second for 4 minutes. The hose is then turned off for 2 minutes. Finally it is topped up again with water at a rate of 3 \text{ L} per second for 1 minute.
Construct a line graph that represents this scenario.
The given graph shows a breakdown of worldwide box office revenue (in billions of dollars) from 2006-2010:
What was the worldwide box office revenue in 2010?
What was the US and Canadian box office revenue in 2006?
What was the international (non-US and Canadian) box office revenue in 2008?
What was the size of the percentage increase in worldwide box office revenue from 2006 to 2010? Round your answer to the nearest whole percentage.
What was the size of the percentage increase in US and Canadian box office revenue from 2006 to 2010? Round your answer to the nearest whole percentage.
Did the worldwide box office revenue increase or decrease from 2006 to 2010?
Find the percentage change in global recorded musical sales revenue for the period between 2000 and 2010. Round your answer to one decimal place.
(Source: International Federation of the Phonographic Industry)
Explain why you think the box office revenue and music sales revenue have such different trends leading up to 2010.
The following table shows the maximum temperature reached each day of the week in a city:
| \text{Day} | \text{Mon} | \text{Tue} | \text{Wed} | \text{Thu} | \text{Fri} | \text{Sat} | \text{Sun} |
|---|---|---|---|---|---|---|---|
| \text{Temperature} \left(\degree C\right) | 20 | 22 | 24 | 19 | 18 | 17 | 18 |
Plot a time series graph for the data.
Which day had the greatest maximum temperature?
What was the largest drop in temperature?
The following table shows the Australian mean monthly rainfall for 2018:
Plot a time series graph for the data.
Which month has the lowest average rainfall?
Which month had the largest average rainfall?
Find the average rainfall over June, July and August.
Is the average rainfall for January higher or lower than the sum of the average rainfall over the months of June, July and August?
| \text{Month} | \text{Rainfall (mm)} |
|---|---|
| \text{Jan} | 105 |
| \text{Feb} | 75 |
| \text{Mar} | 60 |
| \text{Apr} | 10 |
| \text{May} | 10 |
| \text{Jun} | 20 |
| \text{Jul} | 10 |
| \text{Aug} | 15 |
| \text{Sep} | 5 |
| \text{Oct} | 25 |
| \text{Nov} | 35 |
| \text{Dec} | 40 |
The following table shows the average daily maximum temperature for Perth in 2018:
Plot a time series graph for the data.
Which month had the highest average daily maximum temperature?
What is the highest average daily maximum temperature?
What is the lowest average daily maximum temperature?
What is the difference between the highest and lowest average daily maximum temperature?
| \text{Month} | \text{Temperature } \left(\degree C\right) |
|---|---|
| \text{Jan} | 31 |
| \text{Feb} | 32 |
| \text{Mar} | 30 |
| \text{Apr} | 26 |
| \text{May} | 22 |
| \text{Jun} | 20 |
| \text{Jul} | 18 |
| \text{Aug} | 19 |
| \text{Sep} | 20 |
| \text{Oct} | 23 |
| \text{Nov} | 27 |
| \text{Dec} | 29 |
The following table shows the UV rating for a summer’s day in Sydney:
| Time (in 24 hours) | 0600 | 0800 | 1000 | 1200 | 1400 | 1600 | 1800 |
|---|---|---|---|---|---|---|---|
| UV index | 0 | 0.9 | 6.3 | 10.5 | 11.7 | 7.2 | 2.4 |
Plot a time series graph for the data.
At approximately what time was the UV index the highest?
A very high rating is considered to be 7.2 or above. For approximately which range of hours should a person stay inside to avoid being in the sun above this UV index?
The following table shows the sales in thousands of dollars for a particular company:
| Year | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 |
|---|---|---|---|---|---|---|---|
| Profit (in thousands of dollars) | 55 | 62 | 60 | 58 | 64 | 76 | 83 |
Plot a time series graph for the data.
Describe the underlying trend of the data.
Find the percentage growth in profit from 2010 to 2016. Round your answer to the nearest percent.
The following table shows the sales (in thousands of items) for a particular product of a company:
Plot a time series graph for the data.
What is the general trend in the monthly sales?
What is the percentage decrease in sales from January to December?
| Month | Sales (in thousands) |
|---|---|
| \text{Jan} | 5.0 |
| \text{Feb} | 4.5 |
| \text{Mar} | 3.5 |
| \text{Apr} | 4.0 |
| \text{May} | 2.5 |
| \text{Jun} | 3.0 |
| \text{Jul} | 2.5 |
| \text{Aug} | 2.0 |
| \text{Sep} | 1.5 |
| \text{Oct} | 2.0 |
| \text{Nov} | 1.5 |
| \text{Dec} | 2.0 |
The following table shows the share price for a company's stock at the end of each month:
Plot a time series graph for the data.
Which month saw the sharpest drop in stock price?
What was the loss per share from the January price to the December price, in dollars?
Is the trend in the stock price generally increasing, generally decreasing, or generally centred around a constant?
| \text{Month} | \text{Share price }(\$) |
|---|---|
| \text{Jan} | 8.5 |
| \text{Feb} | 9.35 |
| \text{Mar} | 9.95 |
| \text{Apr} | 9.20 |
| \text{May} | 9.80 |
| \text{Jun} | 8.15 |
| \text{Jul} | 8.25 |
| \text{Aug} | 8.90 |
| \text{Sep} | 8.60 |
| \text{Oct} | 8.40 |
| \text{Nov} | 8.30 |
| \text{Dec} | 8.0 |
The following table shows the number of passengers at a train station over a day:
| Time (in 24 hours) | 0600 | 0800 | 1000 | 1200 | 1400 | 1600 | 1800 | 2000 | 2200 |
|---|---|---|---|---|---|---|---|---|---|
| Number of passengers | 100 | 400 | 180 | 270 | 290 | 90 | 360 | 140 | 80 |
Plot a time series graph for the data.
The morning peak time occurs at the time with the highest number of passengers between 0600 and 1200. Find the number of passengers at the morning peak time.
Find the lowest number of passengers recorded over the day.
How many times more passengers are there at the station during the morning peak time compared to the lowest number of passengers recorded?
The following table shows the average fuel price for each day of the week in the city:
| Day | \text{Mon} | \text{Tue} | \text{Wed} | \text{Thu} | \text{Fri} | \text{Sat} | \text{Sun} |
|---|---|---|---|---|---|---|---|
| Price (in dollars) | 1.40 | 1.42 | 1.38 | 1.40 | 1.46 | 1.42 | 1.44 |
Plot a time series graph for the data.
Which was the best day to buy fuel and what was the average cost on this day?
On which days was the average fuel price \$1.40?
By what percentage did the price change from Monday to Friday?
The local police station records the number of speeding fines issued each quarter. The following table has the data for each quarter from 2012 to 2014:
| Period | Time | Number of speeding fines | Percentage of yearly mean |
|---|---|---|---|
| 1 | \text{March 2012} | 20 | 83.33\% |
| 2 | \text{June 2012} | 28 | 116.67\% |
| 3 | \text{September 2012} | 36 | 150\% |
| 4 | \text{December 2012} | 12 | 50\% |
| 5 | \text{March 2013} | 24 | 81.36\% |
| 6 | \text{June 2013} | 35 | 118.64\% |
| 7 | \text{September 2013} | 42 | 142.37\% |
| 8 | \text{December 2013} | 17 | 57.63\% |
| 9 | \text{March 2014} | 32 | 89.51\% |
| 10 | \text{June 2014} | 39 | 109.09\% |
| 11 | \text{September 2014} | 51 | 142.66\% |
| 12 | \text{December 2014} | 21 | 58.74\% |
Plot a time series graph for the number of fines recorded each quarter against the period.
Describe the underlying trend of the data.
From the beginning of 2012, the number of new houses built in the suburb of Woodford was recorded and figures are released every four months.
The table shows the data from the beginning of 2012 to the end of 2015:
Plot a time series graph for the data.
Which month appears to be the peak season for new houses?
Describe the overall underlying trend of the data.
| Time period | Houses built |
|---|---|
| \text{April }2012 | 103 |
| \text{August }2012 | 92 |
| \text{December }2012 | 105 |
| \text{April }2013 | 99 |
| \text{August }2013 | 88 |
| \text{December }2013 | 104 |
| \text{April }2014 | 93 |
| \text{August }2014 | 85 |
| \text{December }2014 | 103 |
| \text{April }2015 | 93 |
| \text{August }2015 | 83 |
| \text{December } 2015 | 96 |
The graph shows the conversion between temperatures in Celsius and Fahrenheit:
Use the graph to convert 10 \degree \text{C} into Fahrenheit.
0 \degree \text{C} is 32 \degree \text{F}. Hence, for every 1 \degree \text{C} increase, by how much does the Fahrenheit temperature increase?
Would 80 \degree \text{F} be above or below normal body temperature (approximately 37 \degree \text{C})?
Write the rule for conversion between Celsius \left(\text{C}\right) and Fahrenheit \left(\text{F}\right).
Convert 35 \degree \text{C} into Fahrenheit.
Use the given graph to convert the following:
Convert 0 \degree \text{F} to Celcius.
Convert 40 \degree \text{C} to Fahrenheit.
Convert - 20 \degree \text{F} to Celsius.
Convert 60 \degree \text{F} to Celcius.
The graph shows the amount of Euros that can be bought with Australian Dollars on a particular date:
How many Euros can \$20 AUD buy?
How much Australian currency is required to buy 6 Euros?
Calculate the number of Euros that \\ \$1 AUD buys.
Consider the following graph which relates the two units, pounds and kilograms.
Convert 10 \text{ kg} to pounds.
Convert 44 \text{ lb} to kilograms.
A casserole recipe calls for one pound of vegetables. How much is this in kilograms?
Consider the following graph which relates the two units, miles per hour and kilometres per hour.
Convert 50 \text{ mi/h} to \text{km/h}.
Lachlan has a classic car which still has gauges with units in \text{mi/h}. If he drives down a road with a limit of 80 \text{ km/h} , what is the highest speed he can drive in \text{mi/h}?
What fraction must you multiply by to convert \text{km/h} to \text{mi/h}?
Consider the following graph which relates the two units, millilitres and cups.
A recipe calls for 750 \text{ mL} of milk, how many cups is this?
How many millilitres are there in one cup?
If a litre of vegetable stock is required for a recipe, how many cups is this?
Consider the following graph which relates the two units, US dollars and Australian dollars:
An item online costs \$18 USD. Approximately, what is the cost in AUD?
How many USD can be purchased with \$58 AUD?
What is the exchange rate to convert AUD to USD?
Consider the following graph which relates Indonesian rupiah and Australian dollars:
If Holly goes on holiday to Bali and spends 50\,000 IDR per day on food for 4 days, how much AUD would this be in total?
How many rupiahs would \$50 AUD buy?
What is the exchange rate to convert AUD to INR?
Consider the following graph which relates the two units, Kilojoules and Calories.
From the graph, convert 50 \text{ Cal} to kilojoules.
Give your answer to the nearest 100 \text{ kJ}.
From the graph, convert 400 \text{ kJ} to Calories.
Give your answer to the nearest 10 \text{ Cal}.
If two chocolate biscuits are 90 Calories each, approximately how many kilojoules is this?
Give your answer to the nearest 100 \text{ kJ}.
Consider the following graph which relates the two units, litres and gallons.
Convert 10 \text{ gal} to litres.
Convert 60 \text{ L} to gallons.
If a typical small car in the US has a fuel tank that holds 12 gallons, how many litres is this roughly?