topic badge
CanadaON
Grade 8

5.01 Broken lines graphs

Worksheet
Broken line graphs
1

This broken line graph shows the seal population at Rocky Point over a 5 year period:

Seal population at Rocky Point

2013
2014
2015
2016
2017
\text{Year}
25
30
35
40
45
50
55
\text{Number of seals}
a

What year had the lowest seal population?

b

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?

c

What is the highest seal population over the five years?

d

By how much did the seal population increase over the five years?

2

The highest daily temperature in Sommersville over a week is shown in the broken line graph:

a

Which day had the warmest temperature?

b

Which two days had the same temperature?

c

How much warmer was Friday than Monday?

3

The broken line graph shows the number of ice creams sold at certain times of the day:

a

At what time of day were the least amount of ice creams sold?

b

What was the hightest amount of ice creams sold at a particular time?

c

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?

4

Danielle's distance from home throughout the day is recorded on the line graph:

a

How far was Danielle from her house at 2:00 pm?

b

What time did Danielle get back home?

c

What was the furthest distance Danielle was from her house?

d

Find the total time that Danielle was away from her house.

5

The broken line graph below shows the height of a tree over four years:

0.5
1
1.5
2
2.5
3
3.5
4
\text{Years}
1\text{ m}
2\text{ m}
3\text{ m}
4\text{ m}
5\text{ m}
6\text{ m}
7\text{ m}
8\text{ m}
9\text{ m}
10\text{ m}
11\text{ m}
\text{Height (m)}
a

What is the initial height of the tree?

b

What is the height of the tree after 2.5 years?

c

Does the tree grow more in the first or the second year?

d

Find the total growth of the tree during the 4 years.

6

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 broken line graph:

\frac{1}{3}
\frac{2}{3}
1
1\frac{1}{3}
1\frac{2}{3}
2
2\frac{1}{3}
2\frac{2}{3}
3
\text{Lap}
5s
10s
15s
20s
25s
30s
35s
40s
45s
50s
55s
\text{Time}
a

Find the time it took Fred to complete the first section of lap 2.

b

In which section of which lap did Fred have the fastest time?

c

Which two sections took Fred the same time?

d

What was the time difference in Fred completing section 2 of lap 3 compared to section 1 of lap 1?

7

The price of cans of soft drink over a year is shown on the broken line graph:

a

What was the lowest price of the cans of soft drink?

b

In which months was the price the lowest?

c

What was the highest price of the cans of soft drink?

d

In which months was the price the highest?

e

If 250 cans of soft drink are sold each month, calculate the difference in the value of the sales between the month with the highest price and the month with the lowest price.

8

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 broken line graph:

a

Write the scores on the Pareto Hotness Scale in order from most popular to least popular.

b

How many more customers chose the most popular score than the second most popular score?

c

How many more customers chose the second least popular score than the least popular score?

d

How many more customers chose the most popular score than the least popular score?

e

How many customers participated in the survey?

9

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 broken line graph:

a

How much water was in Luigi's bottle at the start of the day?

b

What time was Luigi's bottle first refilled?

c

How much water did Luigi drink in the hour after first refilling his bottle?

d

How many hours were between the first and second time Luigi filled his bottle?

e

How much water did Luigi drink between the two refills?

f

How much did the amount of water in Luigi's bottle change between the start and end of the day?

g

How much did water did Luigi drink in total during the day?

10

The paper corporation records the amount of paper they produce each month over a year in the following broken line graph:

a

In which month did the paper corporation produce the most paper?

b

In which month did the paper corporation produce the least paper?

c

In which period did paper production increase the most?

d

In which period did paper production decrease the most?

e

In which period did paper production not change?

11

Sarah records her speed in metres per second at various points on a 1.5 \text{ km} running track on the following broken line graph:

0.3 \text{ km}
0.6 \text{ km}
0.9 \text{ km}
1.2 \text{ km}
1.5 \text{ km}
\text{Distance}
4.2\text{ m/s}
4.4\text{ m/s}
4.6\text{ m/s}
4.8\text{ m/s}
5\text{ m/s}
\text{Speed}
a

At which three distances did Sarah reach a peak speed?

b

At which two distances did Sarah reach a trough speed (low point)?

c

How far did Sarah travel between the second trough and the third peak?

d

By how much did Sarah's speed increase between the second trough and the third peak?

12

The broken line graph shows the amount of gas (in litres) in a car’s tank during a long drive:

Given that the drive started at 8 am:

a

How much gas was initially in the tank?

b

What happened at 9 am and 1 pm?

c

Calculate the gas used between 1 pm and 5 pm.

d

To the nearest hour, state the time the gas in the tank first hit the 18 \text{ L} mark.

1
2
3
4
5
6
7
8
\text{Hours}
10\text{L}
12\text{L}
14\text{L}
16\text{L}
18\text{L}
20\text{L}
22\text{L}
24\text{L}
26\text{L}
28\text{L}
30\text{L}
\text{Petrol}
13

The broken line graph shows the temperature of a cup of tea in degrees Celsius over a twenty minute time period:

a

State the temperature after the cup of tea has been left to cool for 10 minutes.

b

Does the temperature of the cup of tea drop more in the first 5 minutes or the last 5 minutes?

c

Calculate the overall drop in temperature during the 20 minutes.

5
10
15
20
25
\text{Time (mins)}
30
40
50
60
70
80
90
100
\degree C
14

The graph represents the number of iTunes sales (in millions) and iPod sales (in hundreds of thousands) every 3 months between 2003 and 2007:

a

State the number of iTunes sales for the first quarter of 2006.

b

State the number of iPod sales for the first quarter of 2006.

c

How many more iTunes sales were there than iPod sales in the first quarter of 2007?

d

Calcuate the total number of iTunes sales in 2006.

15

The graph below shows the median house prices per quarter for the four years to September 2013:

a

Describe the underlying trend in median house prices over the four years.

b

Find the range of prices over the four year period to the nearest \$100\,000.

c

List the quarters in which the three highest median house prices occurred.

16

The graph given shows monthly rainfall data for Berlin and London:

a

Which city records the highest monthly rainfall over the year?

b

Calculate the range in monthly rainfall for Berlin between June and October.

c

In the months between March and July (inclusive), find the range in London's monthly rainfall.

d

Which city has the lowest range over the year?

e

In which month did the cities have the smallest difference in rainfall?

17

The table shows the number of different vegetables Susana ate on each day of the week. Construct a broken line graph for this information.

Day\text{Sun}\text{Mon}\text{Tue}\text{Wed}\text{Thu}\text{Fri}\text{Sat}
No. of Vegetables4611325
18

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.

Score0.0 0.10.20.30.40.50.60.70.80.91.0
Number838569109989
19

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 broken line graph that represents this scenario.

20

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 broken line graph that represents this scenario.

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

8.D1.3

Select from among a variety of graphs, including scatter plots, the type of graph best suited to represent various sets of data; display the data in the graphs with proper sources, titles, and labels, and appropriate scales; and justify their choice of graphs.

8.D1.6

Analyse different sets of data presented in various ways, including in scatter plots and in misleading graphs, by asking and answering questions about the data, challenging preconceived notions, and drawing conclusions, then make convincing arguments and informed decisions.

What is Mathspace

About Mathspace