PRACTICE PROBLEMS ON LINE GRAPH

Problem 1 :

The graph alongside indicates the distance a homing pigeon travelled from its point of release until it reaches its home.

Use the graph to determine:

a. The total length of the flight

b. The time taken for the pigeon to reach home

c. The time taken to fly the first 200 km

d. The time taken to fly the from the 240 km mark to the 400 km mark

e. The average speed for the first 4 hours

f. The average speed for the whole flight

Solution

Problem 2 :

The graph alongside indicates the distance a cyclist must travel to work. Use the graph to determine:

a. The distance to work

b. The time taken to get to work

c. The distance travelled after

i) 10 minutes    ii) 17 minutes

d. The time taken to travel

i. 6 km

ii.10 km

e. The average speed for the whole distance.

Solution

Problem 3 :

Two rally cars were involved in a handicap time trial. The distance time graph indicates how far each has travelled.

Use the graph to determine:

a. The handicap advantage given to car Y

b. The distance travelled by each car

c. How far both cars had travelled when car X caught car Y

d. How long it took each car to travel 300 km

e. How much faster X completed the time trial than Y

f. The average speed of each car.

Solution

Problem 3 :

This graph shows the height of a balloon at different times.

a) From the graph, find the height of the balloon at 50 seconds.

b) Use the graph to find how long it took the balloon to rise from 30 meters to 60 meters.

Solution

Problem 5 :

This graph shows how the temperature changed in Liam’s room one afternoon

a) Estimate the temperature at 3:15 pm.

b) Estimate the time when the temperature was highest.

c) How much did the temperature change from 2 pm to 2:30 pm? Give your answer to the nearest degree.

Solution

Problem 5 :

150 people take part in a walk. This chart shows the number of people still walking at different times. 150 people take part in a walk. This chart shows

a) Use the chart to estimate the time when two-thirds of the people are still on the walk.

b) What percentage of the people who started are still on the walk at 3pm? What percentage of the people

Solution

Problem 6 :

This graph shows the temperature in a greenhouse.

a) Use the graph to find the time when the temperature was 25°C.

b) Use the graph to find the difference between the temperature at 2pm and the temperature at 4pm.

Solution

Problem 1 :

Below is a line graph that shows how many books are sold in a charity shop over one week.

(a) On which day did the charity shop sell the most books?

(b) On which day did the charity shop sell the least books?

(c) How many books were sold on Tuesday?

Solution

Problem 2 :

Below is a line graph that shows the population of a village.

(a) What was the population in 1980?

(b) In which year was the population 700?

Solution

Problem 3 :

Analyze the line graph, complete the data table and answer the questions.

1) Complete the data table

2) In which month was the average temperature 30 degrees Celsius?

3) In which 2 months was the average temperature the same?

4) In which months was the average temperature higher than 20 degrees?

5) How much did the average temperature increase between January and April?

Solution

Problem 4 :

This graph shows the temperature in °C from 2 am to 3 pm on a cold day

a) How many degrees warmer was it at 3 pm than at 3 am?

b) At 6 pm the temperature was 4 degrees lower than at 3 pm. What was the temperature at 6 pm?

Solution

Problem 5 :

This graph shows the height of a balloon at different times.

a) From the graph, find the height of the balloon at 50 seconds.

b) Use the graph to find how long it took the balloon to rise from 30 meters to 60 meters

Solution

Problem 6 :

This chart shows the population of Cornwall from 1950 to 2010.

a) In which year did the population first reach 400000?

b) How much did the population increase from 1950 to 2000?

c) What was the population of Cornwall in 2010?

Solution

Problem 7 :

This graph shows the outside temperature from 4pm to 10pm on a day in winter.

a) At what time was the temperature –2°C?

b) How many degrees did the temperature drop from 5 pm to 7 pm?

Solution

Problem 8 :

This graph shows how the weight of a baby changed over twelve months.

a) From the graph, what was the weight of the baby at 10 months?

b) How much more did the baby weigh at 5 months than at birth?

Solution

Problem 9 :

This chart gives the cost of showing advertisements on television at different times.

a) An advertisement lasts 25 seconds. Use the graph to estimate how much cheaper it is to show it in the daytime compared with the evening.

An advertisement was shown in the daytime and again in the evening.

The total cost was £1200

b) How long was the advertisement in seconds?

Solution

Problem 10 :

This graph shows the cost of phone calls in the daytime and in the evening.

a) How much does it cost to make a 9 minute call in the daytime?

b) How much more does it cost to make a 6 minute call in the daytime than in the evening?

Solution