Statistics: Line Graphs and Timetables - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

Download PDF Jump to mark scheme (page 5)Statistics: Line Graphs and Timetables revision guide

This topic is chapter 3 of KS2 Maths: Statistics Practice Book.

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Statistics: Pie Charts and the Mean

9.4 Statistics: Line Graphs and Timetables

Calculators not allowed · about 50 minutes

Total Marks

Name: _______________________________ Date: ____ / ____ / ______

Answer ALL questions. Show all your working.

A line graph shows the number of visitors to a school garden at each hour from 9:00 to 3:00. At 9:00 there were 12 visitors, at 10:00 there were 18, at 11:00 there were 25, at 12:00 there were 22, at 1:00 there were 30, at 2:00 there were 28, and at 3:00 there were 20. Use the graph data to answer the question.

Between which two consecutive hours did the number of visitors increase by the greatest amount?

(2)

The timetable for a school trip shows coaches leave at 09:30 and travel time is 1 hour 45 minutes. The group will have a 30 minute picnic after arrival and then visit a museum for 2 hours. At what time will the museum visit finish?

(2)

A line graph shows sales of hot chocolates at a cafe each day: Mon 14, Tue 16, Wed 16, Thu 20, Fri 22. What is the median number of hot chocolates sold?

(2)

A bus leaves Central Station at 07:55 and arrives at Parkside at 08:28. Later the bus leaves Parkside at 17:20 and arrives back at Central Station at 17:58. Which journey took longer and by how many minutes?

(2)

A line graph shows the number of bicycles borrowed from a library each hour: 9:00 3, 10:00 7, 11:00 12, 12:00 12, 13:00 9. A pupil says: "Between 11:00 and 12:00 the number did not change." Explain whether the pupil is correct.

(2)

A train timetable shows local trains leave at 08:15, 09:45, 11:15, 12:45 (journey time 40 minutes) and express trains leave at 08:05, 10:05, 12:05 (journey time 25 minutes). A passenger wants to travel after 09:00 and arrive as early as possible. Which train should they take and why?

(2)

A line graph shows ice-cream sales by hour: 10:00 5, 11:00 8, 12:00 14, 13:00 18, 14:00 16. What is the average (mean) number of ice-creams sold per hour over these five hours? Give your answer to 1 decimal place.

(2)

A ferry timetable shows crossings start at 06:30 and then every 50 minutes until 10:30 inclusive. List all the departure times.

(2)

A line graph records the number of steps a pupil walked each day: Monday 4,200, Tuesday 5,100, Wednesday 4,800, Thursday 5,400, Friday 4,500. Which day is closest to the weekly mean? Show working.

(2)

A line graph shows the number of visitors to three exhibitions each day. On a certain day Exhibition A had 120 visitors, Exhibition B had 95 and Exhibition C had 85. A pupil claims: "Exhibition A had more visitors than B and C combined." Explain whether the pupil is correct.

(2)

The school bus timetable shows departure times from Willow Stop: 08:05, 08:20, 08:35, 08:50, 09:05. A pupil arrives at Willow Stop at 08:27. Which bus will they catch?

(2)

A line graph records the temperature at 6 times during a day: 6:00 9 degrees, 9:00 12 degrees, 12:00 18 degrees, 15:00 20 degrees, 18:00 15 degrees, 21:00 10 degrees. What is the range of temperatures shown on the graph?

(2)

A train timetable shows the following arrival times at Oakley: 10:12, 11:00, 11:48, 12:36. How many minutes are there between the 11:00 and the 11:48 arrival?

(2)

A line graph shows the number of apples picked from an orchard each day for a week: Mon 24, Tue 30, Wed 27, Thu 33, Fri 30, Sat 18, Sun 15. On which day was the number picked equal to the mode of the week?

(2)

A ferry timetable shows departures from Harbour A to Harbour B at 09:10, 11:40, 14:10 and 16:40. The crossing takes 55 minutes. If a passenger catches the 11:40 ferry, at what time will they arrive at Harbour B?

(2)

A line graph shows the number of pages pupils read each day: Monday 15, Tuesday 18, Wednesday 27, Thursday 24, Friday 21. How many more pages were read on Wednesday than on Monday?

(2)

A school timetable shows lunchtime is from 12:15 to 13:00. How many minutes long is lunchtime?

(2)

A line graph shows the height of water in a tank measured every hour: 8:00 40 cm, 9:00 55 cm, 10:00 70 cm, 11:00 65 cm, 12:00 80 cm. Between which two hours did the water fall?

(2)

Mark scheme · 9.4 Statistics: Line Graphs and Timetables

Question 1

B1 Identifies the correct hour interval 12:00 to 1:00
B1 Gives reason or difference 8 cao
Answer: 12:00 to 1:00 (increase of 8)

Question 2

M1 Adds travel 1:45 to 09:30 to get arrival 11:15 and adds picnic 0:30 and museum 2:00 correctly
B1 13:45 cao
Answer: 13:45

Question 3

M1 Orders the data and finds the middle value
B1 16 cao
Answer: 16

Question 4

M1 Finds both journey times: 33 minutes and 38 minutes
B1 States return journey longer by 5 minutes cao
Answer: Return journey by 5 minutes

Question 5

M1 Notes numbers at 11:00 and 12:00 are both 12 or states same value
B1 Concludes pupil is correct with clear justification cao
Answer: The pupil is correct because the graph shows 12 at both 11:00 and 12:00, so the number did not change.

Question 6

M1 Identifies next departures after 09:00: 09:45 local and 10:05 express, and works out arrival times: 09:45 + 40 min = 10:25 local, 10:05 + 25 min = 10:30 express
B1 Chooses 09:45 local train because it arrives at 10:25, earlier than the express arriving at 10:30 cao
Answer: Take the 09:45 local train. It arrives at 10:25, five minutes before the 10:05 express (which takes 25 minutes and arrives at 10:30).

Question 7

M1 Adds values correctly to get total 61 and divides by 5
B1 12.2 cao
Answer: 12.2

Question 8

M1 Generates sequence adding 50 minutes repeatedly
B1 Gives list 06:30, 07:20, 08:10, 09:00, 09:50 (the next departure, 10:40, would exceed 10:30)
Answer: 06:30, 07:20, 08:10, 09:00, 09:50

Question 9

M1 Calculates mean: total 24,000 ÷ 5 = 4,800
B1 Chooses Wednesday 4,800 as closest (difference 0) cao
Answer: Wednesday (4,800)

Question 10

M1 Adds B and C correctly: 95 + 85 = 180
B1 Concludes pupil is incorrect because 120 < 180 cao
Answer: The pupil is incorrect because B and C together have 95 + 85 = 180 visitors, which is more than A's 120.

Question 11

B1 Identifies the 08:35 bus as the correct bus
B1 Clear statement 08:35 cao
Answer: 08:35

Question 12

M1 Finds highest and lowest temperatures or calculates 20 - 9
B1 11 cao
Answer: 11 degrees Celsius

Question 13

M1 Calculates time difference 48 - 00 or 11:48 - 11:00
B1 48 cao
Answer: 48 minutes

Question 14

M1 Identifies the modal value 30
B1 Gives a day with 30, Tue or Fri cao
Answer: Tuesday or Friday

Question 15

M1 Adds 55 minutes correctly to 11:40
B1 12:35 cao
Answer: 12:35

Question 16

M1 Subtracts 15 from 27 or shows difference
B1 12 cao
Answer: 12 pages

Question 17

M1 Subtracts times 13:00 - 12:15 or 60 - 15
B1 45 cao
Answer: 45 minutes

Question 18

B1 Identifies 10:00 to 11:00 as the interval where height fell
B1 States 10:00 to 11:00 cao
Answer: 10:00 to 11:00

Statistics: Line Graphs and Timetables - Worksheets, Questions and Revision

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9.4 Statistics: Line Graphs and Timetables

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