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Year 7 · Key Stage 3 · free KS3 maths worksheet

Collecting and organising data

12 original questions, 37 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

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The questions

1

20 pupils in a Year 7 class were asked to choose their favourite sport.

F = football, T = tennis, S = swimming, B = basketball, N = netball

F  T  S  F  B  F  T  S  N  B  F  N  T  F  S  B  F  T  N  F

  1. Copy and complete the tally chart and frequency table.
SportTallyFrequency
Football
Tennis
Swimming
Basketball
Netball
  1. Which sport is the most popular?
  2. How many more pupils chose football than tennis?
3 marks
Show answer
a) Football 7, Tennis 4, Swimming 3, Basketball 3, Netball 3 b) football c) 3
2

The pictogram shows the number of cars washed at a garage on Friday and Saturday.

Key: ● represents 6 cars

Work out how many more cars were washed on Saturday than on Friday.

FridaySaturdayKey:= 6 cars
2 marks
Show answer
9
3

A bar chart shows how the students in class 8R travel to school. The table gives the height of each bar.

MethodNumber of students
Walk12
Car18
Bus6
  1. Write down the number of students who travel by bus.
  2. Write down the ratio of the number of students who walk to the number who travel by car. Give your ratio in its simplest form.
WalkCarBus02468101214161820MethodNumber of students
3 marks
Show answer
a) 6 b) 2 : 3
4

The table shows the pets owned by some pupils.

PetDogCatFishRabbitOther
Number of pupils86352

On the grid, draw a bar chart to show this information.

012345678910Number of pupilsDogCatFishRabbitOther
3 marks
Show answer
Bars of height 8, 6, 3, 5 and 2 for Dog, Cat, Fish, Rabbit and Other, all the same width with gaps between them
5

The pictogram shows the number of books borrowed from a school library on four days.

The row for Wednesday is not finished.

  1. How many books were borrowed on Monday?
  2. 14 books were borrowed on Wednesday. Complete the pictogram for Wednesday.
  3. Work out the total number of books borrowed from Monday to Thursday.
  4. How many more books were borrowed on Thursday than on Tuesday?
MondayTuesdayWednesdayThursdayKey:= 4 books
4 marks
Show answer
a) 12 b) 3 and a half circles c) 52 d) 6
6

150 students travel to school by bus, by car or by walking.

The two-way table shows some information.

BusCarWalkTotal
Year 7243080
Year 818
Total55150

Complete the two-way table.

3 marks
Show answer
Year 7 Car) 26 Year 8 Bus) 31 Year 8 Walk) 21 Year 8 Total) 70 Car Total) 44 Walk Total) 51
7

The two-way table shows the after-school club chosen by each pupil in Year 7.

ArtDramaSportTotal
Boys1271837
Girls15131038
Total27202875
  1. How many more girls than boys chose Art?
  2. How many pupils did not choose Sport?
  3. What fraction of the boys chose Sport?
3 marks
Show answer
a) 3 b) 47 c) 18/37
8

Ruby counted the number of people in each of 20 cars passing her school.

Number of people12345
Number of cars76421
  1. On the grid, draw a vertical line chart for this information.
  2. How many cars had more than 2 people in them?
  3. Work out the total number of people in the 20 cars.
12345012345678Number of people in the carNumber of cars
4 marks
Show answer
a) lines of height 7, 6, 4, 2 and 1 b) 7 c) 44
9

Here are the scores of 16 pupils in a test marked out of 40.

23  35  18  29  31  12  27  38  25  9  33  21  28  16  36  24

  1. Copy and complete the grouped frequency table.
ScoreTallyFrequency
1 to 10
11 to 20
21 to 30
31 to 40
  1. Write down the modal class.
  2. On the grid, draw a bar chart for your grouped frequency table.
012345678Frequency1 to 1011 to 2021 to 3031 to 40
4 marks
Show answer
a) 1 to 10: 1, 11 to 20: 3, 21 to 30: 7, 31 to 40: 5 b) 21 to 30 c) bars of height 1, 3, 7 and 5
10

The time series graph shows the number of ice creams a kiosk sold each month from January to June.

  1. Write down the number of ice creams sold in April.
  2. Between which two consecutive months was the biggest increase in sales?
JanFebMarAprMayJun0306090120150180210240270300330360390420MonthNumber of ice creams sold
2 marks
Show answer
a) 260 b) April and May
11

Part of a bus timetable is shown.

Bus ABus BBus C
Bus station07:4008:0508:35
Park Road07:5208:1708:47
Library08:0308:2808:58
School08:1508:4009:10
  1. How long does Bus B take to go from the bus station to school?
  2. Maya gets on at Park Road. She must be at school by 08:30. Which is the latest bus she can catch?
  3. Ollie arrives at the Library stop at 08:10. How long does he have to wait for the next bus?
3 marks
Show answer
a) 35 minutes b) Bus A, leaving Park Road at 07:52 c) 18 minutes
12

The dual bar chart shows the favourite subject of each pupil in classes 7A and 7B.

  1. How many pupils are in class 7A?
  2. In which subject did 7B have exactly 2 more pupils than 7A?
  3. Which subject was the most popular when the two classes are added together? You must show your working.
0123456789101112Number of pupilsMathsEnglishScienceArt7A7B
3 marks
Show answer
a) 30 b) Science c) Science, with 18 pupils

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Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.

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