Tables, charts & diagrams

Two groups of people, Group A and Group B, took part in Adam’s survey.

Adam asked each person this question: “From the colours Red, Blue and Green, which is your favourite colour?” There are 92 people in Group A. The results for Group A are shown in the pie chart below.

The results for Group B are shown in the pictogram below.

Adam chose one person at random from all the people in both groups.

What is the probability that this person chose Green?

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

Two groups of people, Group A and Group B, took part in Adam’s survey. Adam asked each person this question: “From the colours Red, Blue and Green, which is your favourite colour?” There are 92 people in Group A. The results for Group A are shown in the pie chart below.

The results for Group B are shown in the pictogram below.

Adam chose one person at random from all the people in both groups.

What is the probability that this person chose Green?

In a game, each competitor will have 20 attempts at throwing a ball into a bucket.

They will get 1 point for every ball that lands in the bucket.

Sioned wants to keep a record of the total points for each competitor. She decides to show the results in a table with the total points recorded in groups of equal width.

She starts to draw a table using five groups, as shown below.

Explain why these groups will not be suitable.

Sioned considers using the table shown below. She decides that it is suitable for recording all the total points in groups of equal width

Fill in the two missing numbers in the top row.

Finally, Sioned decides to use the groups shown in the table below. The results for the first 100 competitors are shown in the table.

One of these 100 competitors is chosen at random.

What is the probability that this competitor scored 6, 7 or 8 points?

Explain why the following statement may be incorrect.

The probability that this competitor scored 19 points is.

The employees of a company belong to one of three departments: Management (M), Sales (S) or Distribution (D).

The diagram below is a sketch of a pie chart. The diagram shows the proportion of employees working in each of these departments.

An employee is chosen at random. Calculate the probability that this employee works in the Distribution department.

Give your answer as a decimal.

In a game, each competitor will have 20 attempts at throwing a ball into a bucket.

They will get 1 point for every ball that lands in the bucket.

Sioned wants to keep a record of the total points for each competitor. She decides to show the results in a table with the total points recorded in groups of equal width.

She starts to draw a table using five groups, as shown below.

Explain why these groups will not be suitable.

Sioned considers using the table shown below. She decides that it is suitable for recording all the total points in groups of equal width

Fill in the two missing numbers in the top row.

Finally, Sioned decides to use the groups shown in the table below. The results for the first 100 competitors are shown in the table.

One of these 100 competitors is chosen at random.

What is the probability that this competitor scored 6, 7 or 8 points?

Explain why the following statement may be incorrect.

The probability that this competitor scored 19 points is.

The employees of a company belong to one of three departments: Management (M), Sales (S) or Distribution (D).

The diagram below is a sketch of a pie chart. The diagram shows the proportion of employees working in each of these departments.

An employee is chosen at random. Calculate the probability that this employee works in the Distribution department.

Give your answer as a decimal.

200 pupils at a school were choosing lunch. Each pupil could choose peas, carrots or sweetcorn as their vegetable. Pupils could choose only one vegetable. The table below shows the probability that a randomly selected pupil chose peas, carrots or sweetcorn.

On the grid below, draw a bar chart to show the number of pupils who chose each vegetable.

A box contains different-coloured balls. Some are red, some are blue and the others are green.

The bar chart shows how many balls of each colour are in the box.

Draw an accurate pie chart to compare the number of coloured balls in the box.

Part of the pie chart has been completed for you.

The letters A, B, C and D describe four different events.

Using the letters A, B, C and D, list the events in the order of how likely they are to happen.

Start with the least likely and end with the most likely.

A car passes through four places in the following order: Aber, Berw, Ceiro and Dinas.

The car passes through Aber, Berw and Ceiro at the times shown in the table below.

The time taken to travel from Aber to Berw is twice the time taken to travel from Ceiro to Dinas.

At what time does the car pass through Dinas?

You must show all your working.

The 22 pupils in a class were asked, “What is your favourite pet?” The pets chosen by the pupils were dog, cat, rabbit and hamster. Some of the results are shown in the bar chart below.

9 pupils in the class chose either rabbit or hamster. The modal pet is rabbit.

Complete the bar chart by drawing the two missing bars.

Frequency

One of these pupils is chosen at random.

What is the probability that this pupil’s favourite pet is a cat?

Laura puts 90 counters in a bag.

Each counter is red or blue or yellow.

Laura wants to draw a pie chart to show the number of counters of each colour. The table below shows some of the information that she needs.

Complete the table.

You must show all your working.

Complete the pie chart to show the results.

Laura chooses a counter at random from the bag.

Calculate the probability that this counter is either red or blue.

Laura puts 90 counters in a bag.

Each counter is red or blue or yellow.

Laura wants to draw a pie chart to show the number of counters of each colour. The table below shows some of the information that she needs.

Complete the table.

You must show all your working.

Complete the pie chart to show the results.

Laura chooses a counter at random from the bag.

Calculate the probability that this counter is either red or blue.

The children in year 5 and year 6 in a primary school took part in a survey.

The children were asked, “How many pets do you have?” The results are shown in the pie chart and bar chart below. No child in either year had more than 5 pets.

There are 36 children in year 5.

One child is chosen at random from all the children in year 5 and year 6.

What is the probability that this child has no more than 1 pet?

The children in year 5 and year 6 in a primary school took part in a survey.

The children were asked, “How many pets do you have?” The results are shown in the pie chart and bar chart below. No child in either year had more than 5 pets.

There are 36 children in year 5.

One child is chosen at random from all the children in year 5 and year 6.

What is the probability that this child has no more than 1 pet?

Thirty numbers are recorded in the grouped frequency table below.

It is decided that the same thirty numbers should be recorded in a table with larger group widths.

This new table is shown below, but only one frequency has been given.

What is the smallest possible frequency of the 1 to 30 group?

What is the greatest possible frequency of the 31 to 60 group?

Thirty numbers are recorded in the grouped frequency table below.

It is decided that the same thirty numbers should be recorded in a table with larger group widths.

This new table is shown below, but only one frequency has been given.

What is the smallest possible frequency of the 1 to 30 group?

What is the greatest possible frequency of the 31 to 60 group?

A company has two sites.

One is in North Wales and the other is in South Wales.

The pie charts below show the distribution of its 96 part-time staff and its 150 full-time staff.

A person is chosen at random from the company’s 246 staff members.

What is the probability that this person works at the site in North Wales?

A company has two sites.

One is in North Wales and the other is in South Wales.

The pie charts below show the distribution of its 96 part-time staff and its 150 full-time staff.

A person is chosen at random from the company’s 246 staff members.

What is the probability that this person works at the site in North Wales?

300 students were asked if they would like to change their school’s dinner menu.

The pie chart below shows how they answered.

Complete the table below to show the number of students who gave each answer.

300 students were asked if they would like to change their school’s dinner menu.

The pie chart below shows how they answered.

Complete the table below to show the number of students who gave each answer.

Express 60 out of 300 as a percentage.

Some people were asked a question.

40% of the people answered ‘Yes’. A sketch of a pie chart showing this information is shown below.

Calculate the size of angle x so that the pie chart can be drawn accurately.

The pie chart below shows the favourite sport of 60 people.

Which is the modal sport?

One person is chosen at random.

What is the probability that this person said swimming is their favourite sport?

How many people said tennis is their favourite sport?

Twenty-five balls have numbers printed on them.

Some of the balls are coloured yellow (Y), the others are coloured blue (B). The list below shows both the colour of each ball and the number printed on it.

Y 76 Y 217
B 54 B 126
Y 21 Y 438
Y 32 B 561
B 194
Y 69 B 37 B 518
Y 94 Y 157
Y 208 Y 382
B 56 B 234
Y 72 B 84 Y 68 Y 271
Y 53 B 100
Y 321

Complete the frequency table.

How can you use your table to check that all the balls have been counted?

The 25 balls are placed in a box. One ball is chosen at random.

What is the probability that it is a yellow ball numbered less than 100?

Twenty-five balls have numbers printed on them.

Some of the balls are coloured yellow (Y), the others are coloured blue (B). The list below shows both the colour of each ball and the number printed on it.

Y 76 Y 217
B 54 B 126
Y 21 Y 438
Y 32 B 561
B 194
Y 69 B 37 B 518
Y 94 Y 157
Y 208 Y 382
B 56 B 234
Y 72 B 84 Y 68 Y 271
Y 53 B 100
Y 321

Complete the frequency table.

How can you use your table to check that all the balls have been counted?

The 25 balls are placed in a box. One ball is chosen at random.

What is the probability that it is a yellow ball numbered less than 100?

A company has 3 sites based in Wales.

One is in Carno, one is in Holyhead and one is in Porth.

The pie charts below show the distribution of its 128 female staff and 72 male staff.

A person is chosen at random from the company’s 200 staff members.

What is the probability that this person works at the Porth site?

A company has 3 sites based in Wales.

One is in Carno, one is in Holyhead and one is in Porth.

The pie charts below show the distribution of its 128 female staff and 72 male staff.

A person is chosen at random from the company’s 200 staff members.

What is the probability that this person works at the Porth site?

A fair, six-sided dice is thrown twice.

What is the probability that a 3 is thrown on both occasions?

A company has offices in Llanelli, Caernarfon, Newtown and Ebbw Vale. Its national committee is made up of workers from these four offices. The pie chart below shows what fraction of the committee members come from each

There is an equal number of members from Newtown and Ebbw Vale. A member is chosen at random from this committee to be its chairperson.

What is the probability that the member chosen as chairperson works at either the Llanelli or the Ebbw Vale office?

You must show all your working.

A fair, six-sided dice is thrown twice.

What is the probability that a 3 is thrown on both occasions?

A company has offices in Llanelli, Caernarfon, Newtown and Ebbw Vale. Its national committee is made up of workers from these four offices. The pie chart below shows what fraction of the committee members come from each

There is an equal number of members from Newtown and Ebbw Vale. A member is chosen at random from this committee to be its chairperson.

What is the probability that the member chosen as chairperson works at either the Llanelli or the Ebbw Vale office?

You must show all your working.

Blues, Dragons, Ospreys and Scarlets are four Welsh rugby teams.

Aled asked a group of 170 pupils which of these 4 teams they preferred. He then drew this bar chart to show the data that he had collected.

Aled knew that 50 of these pupils said that they preferred the Blues.

Complete the table below.

A pupil is chosen at random from this group.

What is the probability that this pupil preferred the Blues?

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

The diagram shows part of a rectangle and some identical circles drawn inside the rectangle. The circles touch each other or the sides of the rectangle, as shown in the diagram.

The rectangle measures 30 cm by 1 m. The diameter of every circle is 5 cm.

What is the largest number of circles that will fit into this rectangle? The circles must be arranged in the way shown above.

You must show all your working.