Tables, charts and diagrams

Samina works in a shop that sells pens. The table shows the number of blue pens and the number of red pens Samina sold in each of three months.

Work out the total number of blue pens and red pens Samina sold in June.

Samina says, “In these three months, in total, I sold more than twice as many blue pens as red pens.”

Is Samina correct? You must show how you get your answer.

There are only 10p coins, 20p coins, 50p coins and £1 coins in a bag. The bar chart shows information about the number of 10p coins and the number of 20p coins in the bag.

There are eight 50p coins in the bag. There are three £1 coins in the bag.

Use this information to complete the bar chart.

Show that the total amount of money in the bag is less than £10

A factory makes mountain bikes and road bikes. Each bike has disc brakes or rim brakes or caliper brakes. In June the factory makes a total of 240 bikes. 102 of the bikes are mountain bikes. 75 of the 110 bikes with disc brakes are mountain bikes. 105 bikes have rim brakes. 20 of the mountain bikes have caliper brakes. Use this information to complete the two-way table.

120 students in Year 10 each choose one language to study. The table below shows information about their choices.

Complete the accurate pie chart to show this information.

In another pie chart the number of students in Year 11 studying French is represented by an angle of 150° Navi says, “ This means that French was chosen by more students in Year 11 than by students in Year 10”

Is Navi correct? Explain why you think this.

Milly collects stickers of sports players. She only has stickers of tennis players, football players and cricket players. The incomplete bar chart shows some information about the number of stickers Milly has.

Milly has a total of 40 stickers.

Complete the bar chart.

What fraction of the 40 stickers are stickers of tennis players? Give your fraction in its simplest form.

Ewan also collects stickers. He only has large stickers and small stickers. For Ewan’s stickers, the number of large stickers: the number of small stickers = 5: 4

Write down the fraction of Ewan’s stickers that are large stickers.

Write the ratio 5: 4 in the form n: 1

The table shows the number of hours that Lena and Pavel worked on each of four days last week.

On the grid, draw a suitable diagram or chart for this information.

Ben sells houses. The pictogram shows information about the number of houses Ben sold in each of the first three months of last year.

Write down the number of houses Ben sold in January.

In April, Ben sold 11 houses.

Show this information on the pictogram. Ben sold a total of 60 houses in the first five months of last year.

Work out the number of houses Ben sold in May.

Julie asks some students how they travel to school. The chart shows her results.

Write down which method of travel is the mode.

More students walk to school than cycle to school.

How many more?

James asks students in Year 10 and Year 11 to name their favourite language from French or German or Spanish. The two‑way table shows information about his results.

Complete the two‑way table.

The table gives information about the drinks people ordered in a cafe.

Draw an accurate pie chart for this information.

Miss Bailey asked 24 students where they each wanted to go on a school trip. Here are the results. museum castle castle farm farm castle farm farm castle farm castle castle castle farm castle museum museum farm castle museum museum museum castle castle

Complete the frequency table.

Write down the place that is the mode.

Draw a bar chart to show the results.

The pictogram shows information about the number of chocolate cakes, vanilla cakes and lemon cakes sold by Year 7 at a school fair.

24 banana cakes were sold by Year 7

Use this information to complete the pictogram. At the fair, Year 8 sold a total of 150 cakes.

Which Year sold most cakes at the fair, Year 7 or Year 8? You must show how you get your answer.

The table shows information about the weights of the people in a hotel lift.

Show that the total weight of the people in the lift is less than 1200 kg.

The table shows the number of books read by four people in one month.

Work out the median number of books.

Find the range.

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

Some students took a guitar exam. The pie chart shows information about the grades the students got.

Write down the modal grade.

7 students got distinction.

Work out the total number of students who took the guitar exam.

The composite bar chart shows information about the number of people living in a village.

Write down the number of men living in the village in the year 2000

Find the number of children living in the village in the year 2010

For the people living in the village in the year 2020

find the ratio of the number of children to the total number of men and women.

The table shows information about the number of students who arrived late at school each day one week.

On the grid, draw a bar chart for this information.

The graph shows information about the average monthly temperature, in °C, in Amman.

For how many months was the average monthly temperature greater than 16°C?

Write down the two months that had the same average monthly temperature.

There are three different types of potato in a box. The table gives the number of each type of potato.

Salim draws this pie chart for the information in the table.

Write down two different things that are wrong or misleading with this pie chart.

200 students chose one language to study. Each student chose one language from French or Spanish or German. Of the 200 students, 90 are boys and the rest of the students are girls 70 chose Spanish 60 of the 104 students who chose French are boys 18 girls chose German. Work out how many boys chose Spanish.

3 200 students chose one language to study. Each student chose one language from French or Spanish or German. Of the 200 students, 90 are boys and the rest of the students are girls 70 chose Spanish 60 of the 104 students who chose French are boys 18 girls chose German. Work out how many boys chose Spanish.

The pictogram gives information about the number of hours of sunshine on a Saturday and on a Sunday.

Work out the number of hours of sunshine on Saturday.

The bar chart shows information about the total rainfall each month for four months in a city.

In May, the total rainfall was 35 cm. In June, the total rainfall was 20 cm.

Use this information to complete the bar chart. Rupa says, “In February there was 15.5 cm of rainfall because the bar is half a square above 15”

Explain why Rupa is incorrect.

The graph shows information about the number of houses sold by an estate agent in each of six months last year.

How many houses were sold by the estate agent in February?

For this estate agent, write down the ratio of the number of houses sold in January to the number of houses sold in June.

Sophie works in a bed shop. During the last three months she sold 198 beds. 59 beds were sold without a mattress. 45 beds were double beds. 17 of the single beds were sold without a mattress. 67 of the 83 king size beds were sold with a mattress. Use this information to complete the two-way table.

The table shows information about the number of social media accounts used by each of 300 students.

Work out the total number of social media accounts used by these students.

Find the median number of social media accounts used by these students.

Grace recorded the eye colour of each of the students in her class. The frequency table below shows her results.

Grace then drew the bar chart below for this information.

Write down one thing that is wrong with this bar chart.

The pictogram shows information about the number of video games sold in a shop on Monday, on Tuesday and on Wednesday.

How many video games were sold on Monday?

More video games were sold on Tuesday than on Wednesday.

How many more?

On Thursday and Friday, a total of 32 video games were sold in the shop. of these 32 video games were sold in the shop on Thursday.

Complete the pictogram for Thursday and Friday.

8 5 students throw a dice. They each throw the dice the same number of times. The diagram gives information about the number of times the dice lands on each number.

Work out how many times each student throws the dice.

The pie chart gives information about the colour of each car in a car park.

There are 135 black cars in the car park.

Work out the number of white cars in the car park.

There are 50 grey cars in the car park. A car in the car park is picked at random.

Find the probability that this car is grey.

The incomplete table gives some information about the lengths of the planks of wood in Ben’s workshop.

The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben’s workshop.

Vadim has 56 clocks. The clocks are only red, only blue or only black. 32 of the clocks are plastic. 5 of the 14 blue clocks are plastic. 8 of the 12 red clocks are not plastic. Use this information to complete the two-way table.

The incomplete pictogram shows information about the number of eggs sold from a farm shop on Monday.

On Monday the shop sold 18 eggs. On Tuesday the shop sold 24 eggs. On Wednesday the shop sold 27 eggs. Use this information to complete the pictogram and the key.

Ishmael asked 30 students at college to tell him the sport they each like the best from cricket or tennis or swimming. 11 of the 20 female students said swimming. 2 of the male students said tennis. 5 students said cricket. The number of male students who said cricket was the same as the number of male students who said swimming. Complete the two‑way table.

Farhad, George and Tom each did a test. Here are their marks for the test.

George drew this bar chart to show the marks they got. The bar chart is not fully correct.

Write down two things that are wrong with George’s bar chart.

14The table gives information about the number of goals scored by each of three teams.

Draw an accurate pie chart for this information.

The graph shows some information about car production in the UK over eight years.

For how many of these years was car production more than 1.4 million?

In which two years was car production the same?

The pictogram shows information about the number of pictures sold in an art shop in each of January, February and March.

Write down the number of pictures sold in January.

12 pictures were sold in April.

Show this information on the pictogram.

What was the total number of pictures sold in these four months?

The pie charts show information about the favourite animal of each student at school A and of each student at school B.

There are 480 students at school A. There are 760 students at school B.

Henry says,

“The same number of students at each school have tigers as their favourite animal.”

Is Henry correct? You must show how you get your answer.

The table shows some information about the weights of 50 potatoes.

Iveta drew this frequency polygon for the information in the table. The frequency polygon is not fully correct.

Write down two things that are wrong with the frequency polygon.

Mrs Brown asked each child in her class which pet they liked best.

Here are her results.

dog rabbit cat dog dog hamster cat dog rabbit hamster cat cat dog dog cat dog rabbit dog

Complete the frequency table for this information.

On the grid below, draw a bar chart for this information.

Write down the most popular pet.

In Adam’s garden, the flowers are only red or white or yellow or blue. The chart shows the number of red flowers, the number of white flowers and the number of yellow flowers.

The total number of flowers is 30

Work out the number of blue flowers.

Write down the mode.

There are 40 students in a class. Each student walks to school or cycles to school or gets the bus to school. There are 22 girls in the class. 9 of the girls walk to school. 7 of the boys cycle to school. 6 of the 10 students who get the bus to school are boys. Find the number of these students who walk to school.

The pictogram shows information about the number of vinyl records sold in a shop on Monday and on Tuesday.

Write down the number of vinyl records sold

on Monday,

on Tuesday.

On Wednesday and Thursday a total of 36 vinyl records were sold. The number of records sold on Thursday was 8 times the number of records sold on Wednesday.

Use this information to complete the pictogram.

The table shows information about the numbers of points scored by 30 students in a quiz.

Find the modal number of points.

Work out the total number of points scored.

Sean has drawn a time series graph to show the numbers, in thousands, of visitors to a fun park.

Write down two things that are wrong or could be misleading with this graph.

Sean has drawn a time series graph to show the numbers, in thousands, of visitors to a fun park.

Write down two things that are wrong or could be misleading with this graph.

The histogram gives information about the distribution of the weights of some onions grown by a farmer.

Onions less than 60 grams in weight are used for pickling. Onions greater than 120 grams in weight are sold at the market. The rest of the onions are sent to a food processing factory.

A pie chart is drawn using the information opposite to show what the farmer does with the onions he grows.

The angle of the sector for the onions sent to the food processing factory is x °. Work out the value of x.

There are only apple trees, cherry trees, pear trees and plum trees in an orchard.

The pictogram shows information about the numbers of apple trees, cherry trees and pear trees in the orchard.

There is a total of 30 trees in the orchard.

Complete the pictogram.

Joan asked each of 60 people to name their favourite vegetable.

Here are her results.

Draw an accurate pie chart for her results.

The table gives information about the speeds of 70 cars.

Speed (s mph)	Frequency
0 s 10	14
10 s 20	18
20 s 30	26
30 s 40	12

Draw a frequency polygon for this information.

A shop sells desktop computers, laptops and tablets.

The composite bar chart shows information about sales over the last three years.

Write down the number of desktop computers sold in 2015

Work out the total number of laptops sold in the 3 years.

State the item that had the greatest increase in sales over the 3 years. Give a reason for your answer.

Alex says,

“ In 2017, more tablets were sold than desktop computers. This means the shop makes more profit from the sale of tablets than from the sale of desktop computers.”

Is Alex correct? You must justify your answer.

A group of football fans were asked what their half time snack was.

The table below gives information about their answers.

Draw an accurate pie chart for this information.

Marla buys some bags of buttons.

There are 19 buttons or 20 buttons or 21 buttons or 22 buttons in each bag.

The table gives some information about the number of buttons in each bag.

The total number of buttons is 320

Complete the table.

Emma has 45 rabbits.

30 of the rabbits are male. 8 of the female rabbits have short hair. 12 of the rabbits with long hair are male.

Use the information to complete the two-way table.

One of Emma’s rabbits is chosen at random.

Write down the probability that this rabbit is a female with short hair.

5 60 students were asked how they get to school.

The table shows the results.

What fraction of the 60 students did not walk to school?

Complete the pie chart for the information in the table.

Chrissy drew this graph to show the percentage of buses that got to a bus stop on time for six months.

Write down one thing that is wrong with the graph.

Describe the trend in the percentage of buses that got to the bus stop on time.

The pie charts give information about the ages, in years, of people living in two towns, Adley and Bridford.

40 – 59

The ratio of the number of people living in Adley to the number of people living in Bridford is given by the ratio of the areas of the pie charts.

What proportion of the total number of people living in these two towns live in Adley and are aged 0 – 19? Give your answer correct to 3 significant figures.

The incomplete pictogram shows information about the number of cycles sold in a shop on Tuesday, on Wednesday and on Thursday.

A total of 20 cycles were sold on Tuesday, Wednesday and Thursday.

8 cycles were sold on Friday. 15 cycles were sold on Saturday.

Use this information to complete the pictogram.

Year 9 students from Halle School were asked to choose one language to study.

The table shows information about their choices.

Draw an accurate pie chart to show this information.

Year 9 students from Lowry School were also asked to choose one language to study.

This accurate pie chart shows information about their choices.

Shameena says,

“ The pie chart shows that French was chosen by more Year 9 students at Lowry School than at Halle School.”

Is Shameena right? You must explain your answer.