Edexcel 4MA1 Tables, charts and diagrams
52 questions
The pictogram shows some information about the number of tyres sold in a garage each month from January to April.
Key: represents 8 tyres
(a)
How many tyres were sold in January?
[1]
(b)
Work out the total number of tyres sold in the four months from January to April.
In May, 22 tyres were sold.
[2]
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(c)
Show this information on the pictogram.
[1]
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Also involves
The four operations ·
Forming and solving equations
The pictogram shows information about the number of toys sold in a shop on each of five days.
The number of toys sold on Friday was 16 more than the number of toys sold on Thursday.
Work out the number of toys sold on Monday.
[3]
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Tamsin asked some people how they prefer their eggs cooked. They could choose scrambled or boiled or poached or fried.
The pie chart shows some information about their answers.
(a)
Use the pie chart to complete the table.
[3]
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(b)
One of these people is selected at random.
Write down the probability that this person chose scrambled.
[1]
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Zia asks 20 adults to name their favourite African animal. Here are her results.
elephant rhinoceros rhinoceros lion elephant
lion zebra elephant rhinoceros lion
buffalo elephant buffalo buffalo elephant
rhinoceros lion rhinoceros elephant zebra
(a)
Complete the frequency table to show this information.
[2]
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(b)
Complete the bar chart for the information in your table.
[3]
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The children at a holiday club play sport either on Monday or on Tuesday. They each choose one sport from tennis or athletics or cricket. The two‑way table shows some information about their choices.
(a)
Complete the two‑way table.
[3]
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(b)
One of the children who plays cricket is chosen at random.
Write down the probability that this child plays cricket on Monday.
[1]
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The bar chart gives information about the results of the games played by a school team.
The team gained
3 points for each game it won 1 point for each game it drew 0 points for each game it lost
The team drew 14 games.
Work out the total number of points the team gained.
[3]
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Also involves
Data presentation and interpretation
The pictogram gives information about the number of kilometres Thomas travelled on Monday, on Tuesday, on Wednesday and on Thursday.
(a)
Write down the number of kilometres Thomas travelled on Tuesday.
On Wednesday, Thomas travelled further than he did on Thursday.
[1]
(b)
How much further?
On Friday, Thomas travelled 13 kilometres.
[2]
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(c)
Show this information on the pictogram.
[1]
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Also involves
Data presentation and interpretation
The pictogram shows information about the numbers of different breeds of dog that Lucy saw in the park.
(a)
How many Retrievers did Lucy see in the park?
Lucy saw 10 Spaniels in the park.
[1]
(b)
Show this information on the pictogram.
[1]
(c)
Lucy saw more Cockapoos than Bulldogs in the park.
How many more?
[1]
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At a games club, people played chess or mahjong or rummy or whist. Each person played only one of these games.
Helena starts to draw a pie chart to show information about the games played.
(a)
Work out the number of people who played chess.
40 people played whist.
[2]
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(b)
Work out the size of the angle on the pie chart for the sector representing whist. You do not need to complete the pie chart.
[2]
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The bar chart gives information about the total number of countries in each of five continents.
The total number of countries in Europe is 44
(a)
Draw a bar on the bar chart to show this information.
[1]
(b)
Write down the name of the continent with 23 countries.
[1]
(c)
Which continent has 4 times as many countries as South America?
[1]
(d)
Work out the sum of the total number of countries in Africa and the total number of countries in Oceania.
[1]
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A café sells 4 different types of cake.
carrot (C) fruit (F) lemon (L) madeira (M)
Nala is going to choose 2 different types of cake.
(a)
Write down all the possible combinations she can choose.
The two-way table gives some information about the flavours of ice creams sold by the café on Saturday and on Sunday.
[2]
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(b)
Complete the two-way table.
[2]
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(c)
Nala asks 100 students whether they prefer cake or ice cream.
33 of the students prefer cake.
One of the 100 students is chosen at random.
Find the probability that this student does not prefer cake.
[1]
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The table gives information about the weight of sugar produced by each of five countries in one year.
(a)
Write the number 28 149 in words.
[1]
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(b)
Which of these five countries produced the greatest weight of sugar?
[1]
(c)
Write down the value of the 8 in the number 23 787
[1]
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(d)
Write the number 15 745 correct to the nearest thousand.
[1]
The pictogram gives information about the number of parcels a company posted on each of four days last week.
(a)
How many parcels were posted on Tuesday?
24 parcels were posted on Friday.
[1]
(b)
Show this information on the pictogram.
[1]
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(c)
More parcels were posted on Wednesday than on Monday.
How many more?
[1]
(d)
Find the ratio
number of parcels posted on Monday: number of parcels posted on Thursday Give your answer in its simplest form.
[2]
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Ivor asks 20 children in his class to name their favourite fruit. Here are his results.
apple orange grape peach grape
banana apple orange grape peach
apple apple banana peach orange
grape orange apple orange orange
(a)
Complete the frequency table to show this information.
[2]
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(b)
Complete the bar chart for the information in your table.
[3]
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The pictogram gives some information about the number of cars sold by each of the four employees of Best Cars in April.
In March, Best Cars sold 60 cars in total.
Its target for April was to sell 15% more cars in total than it sold in March.
Show that Best Cars did not meet its target. Show your working clearly.
[4]
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Peter owns boarding kennels for dogs.
The pictogram shows information about the number of dogs that were at the kennels each day from Monday to Thursday last week.
(a)
How many dogs were at the kennels on Monday?
18 dogs were at the kennels on Friday.
[1]
(b)
Show this information on the pictogram.
[1]
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(c)
Peter gave each dog 2 biscuits each day.
Work out the total number of biscuits that Peter gave the dogs during the five days from Monday to Friday last week.
[2]
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Also involves
Ratio ·
Proportion
Trisha asked 90 people to name their favourite type of cheese to put on a pizza. She is going to draw a pie chart for her results.
55 of the 90 people said that mozzarella was their favourite.
(a)
Work out the size of the angle on the pie chart for the sector representing mozzarella.
Haashir asked a different group of people to name their favourite ice cream flavour. He used his results to draw this pie chart.
39 of the people Haashir asked said that vanilla was their favourite.
[2]
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(b)
Work out how many of the people Haashir asked said that chocolate was their favourite.
[2]
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The table gives information about six plays written by William Shakespeare.
Play Number of words Year written The Taming of the Shrew 21 055 1592 Henry V 26 119 1599 Hamlet 30 557 1602 Macbeth 17 121 1606 Julius Caesar 19 703 1599 King John 20 772 1596
(a)
Which of these six plays has the greatest number of words?
Two of these six plays were written in the same year.
[1]
(b)
Write down the name of each of these plays.
The play Othello has 9329 more words in it than the play Macbeth.
[1]
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(c)
Work out the number of words in the play Othello.
[1]
(d)
Write the number 21 055 in words.
[1]
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Adam has 8 packets of noodles. Here is the flavour of noodles in each packet.
Adam takes at random a packet of noodles.
(a)(i)
On the probability scale, mark with a cross ( ) the probability that Adam takes a packet of Hot and Spicy noodles.
[1]
(a)(ii)
Circle the word that best describes the likelihood that Adam takes a packet of Vegetarian noodles.
[1]
(b)
Belinda asks 20 people to name the type of rice that they each like the best.
Here are her results.
arborio jasmine basmati jasmine basmati basmati arborio wild jasmine jasmine jasmine jasmine arborio basmati basmati wild basmati jasmine wild arborio
Complete the frequency table for Belinda’s results.
[2]
Also involves
The four operations
The two‑way table shows some information about the desserts chosen at lunch yesterday by the 80 students from Year 5 and Year 6. Each student chose one dessert from apple pie or fruit or ice cream.
(a)
Complete the two‑way table.
[3]
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(b)
What fraction of these 80 students were in Year 5 and chose apple pie? Give your answer in its simplest form.
[2]
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The bar chart shows information about the weight of steel, in millions of tonnes, exported by each of five countries in 2019
Using the information in the bar chart,
(a)
write down the weight of steel exported by Germany,
[1]
(b)
write down the country that exported 88 million tonnes of steel,
[1]
(c)
work out the difference between the weight of steel exported by Japan and the weight of steel exported by Saudi Arabia.
Italy exported 25 million tonnes of steel in 2019
[1]
(d)
Draw a bar on the bar chart to show this information.
[1]
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The pictogram shows information about the total weight of potatoes grown last year in each of five countries.
The pictogram shows one country where the total weight of potatoes grown last year was 20 million tonnes.
(a)
Which country?
Last year, the weight of potatoes grown in The Netherlands was 6 million tonnes.
[1]
(b)
Show this information on the pictogram.
[1]
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(c)
Work out the total weight of potatoes grown in Germany and in France last year.
[2]
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Also involves
Angle facts
There are 120 cyclists in a cycling club. There are 67 professional cyclists and the rest are amateur cyclists. Each of these cyclists was asked to name their favourite type of bike.
The two-way table shows some information about their answers.
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(b)
Work out the percentage of the cyclists who answered Mountain bike.
Jacob is going to draw a pie chart for the age groups of the 120 cyclists. There are 41 people in the ‘over 60’ age group.
[2]
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(c)
Work out the size of the angle for the sector representing the ‘over 60’ age group.
[2]
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The bar chart gives information about the total number, in millions, of cars produced in 2017 and 2018 for each of five countries.
The total number of cars produced in 2017 and 2018 in Mexico was 8 million.
(a)
Draw a bar on the bar chart to show this information.
[1]
(b)
Which of these six countries produced the greatest total number of cars?
[1]
(c)
Which country produced half as many cars as India?
[1]
(d)
Work out the difference between the total number of cars produced in Japan and the total number of cars produced in Spain.
[1]
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The table gives information about the population, correct to 2 significant figures, of each
(a)
Write 8.8×106 as an ordinary number.
[1]
(b)
Which of these cities had the least population in 2018?
[1]
(c)
Work out the difference between the population of Tokyo and the population of Ahmedabad in 2018 Give your answer in standard form correct to 2 significant figures.
[2]
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Also involves
The four operations
The pictogram shows information about the number of text messages Colin sent on each of four days last week.
(a)
How many text messages did Colin send on Tuesday?
[1]
(b)
Work out the total number of text messages that Colin sent on the four days from Monday to Thursday last week.
On Friday, Colin sent 26 text messages.
[2]
(c)
Show this information on the pictogram.
[1]
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4 40 people were asked to name their favourite type of holiday. The pictogram gives information about the number of these people who said each of City Break or Beach or Walking.
(a)
How many of these people said Beach?
4 people said Cruise. 9 people said Skiing.
[1]
(b)
Show this information on the pictogram.
[2]
(c)
One person from the 40 people asked is selected at random.
Find the probability that this person said City Break.
[2]
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Also involves
The four operations
Bohai works in a shop that sells mobile phones. Last week he sold one mobile phone to each of 300 customers.
The incomplete two‑way table shows some information about these mobile phones.
(a)
Complete the two‑way table.
[3]
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(b)
Bohai selects at random one of these 300 customers.
Write down the probability that this customer bought a type B, 64 GB mobile phone.
Bohai now selects at random one of the customers who bought a type A phone last week.
[1]
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(c)
Write down the probability that this customer bought a 128 GB mobile phone.
[2]
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Also involves
Place value and ordering numbers
The table gives the total area of forest in each of six countries.
Country Area of forest (km2 ) South Africa 92 410 Denmark 5871 El Salvador 2870 Bahamas 5150 Jamaica 3371 Syria 4910
(a)
Which of these six countries has the least total area of forest?
[1]
(b)
Write down the value of the 4 in 92 410
Two of the six countries each have a total area of forest of 5000 km2 when rounded to the nearest thousand.
[1]
(c)
Write down the name of the two countries.
[1]
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(d)
Write the number 3371 in words.
[1]
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The bar chart shows information about the numbers of text messages that Susan and Philip sent from their mobile phones on each of six days one week.
(a)
On which day did Susan send twice as many text messages as Philip?
[1]
(b)
How many text messages did Philip send on Sunday?
On Saturday, Susan sent 15 text messages and Philip sent 40 text messages.
[1]
(c)
Show this information on the bar chart.
[1]
(d)
In the following week, Philip sent a total of 180 text messages. Of these text messages, 25% were sent to Susan.
Work out 25% of 180
[2]
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The table shows information about the grades some Year 9 students gained in a biology test and in a physics test. The highest grade is A and the lowest grade is D.
(a)
How many students gained a grade C in biology?
[2]
(b)
How many students gained the same grade in biology as they gained in physics?
[2]
(c)
How many students gained a higher grade in biology than they gained in physics?
[2]
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Also involves
Angle facts
Cate asked the 60 members of a leisure centre how many times they had each visited the leisure centre last week.
The table gives information about her results.
Number of visits Frequency 0 4 1 12 2 17 3 20 4 7
(a)
Write down the mode of the number of visits.
Cate is going to draw a pie chart for the information in the table.
[1]
(b)
Work out the size of the angle in the pie chart for the sector representing 1 visit.
35% of the 60 members are aged 50 or over.
[2]
(c)
Work out how many of the members are aged 50 or over.
[2]
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The two‑way table shows some information about the 60 noodle meals eaten in a noodle bar by each of 60 people last Friday.
(a)
Complete the two‑way table.
[3]
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(b)
One of the 60 people is selected at random.
Write down the probability that this person ate Fried Udon noodles.
[1]
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The students in class 7T were asked how they got to school one day.
Here is a list of their method of travel to school.
walk bus bicycle walk bus bicycle walk car bus bicycle bus bicycle bus car walk walk bus walk walk car
(a)
Complete the frequency table for the methods of travel in the list.
[2]
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(b)
Draw a bar chart for the information in your table.
[3]
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Also involves
The four operations
The pictogram gives information about the number of eggs laid by Ellie’s chickens in April, in May and in June.
(a)
How many eggs were laid by Ellie’s chickens in April?
Ellie’s chickens laid more eggs in June than in May.
[1]
(b)
How many more?
Ellie’s chickens laid 52 eggs in July.
[2]
(c)
Show this information on the pictogram.
[1]
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Also involves
The four operations
The pictogram shows information about the number of books sold in a shop each day from Monday to Thursday last week.
(a)
How many books were sold on Wednesday last week?
35 books were sold in the shop on Friday last week.
[1]
(b)
Show this information on the pictogram.
[1]
(c)
Last week some books were sold in the shop on Saturday no books were sold in the shop on Sunday a total of 500 books were sold in the shop.
Work out the number of books that were sold in the shop on Saturday last week.
[3]
There are 150 people at an international conference. These 150 people were each asked to say what their main method of transport was to get to the conference. The two‑way table shows some information about these people and their answers.
(a)
Complete the two‑way table.
[3]
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(b)
One of the men from these 150 people is selected at random.
Write down the probability that this man’s main method of transport was train.
[1]
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Pavel asked 60 people at an airport where they came from. All of the 60 people came from Europe or Africa or Asia.
9 people came from Africa. 14 females came from Europe. 3 males came from Africa. 16 of the 29 males came from Asia.
Using this information, complete the two-way table.
[4]
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Paula asks 16 members of her class the number of pets they each have. Here are her results.
1 2 2 4 0 1 2 1
3 3 4 1 1 0 3 2
(a)
Complete the frequency table for her results.
[2]
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(b)
Write down the mode for the number of pets.
[1]
(c)
Work out the range for the number of pets.
[1]
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Also involves
Ratio
The bar chart shows information about the number of visitors to China from each of four
(a)
Write down the number of visitors from Japan.
[1]
(b)
From which country were there 1.1 million visitors?
The number of visitors from Taiwan was 5.4 million.
[1]
(c)
Draw a bar on the bar chart to show this information.
[1]
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(d)
The number of visitors from one country was twice the number of visitors from Malaysia.
Write down the name of this country.
[1]
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Also involves
Ratio
Hugo records the number of pairs of trainers sold in each of four shoe shops last Saturday. He is going to draw a pie chart for his results.
The incomplete table shows two of Hugo’s results and the sizes of three of the angles in his pie chart.
Name of shop Number of pairs of trainers Angle in pie chart ABC Shoes ....................................................... 30° Kilian Stuart Sports 18 45° One Stop Shoes 48 ....................................................... °Superfast Trainers ....................................................... 165°
Complete the table.
[4]
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The bar chart shows information about the weight, in millions of tonnes, of bananas produced by each of four countries in 2016
In 2016, China produced 13 million tonnes of bananas.
(a)
Draw a bar on the bar chart to show this information.
One of these countries produced 6.8 million tonnes of bananas in 2016
[1]
(b)
Which country?
In 2016, a total of 113 million tonnes of bananas was produced worldwide.
[1]
(c)
What fraction of the 113 million tonnes of bananas was produced in India in 2016?
[2]
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The bar chart gives information about the number of points scored by each of four teachers in a quiz.
Joseph starts to draw a pictogram, shown below, for this information. The pictogram shows the number of points scored by Mr Causey and the number of points scored by Mrs Ramirez.
Complete the pictogram, including the key.
[4]
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Also involves
Ratio, proportion and rates of change
Kwo asked 40 people where they went on holiday last year. He is going to draw a pie chart for his results.
16 of the 40 people said they went to Egypt.
(a)
Work out the size of the angle in the pie chart for Egypt.
Tiffany asked some people what type of holiday they each like the best. She used her results to draw this pie chart.
48 of the people that Tiffany asked said they like beach holidays the best.
[2]
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(b)
Work out how many of the people Tiffany asked said they like walking holidays the best.
[2]
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Egor rolled a dice 24 times. Here are his results.
(a)
Complete the frequency table for Egor’s results.
[2]
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(b)
Write down the mode of the numbers that Egor rolled.
Egor thinks the dice he rolled is biased.
[1]
(c)
Give a reason why the results could show that the dice is biased.
[1]
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Also involves
The four operations
The pictogram gives information about the number of rickshaws sold from a garage each month from January to April.
36 rickshaws were sold in January.
(b)
How many rickshaws were sold in February?
15 rickshaws were sold in May from the garage.
[1]
(c)
Show this information on the pictogram.
[1]
(d)
Sandeep makes a profit of 5000 rupees on each rickshaw sold from the garage.
His target profit for January was 200 000 rupees.
Did Sandeep reach his target profit for January? You must show your working.
[2]
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Also involves
The four operations
Lin has 60 bricks. He puts his 60 bricks into a bag.
Some information about the 60 bricks is shown in the two-way table.
(a)
Complete the two-way table.
[3]
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(b)
One of the bricks is taken at random from the bag.
Write down the probability that this brick is blue.
Lin now puts all his large bricks into a sack. He takes at random a large brick from the sack.
[1]
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(c)
Write down the probability that this large brick is orange.
[2]
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The bar chart gives information about the total number of medals won by each of six countries at the 2016 Olympic Games.
(a)
Which of these countries won the fewest total number of medals?
[1]
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(b)
Great Britain won 27 gold medals.
How many of the medals won by Great Britain were not gold medals?
[2]
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(c)
Write down the ratio of the total number of medals won by Russia to the total number of medals won by Germany. Give your ratio in its simplest form.
[2]
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(d)
The USA won 46 gold medals 37 silver medals 38 bronze medals
What fraction of the total number of medals won by the USA were gold medals?
[2]
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The two-way table shows some information about where 50 people went for their last holiday.
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(b)
What percentage of these 50 people were female and went on holiday in Africa?
[2]
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The pictogram shows information about the total weight of bananas grown last year in each of five countries.
(a)
How many million tonnes of bananas were grown last year in Uganda?
[1]
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(b)
Last year the weight of bananas grown in India was more than the weight of bananas grown in China.
How many million tonnes more?
[1]
(c)
Last year the total weight of bananas grown in Indonesia was 6 million tonnes.
Show this information on the pictogram.
[1]
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Also involves
Possibility spaces and combined events
Valentino sells ice cream cones and ice cream tubs. The ice cream flavours are chocolate, strawberry and vanilla.
On Sunday, 120 people each bought one ice cream from Valentino. The two-way table shows some information about these ice creams.
(a)
Complete the two-way table.
[3]
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(b)
One of the 120 people is picked at random.
Find the probability that this person bought a vanilla ice cream cone.
[2]
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Last Thursday, 135 students each bought one item of fruit. The table shows information about the 135 items of fruit they bought.
One of the 135 students is chosen at random.
(a)
Find the probability that this student bought an apple or a banana.
[2]
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(b)
A pie chart is drawn for the information in the table.
Work out the size of the angle in the pie chart for oranges.
[2]
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