Joseph asked children in his class what their favourite sport was.
Their answers were used to draw the sector graph below.
Around a quarter of the students preferred which sport?
- Netball
- Soccer
- Cricket
- Basketball
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Joseph asked children in his class what their favourite sport was.
Their answers were used to draw the sector graph below.
Around a quarter of the students preferred which sport?
\(B\)
\(\text{Soccer represents one quarter of the graph.}\)
\(\Rightarrow B\)
A random sample of people were asked what is their favourite winter sport.
The table below recorded the results.
\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex} \textbf{Sport} \rule[-1ex]{0pt}{0pt} & \textbf{Number of People} \\
\hline
\rule{0pt}{2.5ex} \text{Netball} \rule[-1ex]{0pt}{0pt} & \text{25} \\
\hline
\rule{0pt}{2.5ex} \text{Aussie Rules} \rule[-1ex]{0pt}{0pt} & \text{35} \\
\hline
\rule{0pt}{2.5ex} \text{Rugby League} \rule[-1ex]{0pt}{0pt} & \text{30} \\
\hline
\rule{0pt}{2.5ex} \text{Ice Hockey} \rule[-1ex]{0pt}{0pt} & \text{10} \\
\hline
\end{array}
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Tom collected data on the number of big game animals in an African wildlife park.
This graph shows how many big game animals lived in the park.
There were 16 more elephants than rhinos in the wildlife park.
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a. \(\dfrac{7}{20}\)
b. \(\dfrac{3}{20}\)
c. \(80\)
a. \(\text{There are 20 divisions on the sector graph}\)
\(\text{Elephants}=\dfrac{7}{20}\)
b. \(\text{Rhinos}=\dfrac{3}{20}\)
c. \(\text{Let}\ \ n =\ \text{total big games animals in the park}\)
\(\text{Elephants – Rhinos}\) | \(=16\) |
\(\dfrac{7}{20} n-\dfrac{3}{20}n\) | \(=16\) |
\(\dfrac{4}{20}n\) | \(=16\) |
\(n\) | \(=\dfrac{16\times 20}{4}\) |
\(= 80\) |
\(\therefore\ \text{There are 80 big game animals in the park}\)
Bradley's class were asked to choose their favourite colour among four choices.
How many students in Bradley's class chose green? (2 marks)
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`7`
\(\text{Since red is 90° it is one-quarter of the sector graph}\)
\(\rightarrow\ \text{There are 20 students in Bradley’s class.}\)
\(\therefore\ \text{Votes for green}\)
\(=20-(5+2+6)\)
\(=7\)
Kat went on her annual holiday and spent her money on accommodation, meals and shopping.
She spent $1200 in total and the pie chart below shows how she spent it.
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a. \($396\)
b. \($264\)
a. \(\text{Money spent on shopping}\)
\(=33\%\times 1200\)
\(=$396\)
b. \(\text{Money spent on meals}\)
\(=1200-(540+396)\)
\(=$264\)
A survey was conducted that asked students how long it took them to travel to school. This graph show the results.
What percentage of students had a commute between \(15-30\) minutes?
\(B\)
\(\text{Section (15 – 30 minutes) is more than one quarter}\)
\(\text{of the chart and less than half.}\)
\(\therefore\ \text{between 25% and 50%}\)
\(\Rightarrow B\)
This diagram shows the proportion of milkshake flavours sold by a corner store over a 1 month period.
Which flavour makes up 55% of the milkshakes sold?
\(D\)
\(\text{Chocolate takes up slightly more than half the sector graph.}\)
\(\Rightarrow D\)
Anne taught a kindergarten class and asked her students what their favorite fruit is.
Their answers were used to draw the pie chart below.
Around a quarter of her students preferred which fruit?
\(B\)
\(\text{A quarter of students will represent a sector that}\)
\(\text{is the size of a quarter of the circle }\rightarrow\ \text{Apple}\)
\(\Rightarrow B\)
Each bar on this graph shows the population of a country and the population of its capital city.
The white section is the population that lives in the capital city.
The black section is the population that lives outside the capital city.
Which of the following countries has the highest percentage of its population living in its capital city?
\(B\)
\(\text{Considering the length of the white section of each}\)
\(\text{bar and comparing it to the length of the total bar,}\)
\(\text{Belgium easily has the highest percentage living in}\)
\(\text{its capital city.}\)
\(\Rightarrow B\)
Students at a high school were surveyed to find whether they did exercise before school.
The graph below shows the results.
There were 150 17-year-old students at the high school.
How many 17-year-old students responded 'Every Day'?
\(C\)
\(\text{30% of 17-year-old students responded ‘Every Day’.}\)
\(\therefore\ \text{Number}\) | \(=0.3\times 150\) |
\(=45\) |
\(\Rightarrow C\)
Matt and Libby love nature and planted 50 trees each over 3 weeks.
The bar chart below shows the number of trees each of them planted in each week.
How many more trees did Libby plant than Matt in Week 2. (2 marks)
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\(5\)
\(\text{Trees planted by Matt in Week 2}\)
\(= 35-15\)
\(= 20\)
\(\text{Trees planted by Libby in Week 2}\)
\(= 45-20\)
\(= 25\)
\(\therefore\ \text{Libby planted 5 more trees than Matt in Week 2.}\)
The sector graph shows the proportion of people, as a percentage, living in each region of Sumcity. There are 24 000 people living in the Eastern Suburbs.
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Jake used the information above to draw a column graph.
Identify this region and justify your answer. (2 marks)
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i. `text(Let the population of Sumcity =)\ P`
`text(15%)× P` | `= 24\ 000` |
`:.P` | `= (24\ 000)/0.15` |
`= 160\ 000\ …\ text(as required)` |
ii. `text(Western Suburbs population)`
`= text(10%) × 160\ 000`
`= 16\ 000`
`text(The column graph has this population as)`
`text(12 000 people which is incorrect.)`
This sector graph shows the distribution of 116 prizes won by three schools: X, Y and Z.
How many prizes were won by School X?
`B`
`text(Centre angle of School X sector)`
`= 100^@\ text{(by measurement)}`
`:.\ text(Prizes won by school X)`
`= 100/360 xx 116`
`= 32.22\ …`
`=> B`
In a survey, 450 people were asked about their favourite takeaway food. The results are displayed in the bar graph.
How many people chose pizza as their favourite takeaway food? (2 marks)
`175`
`text(Number of people who chose pizza)`
`= text{Length of pizza section}/text{Total length of bar} xx 450`
`~~ 7/18 xx 450`
`~~ 175`
`:.\ 175\ text(people chose pizza.)`