The whole pie is \(360^\circ\) and it has to be shared between 30 students, so each person is worth

\(360 \div 30 = 12^\circ\)

Walk was chosen by 2, so its sector is

\(2 \times 12 = 24^\circ\)

The whole pie is 90 students spread over \(360^\circ\), so each person is worth

\(360 \div 90 = 4^\circ\)

The Reading sector is \(40^\circ\), so the number of students is

\(40 \div 4 = 10\)

30 of the 90 students chose Sport, so the fraction is

\(\frac{ 30 }{ 90 } = \frac{1}{3}\)

The four sectors make a full turn, so the four angles add up to \(360^\circ\).

\(128 + 48 + 96 = 272\)

\(360 - 272 = 88\)

So the Yellow sector has an angle of \(88^\circ\).

The whole circle is \(45\) counters spread over \(360^\circ\), so each one takes

\(360 \div 45 = 8\) degrees

\(88 \div 8 = 11\) counters

A sector's share of the drinks is its share of the full turn, so put the angle over \(360\).

\(\frac{ 144 }{360} = \frac{2}{5}\)

A percentage is a share out of \(100\), so multiply the fraction by \(100\).

\(\frac{2}{5} \times 100 = 40\)

So \(40\%\) of the drinks are in the Coffee sector.

The whole circle is \(360^\circ\) for 72 students, so each person is \(360 \div 72 = 5^\circ\).

Maths: \(18 \times 5 = 90^\circ\)

English: \(14 \times 5 = 70^\circ\)

Science: \(12 \times 5 = 60^\circ\)

Art: \(28 \times 5 = 140^\circ\)

The four angles add up to \(360^\circ\). Rule each radius by counting the marks, which are \(10^\circ\) apart, and write each name in its sector.

The angles of a pie chart add up to \(360^\circ\), so the Walk sector has an angle of

\(360 - 60 - 120 = 180^\circ\)

The Walk sector is \(180^\circ\), which is \(18\) lots of \(10^\circ\), and it holds 144 pupils.

\(10^\circ\) stands for \(144 \div 18 = 8\) pupils.

The Car sector is \(120^\circ\), which is \(12\) lots of \(10^\circ\).

\(12 \times 8 = 96\)

A share of the circle is the same share of \(360^\circ\).

Apple: \(\frac{ 5 }{ 18 } \times 360 = 100^\circ\)

Pear: \(\frac{ 1 }{ 12 } \times 360 = 30^\circ\)

Banana: 14 out of 72 is \(\frac{ 14 }{ 72 } \times 360 = 70^\circ\)

The rest is what is left of the circle.

Orange: \(360 - 100 - 30 - 70 = 360 - 200 = 160^\circ\)

Rule each radius by counting the marks, which are \(10^\circ\) apart, and write each name in its sector.

The angle of a sector is its share of the votes times \(360^\circ\).

\(\frac{ 240 }{ 600 } \times 360 = 144^\circ\)

Hana's working ends with 72°. The fraction is multiplied by 180, which is half a turn. The fraction has to be multiplied by 360, a full turn.

So the answer is No.

A sector shows a fraction of its own group, not a number. The two sectors being the same size means the same fraction of each group chose Tea.

Café Roma has 30 customers and Café Blue has 60, so the same fraction of Café Roma is fewer customers than in Café Blue.

So the answer is No.

Café Roma: 6 of the 30 chose Tea.

Café Blue: the same fraction of 60 is 12.

The difference is 6.

Count the marks: the sector for Jay is \(70^\circ\) and the sector for Kim is \(200^\circ\).

That leaves \(360 - 70 - 200 = 90^\circ\) for Lee and Mo.

Lee is \(2\) times Mo, so the \(90^\circ\) is \(3\) equal shares.

Mo: \(90 \div 3 = 30^\circ\), and Lee: \(2 \times 30 = 60^\circ\)

The sector for Jay is \(70^\circ\) of the \(360^\circ\).

\(\frac{ 70 }{360} \times 1116 = 217\)