Pie Charts GCSE Questions, Worked Examples and Answers

$\frac{90}{360}\times80=\frac14\times80=\boxed{20}$

$\frac{18}{60}\times360^\circ$

$=0.3\times360^\circ$

$\boxed{108^\circ}$

$\frac{84}{360}\times120$

$=\frac7{30}\times120$

$\boxed{28}$

$115+95+60=270$

$x=360-270$

$\boxed{x=90^\circ}$

$\frac{144}{360}\times100\%$

$=\boxed{40\%}$

A $60^\circ$ sector is one sixth of a circle.

$120\div6=20$

$240\div6=40$

$\boxed{20\text{ in A and }40\text{ in B}}$

The total is

$12+18+30=60$

$A:\ \frac{12}{60}\times360^\circ=72^\circ$

$B:\ \frac{18}{60}\times360^\circ=108^\circ$

$C:\ \frac{30}{60}\times360^\circ=180^\circ$

Check: $72+108+180=360$.

$\boxed{72^\circ,\ 108^\circ,\ 180^\circ}$

$45^\circ$ is one eighth of $360^\circ$.

If one eighth is $15$, the whole is

$15\times8=\boxed{120}$

There are $2+3+5=10$ ratio parts.

Each angle part is

$360^\circ\div10=36^\circ$

So the angles are

$72^\circ,\ 108^\circ,\ 180^\circ$

Blue is $3/10$ of $250$.

$\frac3{10}\times250=\boxed{75}$

Walking:

$\frac{54}{360}\times240=36$

Cycling:

$\frac{81}{360}\times240=54$

Difference:

$54-36=\boxed{18\text{ journeys}}$