## GCSE Maths Tuition Fractions

**Question**** **

(From **Grade 9 **Target GCSE Maths)

In Jodie's school, one fifth of the pupils are in year 7. The ratio of girls to boys in year 7 is 3:2 and 20% of the girls in year 7 have blonde hair.

**a) What fraction of girls In year 7**** have blonde hair?**

So let's turn this into an OF question (OF in maths more often than not means times)

20% or **1/5 of**** **the *girls in y7** have blonde hair.*

We know the ratio of *girls in y7* to boys is 3:2. Therefore *girls in y7* are **3/5 of** the *pupils in y7*.

We are also told *pupils in y7* are **1/5 ****of**** **the school pupils.

Therefore the girls with blonde hair are **1/5 of** y7 girls which is **3/5 of** y7 pupils which is **1/5 of** school pupils.

So as *of* in maths more often than not means times we have

1/5 x 3/5 x 1/5 = **3/125**

Therefore the fraction of the girls in school with blonde hair is 3/125.