Foundation November 2021 Paper 1 Q12
12 There are two drama groups in a school.
In one group there are 36 boys and 48 girls.
In the other group, \(\dfrac{3}{7}\) of the students are boys and the rest of the students are girls.
Ann says,
“The ratio of the number of boys to the number of girls is the same for both groups.”
Is Ann correct?
You must show how you get your answer. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| Yes, supported by correct working | P1 | for \(36 : 48\) oe OR \(\dfrac{36}{84}\) oe or \(\dfrac{48}{84}\) oe (relating to drama group 1) |
| P1 | for \(\dfrac{4}{7}\) or \(3 : 4\) oe (for group 2) OR \(\left(\dfrac{36}{84} = \dfrac{3}{7}\right)\) or \(\left(\dfrac{48}{84} = \dfrac{4}{7}\right)\) or \(84 \times 3 \div 7\) (= 36 boys) or \(84 \times 4 \div 7\) (= 48 girls) or \(N \times 3 \div 7\) and \(N \times 4 \div 7\) (relating to drama group 2) | |
| A1 | for Yes with both ratios \(3 : 4\) oe or for a correct pair of fractions and stating they are equivalent. |
Additional guidance
\(N\) can be any number (other than 84) of students in the 2nd group
Both equivalent forms of the ratios (fractions) must be the same
“Yes” may be implied from working