Foundation November 2019 Paper 1 Q19

(a) In a field

number of sheep : number of cows = 10 : 3

Zak says,

“There are 10 sheep in the field.”

Give a reason why Zak could be wrong. [1 mark]

(b) In a different field

number of goats : number of pigs = 13 : 4

Priya says,

“There are more than three times as many goats as pigs.”

Is she correct?

Tick one box.

Show working to support your answer. [1 mark]

Mark scheme (a)

Answer	Mark	Comments
Valid reason	B1	eg there might be 20 sheep or the number of sheep could be any multiple of 10 or the ratio may have been simplified or the numbers in the ratio do not have to be the actual numbers

Ignore irrelevant statements but do not ignore contradictory statements
It doesn’t mean 10 sheep it’s just their ratio	B1
The total number of animals is unknown	B1
Could be 50 sheep	B1
Could be 20 : 6	B1
There are 10 sheep for every 3 cows we just don’t know the exact number (of sheep/cows or total)	B1
Could be 50 sheep and 18 cows (error seen)	B0
Could be 50 : 15 = 10 : 3 = 2 : 1 (error seen)	B0
It’s only a ratio	B0
There are 10 sheep for every 3 cows	B0
There could be more than 10 sheep and more than 3 cows	B0
There might be more than 10 sheep / might be more than 3 cows	B0

Mark scheme (b)

Answer	Mark	Comments
Yes and valid working	B1	eg Yes and \((4 \times 3 =)\) 12 oe or Yes and \(4 \times 3\) is less than 13 oe or Yes and \((13 \div 4 =)\) 3.25 oe or Yes and \(13 \div 4\) is more than 3 oe or Yes and \((13 \div 3 =)\) 4.3… oe or Yes and \(13 \div 3\) is more than 4 oe

‘No’ or ‘Cannot tell’ ticked	B0
Ignore irrelevant statements but do not ignore contradictory statements
Allow correct reference to remainders or shortfalls in working eg Yes and \(13 \div 4 = 3\) with one (goat) left over eg Yes and \(13 \div 4 = 3\) r1 eg Yes and \(13 \div 4 = 3.1\)	B1 B1 B0
Any evaluation must be fully correct or reference a remainder or shortfall eg Yes and \(13 \div 4 = 3.2\)	B0
Any comparative statement must be true eg Yes and \(13 \div 4\) is less than 3	B0