Foundation November 2020 Paper 1 Q16

16 The table shows information about how 150 students travel to school.

	Walk	Bus	Car
Girls	22	33	17	Total = 72
Boys	24	41	13	Total = 78

(a) What fraction of the girls walk to school?

Give your answer in its simplest form. [2 marks]

(b) One of the boys is chosen at random.

What is the probability that the boy travels to school by bus? [1 mark]

Mark scheme (a)

Answer	Mark	Comments
\(\dfrac{11}{36}\)	B2	B1 \(\dfrac{22}{72}\) or 11 out of 36 or correctly simplified proper fraction that originally had a denominator >13

Condone 11 out of 36 with \(\dfrac{11}{36}\) (together on the answer line) \(\dfrac{11}{36}\) in working and 11 out of 36 on answer line	B2 B1
\(\dfrac{22}{150} = \dfrac{11}{75}\)	B1
\(\dfrac{2}{4} = \dfrac{1}{2}\)	B0
22 out of 72 with no other working 22 out of 72 with \(\dfrac{22}{72}\)	B0 B1
11 : 36	B0

Mark scheme (b)

Answer	Mark	Comments
\(\dfrac{41}{78}\)	B1	oe fraction, decimal or percentage

Ignore attempts to simplify or convert a correct fraction
Ignore probability words
Decimals or percentages to 2sf or better
41 out of 78 or 41 in 78 or 41 : 78 is B0 however, condone 41 out of 78 or 41 in 78 with a correct fraction, decimal or percentage (together on answer line) but do not accept 41 : 78 with a correct fraction, decimal or percentage (together on answer line)	B1 B0

Mark scheme (c)

Answer	Mark	Comments
\(\dfrac{17 + 13}{150}\) or \(\dfrac{30}{150}\) or \(30 \div 150\) or 0.2	M1	oe
20	A1	SC1 for 80 (not car) or 49 or better (Bus) or 31 or better (Walk)

Build up method: 150 = 100%, 15 = 10%, 30 = 20%, answer 20% 150 = 100%, 15 = 10%, \(15 \times 2 = 10\% \times 2\), 30 = 25%, answer 25% 150 = 100%, 15 = 10%, 30 = 15%, answer 15%	M1A1 M1A0 M0A0
\(\dfrac{30}{150}\) seen, then 30% of 150 attempted	M1A0
30 out of 150 or 30 : 150 with no other working	M0A0