Foundation November 2022 Paper 3 Q17

17 This scale drawing of a bus has length 8 cm

Scale 1 cm represents 1.65 m

The actual length of the bus is 3.8 times the actual length of a car.

Work out the actual length of the car.

Give your answer in metres, to the nearest centimetre. [3 marks]

Mark scheme

Answer	Mark	Comments
Alternative method 1
\(8 \times 1.65\) or 13.2	M1	oe
their \(13.2 \div 3.8\) or [3.47, 3.474] or \([3.47, 3.474] \times 100\) or [347, 347.4]	M1	oe their 13.2 must come from a division or multiplication using 8 and 1.65 only
3.47	A1	SC2 3.4(0) or 3.5(0) SC1 50.16 or 1.27 or 1.28
Alternative method 2
\(8 \div 3.8\) or [2.1, 2.11]	M1	oe
their \([2.1, 2.11] \times 1.65\) or [3.465, 3.4815] or \([3.465, 3.4815] \times 100\) or [346.5, 348.15]	M1	oe their [2.1, 2.11] must come from a division or multiplication using 8 and 3.8 only
3.47	A1	SC2 3.4(0) or 3.5(0) SC1 50.16 or 1.27 or 1.28
Alternative method 3
\(1.65 \div 3.8\) or [0.43, 0.434211]	M1	oe
\(8 \times\) their [0.43, 0.434211] or [3.44, 3.474] or \([3.44, 3.474] \times 100\) or [344, 347.4]	M1dep	oe
3.47	A1	SC2 3.4(0) or 3.5(0) SC1 50.16 or 1.27 or 1.28

Up to M2 may be awarded for correct work, with no or incorrect answer, even if this is seen amongst multiple attempts
In Alt 1 and Alt 2 the 2nd mark is not dependent In Alt 3 the 2nd mark is dependent
Answer 347 cm or 348 cm with metres crossed out	M1M1A0
Begins by multiplying or dividing by a power of 10 eg1 \(800 \times 1.65 \div 3.8\) oe with answer 3.47 (recovered) eg2 \(8 \times 165 \div 3.8\) oe with answer 347 eg3 \(800 \times 1.65\) oe with answer 1320 eg4 \(0.8 \times 165\) oe	M1M1A1 M1M1A0 M1M0 M1
3.47 in working but a different answer on the answer line, eg 1 3.47 in working but 3 on answer line eg 2 3.47 in working but 347 on answer line	M1M1A0 M1M1A0
\(8 \times 1.65 \div 3.8\) oe	M1M1
\(8 \div (3.8 \div 1.65)\)	M1M1
\(8 \times 1.65 \times 3.8\) oe (which gives 50.16)	M1M0
\(8 \div 1.65 \div 3.8\) oe (which gives 1.27 or 1.28)	M0M1
\(8 \div 1.65 \times 3.8\) oe (which gives 18.4242…)	M0M0
\(1.65 \times 3.8\) with no other relevant working	M0