Foundation November 2019 Paper 2 Q18

18 A drink is made by adding water to juice.

Instructions
Add an amount of water that is between 2 times and 3 times the amount of juice

Rana has 120 ml of juice.

She adds some water.
She has now made 450 ml of the drink.

Has Rana followed the instructions?

You must show your working. [3 marks]

Mark scheme

Answer	Mark	Comments
Alternative method 1
\(120 \times 2\) or 240 and \(120 \times 3\) or 360	M1	2 may be [2, 2.75) and 3 may be (2.75, 3]
\(450 - 120\) or 330	M1
240 and 360 and 330 and Yes	A1	correct values using their [2, 2.75) and their (2.75, 3] comparing with 330
Alternative method 2
\(120 \times 2\) or 240 and \(120 \times 3\) or 360	M1	2 may be [2, 2.75) and 3 may be (2.75, 3]
their 240 + 120 or 360 and their 360 + 120 or 480	M1dep	oe
360 and 480 and Yes	A1	correct values using their [2, 2.75) and their (2.75, 3] comparing with given 450
Alternative method 3
\(450 - 120\) or 330	M1
their \(330 \div 120\) or 2.75	M1dep	oe eg \(450 \div 120 - 1\) or \(3.75 - 1\) is M2
2.75 and Yes	A1	comparing with given 2 and 3
Alternative method 4
\(450 - 120\) or 330	M1
their \(330 \div 2\) or 165 and their \(330 \div 3\) or 110	M1dep	2 may be [2, 2.75) and 3 may be (2.75, 3]
165 and 110 and Yes	A1	correct values using their [2, 2.75) and their (2.75, 3] comparing with given 120
Alternative method 5
2 + 1 or 3 and 3 + 1 or 4	M1	3 may be [3, 3.75) and 4 may be (3.75, 4]
\(120 \times 3\) or 360 and \(120 \times 4\) or 480 or \(450 \div 3\) or 150 and \(450 \div 4\) or 112(.5)	M1dep	oe 3 may be [3, 3.75) and 4 may be (3.75, 4]
360 and 480 and Yes or 150 and 112(.5) and Yes	A1	comparing with given 450 or comparing with given 120

Use the method that gives the most marks even if there are multiple attempts
Yes may be seen by the question or implied by eg It is between 2 and 3 times
\(450 \div 120\) only or 3.75 only	M0