Percentages: WJEC GCSE Numeracy Intermediate June 2022 Unit 2 Q2

Numeracy Intermediate June 2022 Unit 2 Q2

WJECIntermediateCurrent spec8 marksPercentages Ratio & Basic Proportion

(a)

In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

Lewis has been told by his doctor to eat 2400 calories per day.

He has been told to eat 35% of these calories at breakfast.

Lewis’s breakfast on Tuesday had a total of 860 calories.

By how many calories did his breakfast on Tuesday exceed the amount he should have eaten?
You must show all your working. [3 + 2 OCW]

(b)

The following information is stated on the packet of breakfast cereal.

Values for 100 g of cereal
Energy	Fat	Carbohydrates	Protein	Fibre	Salt
358 calories	3·7 g	69 g	15 g	12 g	0·3 g

(i)

Express, in its simplest terms, the ratio Carbohydrates : Protein. [1]

(ii)

A serving of cereal has a mass of 30 g.
Calculate the mass of carbohydrates in a serving of this cereal. [2]

Mark scheme (a)

Scheme	Marks	Comments
(Breakfast recommendation is) 0.35 × 2400 or 240 + 240 + 240 + ½ of 240 or 2400 - 0.65 × 2400 or equivalent	M1	(= 840) May be seen in stages 35% of 2400 without further working is awarded M0 Sight of 240 + 240 + 240 + 24 is awarded M0
(Difference in calories) 860 - 0.35 × 2400	M1	Allow 0.35 × 2400 – 860 for M1 FT 860 – ‘their derived 840’ irrespective of how ‘their 840’ was derived
20 (calories)	A1	CAO. Answer of -20 (calories) is A0 Allow incorrect units seen, e.g. 20%
Organisation and communication	OC1	For OC1, candidates will be expected to: present their response in a structured way explain to the reader what they are doing at each step of their response lay out their explanations and working in a way that is clear and logical write a conclusion that draws together their results and explains what their answer means
Writing	W1	For W1, candidates will be expected to: show all their working make few, if any, errors in spelling, punctuation and grammar use correct mathematical form in their working use appropriate terminology, units, etc.

2(a) Alternative method

Scheme	Marks	Comments
(Difference in calories) (860 ÷ 2400 – 0.35) × 2400	M2	M1 for 860 ÷ 2400 – 0.35
20 (calories)	A1	CAO. Allow incorrect units seen, e.g. 20%

Mark scheme (b)

Scheme	Marks	Comments
(i) 23 : 5	B1	Must be whole numbers, mark final answer Allow 23g : 5g
(ii) 30 × 69 ÷ 100 or 69 ÷ (100 ÷ 30) or 69 × 3 ÷ 10 or equivalent	M1	May be shown in stages
20.7 (g)	A1	Allow 21(g) provided not from incorrect working Answers in the range 20.68(g) to 21(g) from premature approximation of 100/30 or 100/69