Percentages: WJEC GCSE Numeracy Foundation June 2022 Unit 2 Q8

Numeracy Foundation June 2022 Unit 2 Q8

(a)

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]

(b)

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

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

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

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%

8(a) Alternative method (printed in italics in the mark scheme)

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