2D Area & Perimeter: WJEC GCSE Numeracy Foundation June 2025 Unit 1 Q2

Numeracy Foundation June 2025 Unit 1 Q2

WJECFoundationCurrent spec10 marks2D Area & Perimeter Bar Charts & Pictograms Decimals

(a)

Local authorities in Wales recycle household waste.
The chart below shows the percentages of waste that some local authorities recycled in 2021 and 2022.

Horizontal dual bar chart of the percentage of household waste recycled in 2021 (black) and 2022 (grey) by 11 local authorities, Bridgend to Wrexham, on a scale from 0 to 80 percent

(i) How many of these local authorities recycled a greater percentage of waste in 2022 than they recycled in 2021? [1]

(ii) In 2022, four of the local authorities recycled 70% or more of their household waste.
Name these four local authorities. [2]

(iii) In 2022:

65·2% of household waste was recycled in Wales
59·7% of household waste was recycled in Caerphilly.

Calculate the difference between these two percentages. [2]

(b)

This bar chart shows the percentage of waste recycled in the UK in 2020.

Bar chart of percentage of household waste recycled for UK, England, Northern Ireland, Scotland and Wales; the vertical scale is labelled 0, 20, 30, 40, 50, 60 and the Scotland bar is twice as wide as the others

Write down two things that are wrong with the bar chart. [2]

(c)

Kristian tries to recycle as much as possible.
He had some spare square and rectangular tiles, as shown below.

A square tile measuring 20 cm by 20 cm and a rectangular tile measuring 50 cm by 20 cm

Diagram not drawn to scale

Rather than replace his garden table, Kristian used his spare tiles to tile the top of the table.
The tiled table top is shown below.

Rectangular table top tiled in 4 rows; rows 1 and 3 are square, rectangle, rectangle, square; rows 2 and 4 are rectangle, square, square, rectangle

Diagram not drawn to scale

Kristian wants to put a border around the perimeter of the table.
What length of border will he need? [3]

Mark scheme (a)

Scheme	Marks	Comments
(i) 5	B1	Do not accept local authorities listed unless the number 5 is seen
(ii) Bridgend, Conwy, Pembrokeshire, Vale of Glamorgan	B2	Award B1 for either 4 correct and 1 incorrect 3 correct with 1 incorrect 3 correct with 0 incorrect
(iii) 65.2 – 59.7	M1
5.5 (%)	A1

Mark scheme (b)

Scheme	Marks	Comments
Two different reasons linked to: Not all bars the same width Consistent scale not used No label on the horizontal axis No title	E2	For any two of these, or equivalent statements. Ignore additional comments. Do not accept repeated reasons Allow: ‘Scotland wider (or bigger) than the others’ ‘Scotland’s bar is different’ ‘Scotland’ ‘Scotland is too big’ ‘Scotland is the biggest and should be the same’ ‘Bars are not equal as one is using 2 boxes other using 1 box’ ‘The scale should go from 0, then 10, then 20.’ ‘The scale has missed out 10’ ‘They could have used the 10 times table (up the side)’ ‘The numbers are not going up even’ ‘Scale (is not right)’ ‘Doesn’t start with 10’ ‘Scale should go up 20, 40, 60 …’ ‘Doesn’t use10’ ‘The label ‘Countries’ is missing’ ‘No labels on y and x axis’ ‘Graph is not labelled correctly’ Do not allow: ‘UK shouldn’t be at the bottom as it is showing places in the UK’ ‘The names as the UK has a bar and then has all the countries after it’ ‘One bar is the UK, while the others are what make the UK’ ‘Not all bars are the same size’ ‘The bars are not equal sizes’ ‘The gaps are a little too big’ ‘The percentage of household waste should be on the side not on the top’ ‘Numbers are not accurate’ ‘Bar chart numbers are not right’ They have put the wrong amount of numbers on the side’ Award E1 for one correct reason

Scheme

Marks

Comments

Two different reasons linked to:

Not all bars the same width
Consistent scale not used
No label on the horizontal axis
No title

For any two of these, or equivalent statements.
Ignore additional comments.
Do not accept repeated reasons

Allow:

‘Scotland wider (or bigger) than the others’
‘Scotland’s bar is different’
‘Scotland’
‘Scotland is too big’
‘Scotland is the biggest and should be the same’
‘Bars are not equal as one is using 2 boxes other using 1 box’
‘The scale should go from 0, then 10, then 20.’
‘The scale has missed out 10’
‘They could have used the 10 times table (up the side)’
‘The numbers are not going up even’
‘Scale (is not right)’
‘Doesn’t start with 10’
‘Scale should go up 20, 40, 60 …’
‘Doesn’t use10’
‘The label ‘Countries’ is missing’
‘No labels on y and x axis’
‘Graph is not labelled correctly’

Do not allow:

‘UK shouldn’t be at the bottom as it is showing places in the UK’
‘The names as the UK has a bar and then has all the countries after it’
‘One bar is the UK, while the others are what make the UK’
‘Not all bars are the same size’
‘The bars are not equal sizes’
‘The gaps are a little too big’
‘The percentage of household waste should be on the side not on the top’
‘Numbers are not accurate’
‘Bar chart numbers are not right’
They have put the wrong amount of numbers on the side’

Award E1 for one correct reason

Mark scheme (c)

Scheme	Marks	Comments
2 × (20 + 50 + 50 + 20 + 20 + 20 + 20 + 20) (2 × (140 + 80) or (140 + 80 + 140 + 80)) OR 12 × 20 + 4 × 50 (240 + 200) OR 2 × (2 × 20 + 2 × 50 + 4 × 20) (2 × (40 + 100 + 80)) or equivalent	M2	Look at diagram Award M1 for any one of the following (these could be within a calculation): 20 + 50 + 50 + 20 + 20 + 20 + 20 + 20 or 220 or equivalent 6 × 20 + 2 × 50 or 220 140 + 80 or 220 140 and 80 seen but not added 40 + 100 + 80 or 220 2 × (20 + 50 + 50 + 20) or 280 2 × 140 or 280 or equivalent 2 × (20 + 20 + 20 + 20) or 160 or equivalent Exactly 8 lots of 20 seen added (with 50s) 2 × 80 or 160 or equivalent 12 × 20 or 240 Exactly 12 lots of 20 seen added (with 50s) 4 × 50 or 200 Exactly 4 lots of 50s added (with 20s)
440 (cm)	A1	CAO