Bar Charts & Pictograms: WJEC GCSE Numeracy Foundation June 2024 Unit 2 Q2

Numeracy Foundation June 2024 Unit 2 Q2

WJECFoundationCurrent spec10 marksBar Charts & Pictograms Basic Probability

2. Gwersyll yr Urdd Glan-llyn is an outdoor activity centre in North Wales.

Some Year 8 pupils from a school are going to Glan-llyn on a trip.
The pictogram below shows how many pupils from each tutor group are going on the trip.
The key for this pictogram is incomplete.

Pictogram of smiley faces. 8L: 5 faces; 8M: 3 and a half faces; 8N: 6 faces; 8P: 4 and a quarter faces; 8R: 5 faces; 8T: 3 and three-quarter faces. Key: one smiley face represents ........ pupils

24 pupils from 8N are going on the trip.

(a)

(i)

Complete the key for the pictogram. [2]

(ii)

How many pupils from 8T are going on the trip? [1]

(b)

There are 110 pupils and 11 teachers going to Glan-llyn.
They will all travel by bus.
Each bus has 37 seats for passengers.

Find the least number of buses needed. [3]

The least number of buses needed = ……………

(c)

(i)

All 24 pupils from 8N chose an afternoon activity.
A teacher recorded how many pupils chose each activity.
He has the following 3 notes:

Three notes. Note 1: 4 pupils chose high ropes. Note 2: This tally shows the number of pupils who chose climbing, with a tally of one gate of five and one more stroke. Note 3: The number of pupils who chose bowling was half of the number of pupils who chose climbing.

Activity	Number of pupils
Climbing
High ropes
Bowling
Sailing

Complete the missing information in the table above. [3]

(ii)

One pupil is selected at random from 8N.
Which of the expressions below best describes the chance that this pupil chose the high ropes?
Circle your answer. [1]

impossible unlikely even chance likely certain

Mark scheme (a)

Scheme	Mark	Comments
(i) 24 ÷ 6	M1	Allow M1 for any one of the following seen 4, 8, 12, 16, 20, 24 (all seen) 4, 4, 4, 4, 4, 4 seen on the pictogram for 8N 6, 12, 18, 24 (all seen) 4 × 6 = 24
4 (pupils)	A1	Answer may be in the key or on the working lines for (a)(i). The answer box for the key takes precedence. Do not accept embedded answers. The answer must be clearly stated.
(ii) 15 (pupils)	B1	F.T 3·75 × ‘their 4’ correctly evaluated. Allow decimal, rounded or truncated answers on FT.

Mark scheme (b)

Scheme	Mark	Comments
4 buses	B3	Award B3 for 4 buses, provided it doesn’t come from incorrect working or values but allow 110 ÷ 37 = 2.97 or 3 buses (or equivalent) and then 4 buses as their final answer. If B3 not awarded, award B2 for any one of the following: (110 + 11) ÷ 37 121 ÷ 37 3·2(7027…) or 3.3 3 buses with 10 (people left) or 3 r 10 121 – 3 x 37 and have 10 (left) with answer of 3 Sight of 4 x 37 or 37 + 37 + 37 + 37 Sight of 148 ‘their 110 + 11’ ÷ 37 answer rounded up If B2 not awarded, award B1 for any one of the following: Sight of 3 x 37 or 37 + 37 + 37 Attempt to work with multiples of 37 up to at least 3 lots of 37 (e.g. 37, 74, 110 or 37, 73, 110) Sight of 111 110 ÷ 37 Answer of 3 ‘their 110 + 11’ ÷ 37 answer rounded down

Scheme

Mark

Comments

4 buses

Award B3 for 4 buses, provided it doesn’t come from incorrect working or values but allow 110 ÷ 37 = 2.97 or 3 buses (or equivalent) and then 4 buses as their final answer.

If B3 not awarded, award B2 for any one of the following:

(110 + 11) ÷ 37
121 ÷ 37
3·2(7027…) or 3.3
3 buses with 10 (people left) or 3 r 10
121 – 3 x 37 and have 10 (left) with answer of 3
Sight of 4 x 37 or 37 + 37 + 37 + 37
Sight of 148
‘their 110 + 11’ ÷ 37 answer rounded up

If B2 not awarded, award B1 for any one of the following:

Sight of 3 x 37 or 37 + 37 + 37
Attempt to work with multiples of 37 up to at least 3 lots of 37 (e.g. 37, 74, 110 or 37, 73, 110)
Sight of 111
110 ÷ 37
Answer of 3
‘their 110 + 11’ ÷ 37 answer rounded down

Mark scheme (c)

Scheme

Mark

Comments

(i)

Activity	Number of pupils
Climbing	6
High ropes	4
Bowling	3
Sailing	11

B1

B1

B1

Answers in the table take precedence
Allow tallies for the correct number of pupils

Award B1 for climbing = 6 AND high ropes = 4

Award B1 for bowling = 3,
F.T ‘their climbing’ ÷ 2

Award B1 for sailing = 11
FT 24 – 4 – ‘their climbing’ – ‘their bowling’

(ii)
unlikely