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Predicted foundation maths paper
Typology: Exams
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For multiple choice questions, accept any clear indication – circled underlined etc.
Question Answer Marks Notes and guidance
36 mm
10
15
Chord 1
5a
5b
Award 1 mark for continuing sequence to find
th
and 6
th
term seen or implied
5c
e.g.
more than a multiple of 4
Accept any correct explanation
Award 1 mark for listing all correct integers
with one omission or one error included
Award mark for 1 mark for at least 4 correct
additional combinations seen or implied.
8a
e.g. 40 × 9 = £
Award 1 mark for at least one value rounded
to one significant figure use for an estimation
Award 2
nd
mark for 360 seen
Award 0 marks for an exact value of £383.
8b
e.g. Underestimate as both values have been
rounded down 1
Allow ft from their part a
Award 0 marks for “underestimate” stated
without correct justification
9a
Award 1 mark for 25 × 60 seen or implied
9b
20 months
Award 1 mark for 600 ÷ 30 seen or implied
13a
e.g.
Accept – 4 – 7
13b
Award 1 mark for a correct first step to solve
seen or implied i.e. 4 𝑛 = 10
Accept equivalent answers e.g. 𝑛 =
5
2
15 a 2
Award 1 mark for method to find
P(G or B or Y) seen or implied e.g. 1 − 0.
15b
Award 1 mark for 500 × 0.24 seen or implied
18a
13
40
Accept equivalent fractions or exact decimal
answer (0.325)
Award 1 mark for correct method e.g. writing
each fraction as an equivalent fraction with a
common denominator, converting both
correctly to decimals and correct method to
subtract.
18b
2
9
Award 1 mark for
11
5
5
9
seen or implied
Answer must be simplified for the second mark
19a
19b
19c
6
Award 1 mark for a correct method seen or
implied e.g. ( 9. 6 ÷ 3 ) × ( 10
4
− 2
) or
complete method to evaluate 96000 ÷ 0.
20a 𝑦
6
20b 8 𝑧
15
Award 1 mark for either a correct coefficient
or correct power of 𝑧
Award 1 mark for
150 000 −120 000
120 000
seen or
implied
Award 2
nd
mark for a correct method to
express answer as a percentage
Award 1 mark for an arc with radius 3 cm
drawn from C or an angle bisector of BCD
constructed.
Award 2 marks for both constructions
correctly drawn.
Award full marks for correct region shaded.
Award 1 mark for a correct method to find 𝑥
seen or implied e.g.
6 +𝑥
2
Award 1 mark for a correct method to find 𝑦
seen or implied e.g.
9 + " 10 " + 𝑦
2
Award full marks for both values correctly
found.
26b
23
68
Award 1 mark for
23
𝑘
where 𝑘 is their 68 from
part a
27a
27b
No, with supporting working
Award 1 mark for 𝑏 = 67 ° seen or implied.
Award 2
nd
mark for correct reason stated i.e.
isosceles triangle should have a pair of equal
angles.
Award 0 marks for “No” with no or insufficient
working.
Award 1 mark for at least four correct entries
1.25 litres/hour
Award 1 mark for a correct method to find the
gradient of the line. e.g.
15 − 5
8 − 0
No, with supporting working
Award 1 mark for a correct method to find the
number of coaches needed i.e. 540 ÷ 60 (= 9 )
Award 1 mark for a correct method to find the
cost of hiring 9 coaches.
Award full mark for a correct conclusion with
workings.
Award 0 marks if no working shown
Arc length:
1
3
of 18 𝜋 = 6 𝜋 cm
Perimeter: 6 𝜋 + 9 + 9
Award 1 mark for a correct method to find the
arc length of the sector e.g.
120
360
6.8 kg or 6800 g
Award 1 mark for a correct method to find the
mass i.e. 1.7 × 4000 or 1700 × 4
Award 1 mark for 6800 or 6.8 seen or implied
Award final mark for correct units