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Q Working Answer Mark Notes
1 (a) (^) or or
or BC ÷ 16.5 = 4 ÷ 12 or ( BC =) 16.5 ÷ oe
2 M1 correct scale factor (given as 3 ora
fraction or a ratio) or correct equation
using BC or a correct expression for BC
(award for SF even if not used)
5.5 A
(b) 3 x 1 B1 allow 3 × x or x × 3 ft their
“3” in (a)
Total 3 marks
eg sin 65 or
3 M1 for setting up a trig equation in AB
eg ( AB =) 8.4sin65 or
M1 for a complete method
7.61 A1 accept 7.61 – 7.
BC
sin 65
AB
sin 65 sin 90
AB
8.4sin 65
sin 90
AB =
Q Working Answer Mark Notes
3 (a) 5
,
(^7 2) B2 for all correct probabilities
for or
oe eg for accept 0.41(666…) or 0.42,
for accept 0.53(333…) or 0.53,
for accept 0.46(666…) or 0.
(B
(b) 2 M1 ft their tree diagram
A
oe eg or 0.31(111...) or 31(.111…)%
Q Working Answer Mark Notes
2 ´ 2 ´ 7 or 2 ´ 3 ´ 7 or 3
2
´ 7 oe condone 1’s in factor tree
or showing at least 5 correct multiples across at least 2 lists
(excluding 28, 42, 63)
3 M1 accept prime factors seen in factor
tree or correct position in Venn
diagram for at least one of the
numbers given.
2 ´ 2 ´ 7 and 2 ´ 3 ´ 7 and 3 ´ 3 ´ 7
or showing at least 9 correct multiples across all 3 lists
(excluding 28, 42, 63)
M1 accept prime factors seen in factor
tree or correct position in Venn
diagram for all 3 of the numbers
given.
252 A1 or 2² × 3² × 7 oe Dep on M
5 alt
oe
or
3 M1^ For one correct row in table^ eg
division by 7 gives 4, 6, 9
M1 Fully correct table – need only go
as far as top table – we want to see
prime factors along the side or
prime factors along the sides and
bottom (condone 1’s)
252 A1 or oe Dep on M
3 2
2 ´ 3 ´ 7
Q Working Answer Mark Notes
6 (a) 7, 33, 57, 71, 78, 80 1 B
(b) 2 B2 Fully correct cf graph – points at ends of intervals and
joined with curve or line segments.
If not B2 then B1(ft from a table with only one arithmetic
error)
for 5 or 6 of their points at ends of intervals and joined
with curve or line segments
OR for 5 or 6 points plotted correct at ends of intervals
not joined OR for 5 or 6 points from table plotted
consistently within each interval (not at upper ends of
intervals) at their correct heights and joined with smooth
curve or line segments.
(c) 21 – 24 1 B1ft any value in range or ft their cf curve
(d) 2 M1ft eg reading of 72 – 74 or 6 – 8
could be seen as the numerator of a fraction
ft their cf graph
8 A1ft oe, ft their cf graph
fractional answers must have an integer numerator and
denominator
Q Working Answer Mark Notes
8 196 ÷ (9 – 5) (= 49) oe 3 M
3 × “49” M
147 A1 SCB1 for an answer from
34.5 – 34.6 or an answer of 42
Total 3 marks
9 (a) (5), 8, 8, 20, x , (24) (^3) B
(B
(B
for (5), 8, 8, 20, x , (24)
where x = 21 or 22 or 23
for (5), 8, 8, 20, x , (24) where x is
blank or any value other than 21,
22 or 23)
for a list with a median of 14
or a mode of 8 or the 3
rd and 4
th
cards having a sum of 28
(ignoring other cards))
(b) eg 5 × 21 (= 105) or 6 × 23 (= 138) 3 M
eg 6 × 23 – 5 × 21 M
33 A
Q Working Answer Mark Notes
10 (a) (231 776 – 228 314) ÷ 228 314
or 3462 ÷ 228 314 (= 0.01516…)
or 231 776 ÷ 228 314 (= 1.01516…)
2 M
1.5 A1 for 1.5 or better (1.516…)
(be careful: 3462 ÷ 231 776 × 100 = 1.49….)
(b) 231 776 ÷ 1.077 oe 3 M2 If not M
then M1 for 100 + 7.7 (=107.7) or
1 + 0.077(=1.077 ) seen
but not 1 + 7.7%
215 000 A1 for 215 000 or better
(if no marks awarded
SCB1 for 212000 or better (211990.71…))
Total 5 marks
11 (0´13) + 1 ´ 17 + 2 ´ 8 + 3 x + 4 ´ 11 or
(0 +) 17 + 16 + 3 x + 44 (= 77 + 3 x )
M1 at least 3 correct products with
intention to add.
eg award for 77 seen as this is sum
of 3 products
(13 + 17 + 8 + x +11) oe eg 49 + x
or 98 + 2 x
M1 Sum for total frequency or
(frequency × 2)
= 2 oe e.g. "77 + 3 x " = 2("49 + x ")
M1 for use of mean in valid equation
(ft their values for sum of products
and their total frequency if M
awarded previously)
21 A
x
x
Q Working Answer Mark Notes
14 3.445, 3.455, 1.85, 1.95, 4.5, 5.5 3 B1 any one bound
( A =) 3.445 -
M
where 3.445 ≤ LBw < 3.45,
1.9 < UBx ≤ 1.95, 4.5 ≤ LBy < 5
2.6 A1 oe, (dep on M1),
from correct figures (3.445, 1.95, 4.5)
Total 3 marks
eg ´ p ´ d = 5 or ´ p ´ 2 ´ r = 5 oe
OR ´ 5(= 32.7...) oe
4 M1 for a correct equation for the diameter or
radius OR for a method to find the
circumference of the circle
eg (^) d = (= 10.4...) or (^) r =
M1 for a method to work out the diameter or
radius
OR d = (= 10.4...) or r = (= 5.2...)
(area =) eg p ´ or
M
85.2 A1 allow 84.9 – 85.
2
2
x
w
y
UB
A LB
LB
55 p
55 2 p
p
2 ´ p
2
æ ö
ç ÷
è ø
2
p ´ "5.2..."
Q Working Answer Mark Notes
(^16) 12 × tan 5 (=1.05) or
tan 5 = or 12tan5 or (^) tan 85 = or
= oe or ( y =) 1.04986… oe
3 M1 oe correct expression using tan or
the sine rule
or
( AB =) 2.6 + “1.05” oe M
3.65 A1 allow awrt 3.
y 12
' y '
tan 85
sin 5
y 12
sin 85
2
2
cos
æ ö
ç ÷
è ø
Q Working Answer Mark Notes
18 DFE = 42° or DOG = 180 ‒ 2 × 42 (= 96)
or EFG = 90° or EDG = 90º
or DEG = 90 – 42 (= 48)
4 M1 used or seen in diagram (must be
clearly labelled if not in diagram)
48° A1 award 2 marks for 48 unless from
an incorrect method
angles in same segment or
angles from same chord or
angles at the circumference subtended from the same
arc of the circle
angles in a semicircle are 90°
angles in a semicircle are 90°
angle subtended by diameter is 90°
angle at centre twice angle at circumference oe
angles in a triangle add to 180
angles in a triangle add to 180
B2 Dep on a fully correct method to
find angle DFG
for a full set of reasons relevant to
their method.
B1 dep on M1 for at least one
relevant circle theorem.
Q Working Answer Mark Notes
19 at least two of 3, 8, 5, 2 seen
or
at least two correct frequency densities from 0.6, 0.8, 1, 1.2, 0.
or
eg one cm on FD axis = 0.
or
eg top of FD axis labelled 2
or
eg 1 plant = 20 small squares
or
total small squares in at least 2 bars (60, 160, 100, 240, 40)
or
total number of 1 cm squares for at least 2 bars (2.4, 6.4, 4, 9.6, 1.6) oe
4 M1 At least 2 frequencies for other bars
or scale on FD axis
or eg 20 small squares represents 1
plant oe
3 + 8 + 5 + 12 + 2 (= 30) M1 add up 5 frequencies (allow one error)
or or
adding the number of small squares in all bars: adding the number of small squares in
60 + 160 + 100 + 240 + 40 (= 600) all bars
or (allow one error)
adding the number of 1 cm squares in all bars: or
2.4 + 6.4 + 4 + 9.6 + 1.6 (= 24) adding the number of 1 cm squares in
oe all bars (allow one error)
oe
M1 ft their figures dep on the previous
M
or or oe
1 A
oe eg
allow 0.16(66…) ie 2 dp truncated or
rounded or better
Q Working Answer Mark Notes
Edexcel averages: scores of candidates who achieved grade:
Qn
Mean
score
Max
score
Mean
%
ALL 9 8 7 6 5 4 3 U
1 2.50 3 83 2.50 2.97 2.91 2.88 2.73 2.23 1.58 0.82 0.
2 2.28 3 76 2.28 2.92 2.84 2.81 2.44 1.98 0.94 0.25 0.
3 3.06 4 77 3.06 3.94 3.76 3.56 3.09 2.39 1.67 0.94 0.
4 3.61 5 72 3.61 4.71 4.46 4.24 3.77 2.75 1.87 0.96 0.
5 2.31 3 77 2.31 2.84 2.62 2.51 2.20 1.91 1.76 1.36 0.
6 4.21 6 70 4.21 5.77 5.36 4.90 3.99 3.36 1.89 0.92 0.
7 3.37 5 67 3.37 4.69 4.33 3.95 3.41 2.42 1.36 0.48 0.
8 1.97 3 66 1.97 2.83 2.60 2.22 1.94 1.32 0.81 0.41 0.
9 3.77 6 63 3.77 5.63 4.91 4.38 3.40 2.51 1.28 0.59 0.
10 2.97 5 59 2.97 4.64 3.90 3.29 2.54 1.95 0.98 0.29 0.
11 2.20 4 55 2.20 3.78 3.21 2.49 1.61 0.86 0.43 0.19 0.
12 1.41 3 47 1.41 2.50 1.84 1.45 0.96 0.72 0.47 0.28 0.
13 1.46 3 49 1.46 2.81 2.39 1.43 0.72 0.40 0.17 0.13 0.
14 1.24 3 41 1.24 2.39 1.73 1.31 0.79 0.41 0.13 0.04 0.
15 1.70 4 43 1.70 3.68 2.78 1.53 0.60 0.27 0.05 0.05 0.
16 1.21 3 40 1.21 2.51 1.78 1.14 0.70 0.27 0.08 0.00 0.
17 1.83 5 37 1.83 3.65 2.72 1.82 1.09 0.49 0.12 0.00 0.
18 1.30 4 33 1.30 2.83 1.71 1.15 0.58 0.41 0.19 0.09 0.
19 1.32 4 33 1.32 3.07 1.88 1.11 0.49 0.19 0.03 0.00 0.
20 1.06 4 27 1.06 2.87 1.30 0.58 0.26 0.09 0.05 0.01 0.
44.78 80 45 44.78 71.03 59.03 48.75 37.31 26.93 15.86 7.81 1.
Suggested grade boundaries
Grade 9 8 7 6 5 4 3
Mark 65 54 43 32 21 12 6
