- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
1 final answer 2 M1 for
oe
2 1, 2, 3 2 M1 for
oe
If 0 scored, B1 for 2
correct answers and no
others
or 3 correct answers with
one extra value
3 oe 1
4 –1, 0, 1 final answer 2 B1 for
or two correct answers
and no extras
or three correct answers
and one extra/wrong
5(a) oe 1
5(b) M1 for oe 2
A1 for one step shown to
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
5(c) B1 for ruled 5 Broken line
B2 for ruled Solid line
B1 for line passing
through (0, 15) or (10,
B1 for ruled 0)
B1 for correct region indicated Solid line
5(d) 412 2 M1 for (4, 9) identified
or for evaluation 40x +
28y for an integer point
in the region (x > 0 and y
> 0)
6 oe final answer 2 M1 for
or
better
or
or better
7 −1, 0, 1, 2 final answer 3 B2 for 3 correct values
and no incorrect values
or 4 correct values and
one incorrect value
or M2 for
oe
or M1 for
or oe
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
8 final answer 3 M1 for
M1 for
oe
9 4, 5, 6 3 B2 for 1 error or 1
omission
or M2 for
oe
or M1 for or
or better
10 final answer 2 M1 for correct first step
e.g.
11 2 M1 for 8n − 3n < −5 −17
n < −4.4 or n <
or better
or 3n – 8n > 17 + 5 or
final answer
better
12 4 2
M1 for oe or
better
13(a) 3 2 M1 for
or better
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
13(b) 1
final answer
13(c) 4
or 0.5 B3 for answer
OR
B2 for
or M1 for correct first
step for
e.g.
M1FT for
e o
with common
denominator
14 2 M1 for or
final answer
or
15(a) 2.98 × 1017 or 2.980... × 1017 1
15(b) 625 2 M1 for x = j(4)
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
16(a)(i) 3 1
16(a)(ii) 7 1 FT their (i)
3 × their (i) − 2
16(b) 2 M1 for or
oe final answer
or
16(c) 25 2
M1 for oe
16(d) 2
final answer M1 for
17 2 M1 for 1 + 4x = 15
3.5 or
18(a) 169 2 M1 for g(13) or (1+ 4x)2
or better
18(b) 1 + 4x 2 final answer 1
18(c) x 1
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
19 [x =] –2.1 oe 4 M3 for
or
better
OR
M1 for
or
better
M1 for or
better
If 0 scored SC1 for
answer oe
20 3
M2 for ,
or
M1 for ,
or
21 [p = ] –13 2 M1 for or
better
22(a) 256 1
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
22(b) 8 2 M1 for or
for
22(c) 3 M1 for
B1 for
oe
22(d) 16 2 M1 for
or better
22(e) 2 M1 for or for
oe final answer
or for
22(f) 3 B1 for
final answer
or
better seen
M1 for common
denominator
22(g) 16 1
23(a) 4 1
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
23(b) 52 2 M1 for f(8) seen or
23(c) 1
23(d) 3 M1 for
or
final answer
B1 for denominator
or
23(e) −3 2 M1 for
23(f) [p =] 0 and [p =] 1 2 B1 for each
24(a) 19 2 M1 for soi
or for
24(b) 2 M1 for correct first step
oe final answer
or
or
25 5 – 2x final answer 2 M1 for 2(1 – x) + 3 oe
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
26(a) 82 2 M1 for soi by
or g(9) isw
26(b) 2 M1 for
final answer
or
or
26(c) [a =] 1, [b =] 2, [c =] 2 3 B2 for
or M1 for
26(d) 3 M2 for
oe
or M1 for soi
f(x) = 4
or for or
better
27(a) −3 1
27(b) 2
oe M1 for soi
27(c) final answer 2 M1 for
isw
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
27(d) 2 M1 for a correct first step
oe final answer
,
or
27(e) 3 M1 for
final answer oe
isw
B1 for common
denominator
27(f)(i) M1 for 3
B1 for
A1 for
with no errors and must
oe show
leading to with no omissions after
this
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
27(f)(ii) B2 for 4 B1 for
or better
oe
or B1 for
oe
or
B1 for each
B2 for 0.17 and 1.08 final ans
If 0 scored, SC1 for
answer 0.2 and 1.1
or answer − 0.17 and
−1.08
or 0.174... and 1.075 to
1.076 seen
or 0.17 and 1.08 seen in
working
28(a) 27 2 M1 for 33x seen
28(b) 3 2 M1 for 7 + 3x = 24
28(c) 2 M1 for
oe final answer
or
or
or
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
29 5 2 M1 for
30(a) final answer 1
30(b) 2 M1 for correct first step
final answer
e.g. ,
,
31(a) 0 1
31(b) 5 2 M1 for
or better
or or
31(c) 2 M1 for
oe final answer
or
or or better
31(d) 2 M1 for
oe
31(e) 2 B1 for three terms from
correct
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
31(f) 27 2 M1 for
32(a) −17 2 M1 for f(11) seen
or 5 − 2(5 − 2x) or
better
32(b)(i) 4x 2 + 8 oe 1
32(b)(ii) 2 M1 for x = 5 − 2y
oe final answer
or 2x = 5 − y
or y – 5 = –2x
or
33(a) 26 2 M1 for g(5) or for
33(b) 2 M1 for
33(c) 5 2 M1 for 2x − 3 = 7
33(d) 2 M1 for
oe
or
or oe
34(a) 1 2 M1 for h(0) or for
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
34(b) 8 2 M1 for g(¼) or for
34(c) 3
or final answer M2 for or
better
or or better
or
or M1 for
or
or
or
34(d) 5 1
35(a) [0].70 cao 2 B1 for [0].696 to
[0].697
35(b) 4 cao 1
36(a) 1
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
36(b) 2 M1 for correct first
algebraic step e.g.
y – 5 = 3x or
or better
or
for interchanging x and y,
e.g. x = 3y + 5, this does
not need to be the first
step
36(c) 9x + 20 cao final answer 2 M1 for 3(3x + 5) + 5
37(a) −13 1
37(b) 1
37(c) 9x − 10 cao 2 M1 for
- Mark Scheme /
Question Answer Marks AO Element Notes Guidance
37(d) 2 M1 for correct first step
final answer oe
e.g.
or
or or better
or
for interchanging x and y,
e.g. , this does
not need to be the first
step
[Total: 184]
