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IGCSE - Similarity Mark Scheme

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- Mark Scheme
Question
Answer
Marks
1(a)
One rectangle is an enlargement of
the other oe
1
1(b)
9
2
/
AO Element
Notes
Guidance
M1 for 32 or
or SF is 3 or
or 1.5 × 2.5 and 4.5 × 7.5
or
2(a)
7.5
2
2(b)
12 cao
2
576
4
3
or
M1 for [10] ×
oe
M1 for
oe or
M1 for
or
M1 dep for
M1 for (their cube root)2
4(a)
750
1
- Mark Scheme
Question
4(b)
Answer
4.7 cao
Marks
3
/
AO Element
Notes
Guidance
B2 for 4.658 to 4.66 or
M2 for
or M1 for 11π r 2 = their
(a)
4(c)
6
2
M1 for 23 or
oe seen
or for π × (2× their (b))2
× 22
5
6
3
M2 for
oe
or better
M1 for
or
oe or
oe
6
460
2
B1 for 1 cm2 : 100 km2
oe
or M1 for 4.6 ×
1 000 000² ÷ 100 000² oe
seen
7(a)
similar
1
- Mark Scheme
Question
7(b)
Answer
11.61
Marks
/
AO Element
Notes
Guidance
3
M2 for
or M1 for
or
or
oe
8(a)
4.79 or 4.788 to 4.789
3
M2 for
oe
or M1 for
oe
If 0 scored SC1 for
answer 3.8[0…]
8(b)(i)
8.7[0] or 8.702 to 8.704
3
M2 for
(300 − 230) ÷ (1.62 )
or M1 for ×1.62 × h
- Mark Scheme
Question
8(b)(ii)
Answer
6.4
Marks
3
/
AO Element
Notes
Guidance
M2 for
oe
or M1 for sf
or
oe
or for
9
80
2
M1 for
or
or
10
1.8
2
M1 for
oe
oe
oe
- Mark Scheme
Question
11
Answer
10.3 or 10.31 to 10.32
Marks
/
AO Element
Notes
Guidance
3
M2 for
oe
or M1 for
oe or
oe or
oe
12
182 or 182.4…
3
M2 for
oe
or M1 for ratio of lengths
=
or
or
better or for
oe
- Mark Scheme
Question
13
Answer
21
Marks
/
AO Element
Notes
Guidance
3
M2 for
oe
or SC2 for answer
16.8
or M1 for
or
seen
or M1 for a correct
implicit statement for the
length
14(a)
5.83 or 5.832 to 5.833
5
B2 for sector angle = 210
soi
or M1 for
oe
M2 for
oe
or M1 for
oe isw
- Mark Scheme
Question
14(b)
Answer
1.21 or 1.208…
Marks
3
/
AO Element
Notes
Guidance
M2 for
oe
or M1 for
oe isw
14(c)(i)
4[.00...]
3
M2 for
oe
or M1 for
or
or for
oe
14(c)(ii)
2.20704
3
M2 for
77.44 × 1.5 × 19 ÷ 1000
oe
or M1 for figs 2207[04]
or figs 221 seen
or [vol =] 77.44 × 1.5
- Mark Scheme
Question
15
Answer
12.5 or 12.50…
Marks
/
AO Element
Notes
Guidance
3
M2 for
oe
or M1 for
or
seen
or for
oe
16
7:2
2
M1 for
17
1500
or
3
M2 for
oe
or M1 for
oe
OR
M1 for ÷ 203 oe
M1 for × 1003 oe
or
- Mark Scheme
Question
18
Answer
16.6 or 16.64…
Marks
5
/
AO Element
Notes
Guidance
M2 for
oe
or M1 for scale factor
or
oe soi
Then Pythagoras
method:
and M2 for
or
or M1 for
or
OR
alternative trigonometry
method e.g.
M1 for
and M1 for
[Total: 75]
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