HSC General Mathematics 2009
Quick Answers
Disclaimer
Section 2
These answers are intended as a quick guide
only. To save space there are no worked
solutions or diagrams. For greater detail
please refer to fully worked solutions.
Question 23
(a) (ii) 17°.
(b) (i) 10 000
1
(ii) 2000
or 0.0005 or 0.05%.
Section 1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
C
C
C
A
D
A
A
D
C
B
B
C
B
D
D
A
C
B
B
B
D
A
(c) (i) 13.77 m2.
(ii) $880.
€
(d) (i) $12.50
(ii) $3
Question 24
(a) (i) 78
(ii) 46.
(b) (i) $8 million.
(ii) $4 million.
(c) Many possible answers. For example, the
government might decide to open a new
school in an area with a large number of
school age children.
(d) (i)
€
y = −x + 200 or x + y = 200 .
(ii) Because the maximum number of
pairs of boots made each week is
120, and€the maximum number of
pairs of sandals made each week is
150.
(iii) Profit at B is $3450 and the profit at
C is $4080. The profit is greater at C.
(e) (i) $1200
(ii) Each year the computer would be
30% less than the year before, which
will always be a positive amount,
and therefore it will never be worth
nothing.
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HSC General Mathematics 2009
Quick Answers
Question 25
Question 27
(a) (i) −2x − 9
(a) (i) $32 342.
(ii) $50 000.
(b) 2 × 10 −8 grams.
€
(c) (i) 508 m2.
€
(iii) $285.70
(ii) 76 200.
(b) (i) 312°.
(d) (i) 21.6°C.
(ii) Approximately 2.8 km.
(ii) 83.85% of spring days.
(iii) Approximately 2.3 km2.
(c) Mary. (0.02 compared to 0.0199)
Question 26
(a) (i) 4 hours.
Question 28
(ii) 75% of girls.
(a) (ii) 54 metres.
(iii) If 25% of boys was the same as 25%
of girls, which is when the total
number of boys and girls are the
same.
(b) (i) There is a positive correlation
between the height and mass of the
child.
(ii) M = 0.23H − 8.05
(b) (i) 16
(ii) 1 pm on Tuesday.
(c) 17.8 metres.
€(d) Yes, Juan is correct.
(iii) 8 am on Thursday.
(c) (i) $528 000.
(ii) A = $1496.50
B = $298 596.50
⎧ 1.005 240 −1 ⎫
(iii) (1) 300 000 = M ⎨
240 ⎬
⎩ 0.005(1.005) ⎭
(2) $2149.29
€
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