HSC General Mathematics 2007
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
(b) (i) 144 m3.
(ii) 12 hours.
(iii) 8000 L.
Section 1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
(a) (i) $5000
(ii) Rose’s by $2000.
(iii) 1 year.
B
A
D
A
C
A
D
C
A
B
B
C
C
B
A
D
C
C
A
D
D
B
(c) (i) 45 crocodiles.
(ii) 60 crocodiles.
Question 24
(a) (i) 11.4
(ii) Median remains at 8.
Mean decreases to 7.1.
(b) 3.6 seconds.
(c) (i) 480 euros.
(ii) The gradient will increase
(ie. get steeper).
(d) (i) Females are skewed towards older
ages, while males are skewed
towards younger ages.
(ii) 64.
(iii) 175.
(iv) Using a grouped frequency table to
calculate the mean will only give an
approximation. Caitlyn’s method
will instead give an exact answer for
the mean.
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HSC General Mathematics 2007
Quick Answers
Question 25
Question 27
(a) Many possible answers, such as:
A bag contains 3 red and 1 white
marble. If a marble is selected at
random the probability that it will be
red is three quarters.
(a) (i) Many answers, such as 4 m wide by
10 m long.
(ii) A = l( l − 6) .
(b) 58°.
€
(c) (i) 20% or 0.2 or .
1
5
(iii)
14
.
45
(iii) If the length is less than 6 m, then the
width would be negative.
(iv) 15 m by 9 m.
(vi) Company A would charge $50 000.
Company B would charge $48 600.
So Company B charges less.
€
(d) (i) His test 1 result has a z-score of 0.48.
His test 2 result has a z-score of 0.67.
€
Therefore he performed better in
test 2.
(b) (i) c = ( 4 × 6) + ( 365 × 5d ) .
(ii) $0.124
€
(ii) 126 students.
Question 26
(iii) No the total cost does not double
because of the initial $24 purchase
price.
(iv) 4660 hours.
(a) (i) 5 km/h.
(ii) 18 km.
Question 28
(iii) 236°.
(a) (i)
(b) (i) 9.1%
5
18
(ii) 75 cents.
(ii) $41 145.
€
(iii) $8443.50
⎧⎪ (1.06) −1⎫⎪
(c) Value of investment = 100⎨
⎬
⎪⎩ 0.06 ⎪⎭
Interest = $2139.23
(iii) He expects a loss of 25 cents.
(b) 20.784 cm2.
22
€
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(c) (i) 50.4 cm2.
(ii) 3500 cm2.