2008 GENERAL MATHS HSC EXAM
SECTION I
1. A
2. C
3. A
4. D
5. B
6. B
7. D
8. C
9. A
10. D
11. B
12. A
13. C
14. B
15. B
16. D
17. A
18. A
19. B
20. D
21. B
22. C
SECTION II
QUESTION 23
(a) (i) Feb, Mar, Nov or Dec
(ii) Nov
(b) 0.4%
(c) (i) 20.625 mL
(ii) 3.9 mL/min
(d) x = 5
(e) 175 people
(f) 76%
QUESTION 24
(a) (i) $24445.20
(ii) Method 2
(b) (i) 60
(ii) 3/5
(iii) 24
(iv) 1/15
(c) $335 138.91
QUESTION 25
(a) (i) a = 6
(ii) 8 years
(b) (i) Probabilities on 2nd stage: 11/29, 18/28, 12/29, 17/29
(ii) 73/145
(c) (i) 41.04 cm x 21 cm x 15 cm
(ii) 506 cubic centimetres
QUESTION 26
(a) (i) 68
(ii) 6/25
(iii) Movie will not be a success as only 58% of critics liked the movie.
(b) (i) 7/400
(ii) Negatively skewed, clustered around ages 61-75
(c) Lose $22.50
(d) (i) 600 000
(ii) 35-39
(iii) 1 450 000
(iv) My first answer was: Those 75-79 would have been born during the Great Depression in the early 1930s.
A better answer is 80+ can include ages from 80 to 100 or more, so there will be more people in that range.
QUESTION 27
(a) (i) 8377 km (or 8334 km)
(ii) 9 hours
(iii) 12 pm Wednesday
(b) (ii) $784321.20
(iii) She will take 252 months, or 21 years, so will not be able to pay loan off in 20 years.
(c) $2800
QUESTION 28
(a) (i) 1
(ii) (1) 155 cm (2) 84%
(iii) 163 cm
(iv) 55.8 kg
(v) (1) Height increases by 6 cm per year (2) Around age 12, girls start "growth spurt".
(b) (i) A = h/3[8a + 2b] = 2h/3[4a + b]
(ii) Decreases by 8 m
SECTION I
1. A
2. C
3. A
4. D
5. B
6. B
7. D
8. C
9. A
10. D
11. B
12. A
13. C
14. B
15. B
16. D
17. A
18. A
19. B
20. D
21. B
22. C
SECTION II
QUESTION 23
(a) (i) Feb, Mar, Nov or Dec
(ii) Nov
(b) 0.4%
(c) (i) 20.625 mL
(ii) 3.9 mL/min
(d) x = 5
(e) 175 people
(f) 76%
QUESTION 24
(a) (i) $24445.20
(ii) Method 2
(b) (i) 60
(ii) 3/5
(iii) 24
(iv) 1/15
(c) $335 138.91
QUESTION 25
(a) (i) a = 6
(ii) 8 years
(b) (i) Probabilities on 2nd stage: 11/29, 18/28, 12/29, 17/29
(ii) 73/145
(c) (i) 41.04 cm x 21 cm x 15 cm
(ii) 506 cubic centimetres
QUESTION 26
(a) (i) 68
(ii) 6/25
(iii) Movie will not be a success as only 58% of critics liked the movie.
(b) (i) 7/400
(ii) Negatively skewed, clustered around ages 61-75
(c) Lose $22.50
(d) (i) 600 000
(ii) 35-39
(iii) 1 450 000
(iv) My first answer was: Those 75-79 would have been born during the Great Depression in the early 1930s.
A better answer is 80+ can include ages from 80 to 100 or more, so there will be more people in that range.
QUESTION 27
(a) (i) 8377 km (or 8334 km)
(ii) 9 hours
(iii) 12 pm Wednesday
(b) (ii) $784321.20
(iii) She will take 252 months, or 21 years, so will not be able to pay loan off in 20 years.
(c) $2800
QUESTION 28
(a) (i) 1
(ii) (1) 155 cm (2) 84%
(iii) 163 cm
(iv) 55.8 kg
(v) (1) Height increases by 6 cm per year (2) Around age 12, girls start "growth spurt".
(b) (i) A = h/3[8a + 2b] = 2h/3[4a + b]
(ii) Decreases by 8 m
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