All care is taken with these answers, but no responsibility for errors ... and all that stuff. I'll try to get a scan or digital version done soon.
Hope everyone did well!
Section I
1. B
2. B
3. D
4. A
5. D
6. C
7. D
8. B
9. C
10. C
11. B
12. C
13. C
14. A
15. A
16. D
17. A
18. C
19. B
20. A
21. D
22. A
Section II
Question 23
(a) (i) 57 square metres
(ii) 2.85 cubic metres
(iii) 12 bags
(iv) 8 metres
(b) (i) x + 115
(ii) $150
(c) 6.75 metres
Question 24
(a) (i) 15 km/h
(ii) February
(iii) January, February, March
(iv) Inverse relationship between mean wind speed and number of rain days per month.
(b) (i) 135°
(ii) 185°
(iii) 73° (Use cosine rule)
(c) (i) Between 1 and 2
(ii) 13.5%
Question 25
(a) (i) $2600
(ii) $1404
(b) (i) 6 ways
(ii) 1/9
(iii) 1/6
(c) (i) People who lied: 40, 10
People who did not lie: 20, 130
(ii) 170
(iii) 85%
(iv) 2/15
Question 26
(a) (i) 14%
(ii) 714
(iii) Lovely exponential graph
(iv) Approx 8.5 hours
(b) (i) 11°
(ii) (1) 1222 km by using nautical miles
1229 km by using arc length of a great circle
(2) Time taken is 44 hours, so trip is possible
Question 27
(a) (i) $1162.50
(ii) $129000
(iii) $36270
(b) (i) $414.00
(ii) 9 additional hours
(c) Exceeds goal by $319.57
Question 28
(a) (i) 32
(ii) needs to lose 8 kg
(b) (i) C = kb^3
(ii) k = 0.05
(iii) Felicity is incorrect. Cost increases by a factor of 8.
(c) (i) (170,55)
(ii) Draw a line parallel to AB which is one-third of the way toward C.
(iii) (1) 187.5 cm
(2) Very short people (<75 cm) will have a predicted weight which is negative.
Hope everyone did well!
Section I
1. B
2. B
3. D
4. A
5. D
6. C
7. D
8. B
9. C
10. C
11. B
12. C
13. C
14. A
15. A
16. D
17. A
18. C
19. B
20. A
21. D
22. A
Section II
Question 23
(a) (i) 57 square metres
(ii) 2.85 cubic metres
(iii) 12 bags
(iv) 8 metres
(b) (i) x + 115
(ii) $150
(c) 6.75 metres
Question 24
(a) (i) 15 km/h
(ii) February
(iii) January, February, March
(iv) Inverse relationship between mean wind speed and number of rain days per month.
(b) (i) 135°
(ii) 185°
(iii) 73° (Use cosine rule)
(c) (i) Between 1 and 2
(ii) 13.5%
Question 25
(a) (i) $2600
(ii) $1404
(b) (i) 6 ways
(ii) 1/9
(iii) 1/6
(c) (i) People who lied: 40, 10
People who did not lie: 20, 130
(ii) 170
(iii) 85%
(iv) 2/15
Question 26
(a) (i) 14%
(ii) 714
(iii) Lovely exponential graph
(iv) Approx 8.5 hours
(b) (i) 11°
(ii) (1) 1222 km by using nautical miles
1229 km by using arc length of a great circle
(2) Time taken is 44 hours, so trip is possible
Question 27
(a) (i) $1162.50
(ii) $129000
(iii) $36270
(b) (i) $414.00
(ii) 9 additional hours
(c) Exceeds goal by $319.57
Question 28
(a) (i) 32
(ii) needs to lose 8 kg
(b) (i) C = kb^3
(ii) k = 0.05
(iii) Felicity is incorrect. Cost increases by a factor of 8.
(c) (i) (170,55)
(ii) Draw a line parallel to AB which is one-third of the way toward C.
(iii) (1) 187.5 cm
(2) Very short people (<75 cm) will have a predicted weight which is negative.
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