For those interested ...
Double checked a few of them. Let me know of any errors.
In any case, it's done now. Move on to the next exam or if you've finished, have a drink for me!
SECTION I
1. B
2. A
3. D
4. A
5. C
6. A
7. D
8. C
9. A
10. B
11. B
12. C
13. C
14. B
15. A
16. D
17. C
18. C
19. A
20. D
21. D
22. B
SECTION II
QUESTION 23
(a) (i) $5000
(ii) Rose's investment, by $2000
(iii) 1 year
(b) (i) 144 m3
(ii) 12 hours
(iii) 8000 litres
(c) (i) 45 crocodiles
(ii) 60 crocodiles
QUESTION 24
(a) (i) 11.4
(ii) Removing the outlier will decrease the mean but the median will stay the same.
(b) 3.6 sec
(c) (i) €480
(ii) The Australian dollar will now buy more Euros. The gradient of the line will increase.
(d) (i) The females that attend tend to be older than the males.
(ii) 64
(iii) 172.5
(iv) In the grouped frequency distribution table, the class centres are used as the ages and not the actual ages. From the stem-and-leaf plot, the actual ages are used.
QUESTION 25
(a) If two coins are tossed, the probability of obtaining at least one head is 3/4.
(b) 58 degrees
(c) (i) 1/5
(ii) diagram, probabilities are 5/10, 3/10, 2/10, then 4/9, 3/9, 2/9, 5/9, 2/9, 2/9, 5/9, 3/9, 1/9
(iii) 14/45
(d) (i) Test 2 mark is better as it is further from the mean. z-score for Test 1 is 0.48 and for Test 2 is 0.67.
(ii) 126 students
QUESTION 26
(a) (i) 5 km/h
(ii) 18 km
(iii) 236 degrees
(b) (i) 9.1%
(ii) $41145
(iii) $8443.50
(c) Total value = 100(1.06)21 + 100[ (1.06)21 – 1 / 0.06] = $4339.23
Interest = 4339.23 – 22 x 100 = $2139.23
QUESTION 27
(a) (i) Length 12 m, Width 6 m
(ii) A = l(l – 6)
(iii) If length is 6 then width is 0 which is not possible. If length is less than 6 then width is negative which is also not possible.
(iv) Length 15 m, width 9 m
(v) graph - two bits, horizontal line up to A = 150 then diagonal line.
(vi) Company B
(b) (i) C = 24 + 7300d
(ii) d = 0.031
(iii) Cost is $476.60 so does not double
(iv) 4660 hours
QUESTION 28
(a) (i) 5/18
(ii) +$0.75
(iii) Loss of 25 cents per game
(b) 22.784 cm2
(c) (i) 50.4 cm2
(ii) 3500 cm2
Double checked a few of them. Let me know of any errors.
In any case, it's done now. Move on to the next exam or if you've finished, have a drink for me!
SECTION I
1. B
2. A
3. D
4. A
5. C
6. A
7. D
8. C
9. A
10. B
11. B
12. C
13. C
14. B
15. A
16. D
17. C
18. C
19. A
20. D
21. D
22. B
SECTION II
QUESTION 23
(a) (i) $5000
(ii) Rose's investment, by $2000
(iii) 1 year
(b) (i) 144 m3
(ii) 12 hours
(iii) 8000 litres
(c) (i) 45 crocodiles
(ii) 60 crocodiles
QUESTION 24
(a) (i) 11.4
(ii) Removing the outlier will decrease the mean but the median will stay the same.
(b) 3.6 sec
(c) (i) €480
(ii) The Australian dollar will now buy more Euros. The gradient of the line will increase.
(d) (i) The females that attend tend to be older than the males.
(ii) 64
(iii) 172.5
(iv) In the grouped frequency distribution table, the class centres are used as the ages and not the actual ages. From the stem-and-leaf plot, the actual ages are used.
QUESTION 25
(a) If two coins are tossed, the probability of obtaining at least one head is 3/4.
(b) 58 degrees
(c) (i) 1/5
(ii) diagram, probabilities are 5/10, 3/10, 2/10, then 4/9, 3/9, 2/9, 5/9, 2/9, 2/9, 5/9, 3/9, 1/9
(iii) 14/45
(d) (i) Test 2 mark is better as it is further from the mean. z-score for Test 1 is 0.48 and for Test 2 is 0.67.
(ii) 126 students
QUESTION 26
(a) (i) 5 km/h
(ii) 18 km
(iii) 236 degrees
(b) (i) 9.1%
(ii) $41145
(iii) $8443.50
(c) Total value = 100(1.06)21 + 100[ (1.06)21 – 1 / 0.06] = $4339.23
Interest = 4339.23 – 22 x 100 = $2139.23
QUESTION 27
(a) (i) Length 12 m, Width 6 m
(ii) A = l(l – 6)
(iii) If length is 6 then width is 0 which is not possible. If length is less than 6 then width is negative which is also not possible.
(iv) Length 15 m, width 9 m
(v) graph - two bits, horizontal line up to A = 150 then diagonal line.
(vi) Company B
(b) (i) C = 24 + 7300d
(ii) d = 0.031
(iii) Cost is $476.60 so does not double
(iv) 4660 hours
QUESTION 28
(a) (i) 5/18
(ii) +$0.75
(iii) Loss of 25 cents per game
(b) 22.784 cm2
(c) (i) 50.4 cm2
(ii) 3500 cm2
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