Section I
1. D
2. B
3. B
4. D
5. C
6. A
7. C
8. A
9. B
10. D
11. A
12. B
13. B
14. B
15. A
16. C
17. D
18. C
19. C
20. C
21. C
22. B
Section II
Question 23
(a) (i) 15 cars
(ii) 2000
(iii) Town 2 appears to be safer because it has a smaller area in the graph.
(b) (i) 13.5 sq m
(ii) 88 cubic m
(c) (i) 2/5
(ii) P
Question 24
(a) 24
(b) (i) r = √(A/4π)
(ii) 12.0 cm
(c) (i) $227963.68
(ii) $2036.32
(iii) $11204
(iv) $1823.71
(v) $254012.80
Question 25
(a) (i) 5 hours
(ii) This statement is not true. Just because a person does less homework, it does not necessarily mean that they watch more television. They may do other things such as play computer games or play sport, etc.
(b) (i) $57534
(ii) $8144.92
(iii) The different gradients represent each of the different tax rates in the tax system.
(c) (i) 17 km
(ii) 29°
(iii) 251°
(d) 0.07%
Question 26
(a) (i) Diagram
(ii) 0.04
(iii) 0.51
(iv) 0.49
(b) If data is divided into categories then it is a stratified sample and not a random sample.
(c) (i) $1320
(ii) $440
(iii) Antonia should use the declining balance method as she can claim more as tax deduction after the first year.
Question 27
(a) x = -2
(b) (i) Michelle's score in the first test was better than her result in the second.
(ii) 16%
(c) (i) Sonal
(ii) 4
(iii) Nupur was the more consistent competitor. Sonal had the better minimum time and better maximum time, and also the smallest range but Nupur had a smaller interquartile range which does not include any outlying values. Nupur also has a lower median value. Nupur's distribution is heavily positively skewed which suggests an outlying value.
(d) 37 months
Question 28
(a) (i) 8pm Friday
(ii) 417 knots
(iii) 178 tonnes
(b) (i) A = 8x - x^2
(ii) Area: 0, 7, 12, 15, 16, 15, 12, 7, 0
(iii) Graph
(iv) When x = 4, the area of the vegetable patch will be at a maximum.
1. D
2. B
3. B
4. D
5. C
6. A
7. C
8. A
9. B
10. D
11. A
12. B
13. B
14. B
15. A
16. C
17. D
18. C
19. C
20. C
21. C
22. B
Section II
Question 23
(a) (i) 15 cars
(ii) 2000
(iii) Town 2 appears to be safer because it has a smaller area in the graph.
(b) (i) 13.5 sq m
(ii) 88 cubic m
(c) (i) 2/5
(ii) P
Question 24
(a) 24
(b) (i) r = √(A/4π)
(ii) 12.0 cm
(c) (i) $227963.68
(ii) $2036.32
(iii) $11204
(iv) $1823.71
(v) $254012.80
Question 25
(a) (i) 5 hours
(ii) This statement is not true. Just because a person does less homework, it does not necessarily mean that they watch more television. They may do other things such as play computer games or play sport, etc.
(b) (i) $57534
(ii) $8144.92
(iii) The different gradients represent each of the different tax rates in the tax system.
(c) (i) 17 km
(ii) 29°
(iii) 251°
(d) 0.07%
Question 26
(a) (i) Diagram
(ii) 0.04
(iii) 0.51
(iv) 0.49
(b) If data is divided into categories then it is a stratified sample and not a random sample.
(c) (i) $1320
(ii) $440
(iii) Antonia should use the declining balance method as she can claim more as tax deduction after the first year.
Question 27
(a) x = -2
(b) (i) Michelle's score in the first test was better than her result in the second.
(ii) 16%
(c) (i) Sonal
(ii) 4
(iii) Nupur was the more consistent competitor. Sonal had the better minimum time and better maximum time, and also the smallest range but Nupur had a smaller interquartile range which does not include any outlying values. Nupur also has a lower median value. Nupur's distribution is heavily positively skewed which suggests an outlying value.
(d) 37 months
Question 28
(a) (i) 8pm Friday
(ii) 417 knots
(iii) 178 tonnes
(b) (i) A = 8x - x^2
(ii) Area: 0, 7, 12, 15, 16, 15, 12, 7, 0
(iii) Graph
(iv) When x = 4, the area of the vegetable patch will be at a maximum.
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