Objective Response Bank

Year 12 General Mathematics

Objective Response Bank

Year 11 General Mathematics

Worked solutions

Earning moneyMain Menu
Solution / Criteria
1 / Let x be Abbey sales in a month
/ 1 Mark: C
2 / / 1 Mark: C
3 / / 1 Mark: C
4 / A:
B:
C: / 1 Mark: B
5 / / 1 Mark: C
6 / / 1 Mark: B
7 / / 1 Mark: D
8 / / 1 Mark: A
9 / / 1 Mark: A
10 / / 1 Mark: D
Investing moneyMain Menu
Solution / Criteria
11 / Let x be original price of the broken window
GST is $15. / 1 Mark: C
12 / / 1 Mark: B
13 / / 1 Mark: B
14 / Doubling the investment requires interest of $4000
/ 1 Mark: C
15 / The value of I from the graph when is $50 / 1 Mark: B
16 / / 1 Mark: D
17 / / 1 Mark: A
18 / / 1 Mark: B
19 / / 1 Mark: C
20 / / 1 Mark: D
TaxationMain Menu
Solution / Criteria
21 / / 1 Mark: D
22 / / 1 Mark: A
23 / / 1 Mark: B
24 / / 1 Mark: B
25 / / 1 Mark: A
26 / / 1 Mark: C
27 / / 1 Mark: D
28 / / 1 Mark: C
29 / / 1 Mark: B
30 / / 1 Mark: C
Statistics and society, data collection and samplingMain Menu
Solution / Criteria
31 / Median = 20.5, Mode = 22, Mean 19.6
Statement I is true and statement II is false / 1 Mark: D
32 / Type of motor vehicle is a name - categorical / 1 Mark: C
33 / Age is an exact number – discrete data. / 1 Mark: C
34 / / 1 Mark: D
35 / Bottles of milk are divided into a structured sample size.
Systematic / 1 Mark: D
36 / Yes or No is categorical data / 1 Mark: A
37 / Ten shoppers drawn from a box.
Each shopper has an equal chance of being selected / 1 Mark: C
38 / Sample is divided into categories (boys and girls)
Stratified sample / 1 Mark: C
39 / A: The age of a student – Discrete
B: The length of a playground. – Continuous
C: The colour of a wall – Categorical
D: The capacity of a swimming pool - Continuous / 1 Mark: C
40 / Primary source / 1 Mark: A
Displaying single data setsMain Menu
Solution / Criteria
41 / Class centre is 87 / 1 Mark: C
42 / Class / Frequency / Cumulative Frequency
80-84 / 2 / 2
85-89 / 4 / 6
90-94 / 3 / 9
95-99 / 6 / 15
/ 1 Mark: C
43 / Total number of marks is 200 / 1 Mark: D
44 / Mark / Frequency / Cumulative Frequency
10 / 50 / 50
20 / 25 / 75
30 / 25 / 100
40 / 0 / 100
50 / 100 / 200
/ 1 Mark: A
45 / / 1 Mark: B
46 / / 1 Mark: D
47 / / 1 Mark: D
48 / / 1 Mark: D
49 / / 1 Mark: C
50 / 12, 14, 15, 15, 16, 18, 20, 22, 28, 52
/ 1 Mark: A
Summary statisticsMain Menu
Solution / Criteria
51 / Mode is the score with the highest frequency.
Mode is 5 / 1 Mark: C
52 / $3.80, $4.40, $4.50, $4.80, $5.00, $5.30
/ 1 Mark: C
53 / There are 24 scores. Median is the average of the 12th and 13th score.
Median is 2. / 1 Mark: B
54 / Score / Frequency / fx
1 / 8 / 8
2 / 5 / 10
3 / 5 / 15
4 / 3 / 12
5 / 3 / 15
24 / 60
/ 1 Mark: C
55 / Population standard deviation is 4.525966748… or 4.5 / 1 Mark: A
56 / Mode is the score with the highest frequency.
Mode is 7 / 1 Mark: B
57 / / 1 Mark: B
58 / / 1 Mark: A
59 / Mode is the score with the highest frequency.
Mode is 5 / 1 Mark: C
60 / Population standard deviation is 1.581897595… or 1.58 / 1 Mark: C
Units of measurementMain Menu
Solution / Criteria
61 / . (3 significant figures) / 1 Mark: B
62 / Total parts = 2 + 3 = 5
/ 1 Mark: C
63 / . (2 significant figures) / 1 Mark: D
64 / / 1 Mark: B
65 / Smallest numbers have the lowest powers of ten.
, , / 1 Mark: A
66 / Total parts = 3 + 5 + 2 = 10
/ 1 Mark: C
67 /
/ 1 Mark: B
68 / / 1 Mark: D
69 / / 1 Mark: D
70 / / 1 Mark: D
Applications of area and volumeMain Menu
Solution / Criteria
71 / Triangular pyramid.
4 vertices, 4 faces and 6 edges. / 1 Mark: C
72 / / 1 Mark: D
73 / / 1 Mark: C
74 / / 1 Mark: B
75 / / 1 Mark: D
76 / / 1 Mark: B
77 / Slant height:
/ 1 Mark: A
78 / / 1 Mark: A
79 / / 1 Mark: D
80 / / 1 Mark: D
Similarity of two-dimensional figuresMain Menu
Solution / Criteria
81 / / 1 Mark: A
82 / Similar triangles are the same shape. / 1 Mark: A
83 / / 1 Mark: D
84 /
Rectangle B is similar to rectangle C
() / 1 Mark: C
85 / / 1 Mark: B
86 / / 1 Mark: D
87 / Corresponding sides are in the same proportion
/ 1 Mark: A
88 / / 1 Mark: C
89 / / 1 Mark: B
90 / / 1 Mark: B
Right-angled trianglesMain Menu
Solution / Criteria
91 / / 1 Mark: A
92 / / 1 Mark: B
93 / / 1 Mark: B
94 / / 1 Mark: A
95 / / 1 Mark: B
96 / / 1 Mark: C
97 / / 1 Mark: C
98 / / 1 Mark: B
99 / / 1 Mark: C
100 / / 1 Mark: C
The language of chanceMain Menu
Solution / Criteria
101 / Probability of is unlikely. / 1 Mark: B
102 / There are 7 days in the week.
/ 1 Mark: A
103 / Probability of 0.75 is likely / 1 Mark: C
104 / / 1 Mark: C
105 / / 1 Mark: D
106 / / 1 Mark: C
107 / Equally likely that a raffle ticket will win. / 1 Mark: B
108 / There are 6 months.
/ 1 Mark: A
109 / / 1 Mark: D
110 / / 1 Mark: D
Relative frequency and probabilityMain Menu
Solution / Criteria
111 / / 1 Mark: A
112 / / 1 Mark: C
113 / / 1 Mark: A
114 / Odd numbers end in 5, 7 or 9
/ 1 Mark: C
115 / / 1 Mark: B
116 / Even number or divisible by 5 is {2, 4, 5}
/ 1 Mark: C
117 / / 1 Mark: A
118 / / 1 Mark: A
119 / Not a consonant is {i, o}
/ 1 Mark: B
120 / / 1 Mark: C
Basic algebraic skillsMain Menu
Solution / Criteria
121 / / 1 Mark: A
122 / / 1 Mark: B
123 / / 1 Mark: B
124 / / 1 Mark: D
125 / Yellow balls purchased is 20 × 5 or 100.
White balls purchased is 400 – 100 or 300.
Boxes of white balls = / 1 Mark: D
126 / / 1 Mark: C
127 / / 1 Mark: D
128 / / 1 Mark: B
129 / / 1 Mark: C
130 / / 1 Mark: C
Modelling linear relationshipsMain Menu
Solution / Criteria
131 / Gradient is and y-intercept is 2 / 1 Mark: A
132 / / 1 Mark: C
133 / Gradient is 3 and y-intercept is .
Equation or / 1 Mark: A
134 / / 1 Mark: A
135 / y-intercept is +1 / 1 Mark: C
136 / satisfies both equations.
/ 1 Mark: B
137 / , y-intercept is 0
Equation of the line is / 1 Mark: C
138 / 30 cents is $0.30
Formula is / 1 Mark: B
139 / / 1 Mark: C
140 / Crosses the x-axis when

Point is (3, 0) / 1 Mark: B

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