Measurement, STD2 M1 2010 HSC 28b
Moivre’s manufacturing company produces cans of Magic Beans. The can has a diameter of 10 cm and a height of 10 cm.
- Cans are packed in boxes that are rectangular prisms with dimensions 30 cm × 40 cm × 60 cm.
What is the maximum number of cans that can be packed into one of these boxes? (1 mark)
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- The shaded label on the can shown wraps all the way around the can with no overlap. What area of paper is needed to make the labels for all the cans in this box when the box is full? (2 marks)
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- The company is considering producing larger cans. Monica says if you double the diameter of the can this will double the volume.
Is Monica correct? Justify your answer with suitable calculations. (2 marks)
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The company wants to produce a can with a volume of 1570 cm³, using the least amount of metal. Monica is given the job of determining the dimensions of the can to be produced. She considers the following graphs.
- What radius and height should Monica recommend that the company use to minimise the amount of metal required to produce these cans? Justify your choice of dimensions with reference to the graphs and/or suitable calculations. (2 marks)
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Financial Maths, STD2 F4 2010 HSC 28a
The table shows monthly home loan repayments with interest rate changes from February to October 2009.
- What is the change in monthly repayments on a $250 000 loan from February 2009 to April 2009? (1 mark)
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- Xiang wants to borrow $307 000 to buy a house.
Xiang’s bank approves loans for customers if their loan repayments are no more than 30% of their monthly gross salary.
Xiang’s monthly gross salary is $6500.
If she had applied for the loan in October 2009, would her bank have approved her loan?
Justify your answer with suitable calculations. (3 marks)
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- Jack took out a loan at the same time and for the same amount as Xiang.
Graphs of their loan balances are shown.
Identify TWO differences between the graphs and provide a possible explanation for each difference, making reference to interest rates and/or loan repayments. (2 marks)
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Algebra, STD2 A2 2010 HSC 27c
The graph shows tax payable against taxable income, in thousands of dollars.
- Use the graph to find the tax payable on a taxable income of $21 000. (1 mark)
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- Use suitable points from the graph to show that the gradient of the section of the graph marked `A` is `1/3`. (1 mark)
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- How much of each dollar earned between $21 000 and $39 000 is payable in tax? (1 mark)
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- Write an equation that could be used to calculate the tax payable, `T`, in terms of the taxable income, `I`, for taxable incomes between $21 000 and $39 000. (2 marks)
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Statistics, STD2 S1 2010 HSC 27b
The graphs show the distribution of the ages of children in Numbertown in 2000 and 2010.
- In 2000 there were 1750 children aged 0–18 years.
How many children were aged 12–18 years in 2000? (1 mark)
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- The number of children aged 12–18 years is the same in both 2000 and 2010.
How many children aged 0–18 years are there in 2010? (1 mark)
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- Identify TWO changes in the distribution of ages between 2000 and 2010. In your answer, refer to measures of location or spread or the shape of the distributions. (2 marks)
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- What would be ONE possible implication for government planning, as a consequence of this change in the distribution of ages? (1 mark)
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Algebra, 2UG 2010 HSC 27a
Fully simplify `(4x^2)/(3y) -: (xy)/5`. (3 marks)
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Probability, 2UG 2010 HSC 26c
Tai plays a game of chance with the following outcomes.
• `1/5` chance of winning `$10`
• `1/2` chance of winning `$3`
• `3/10` chance of losing `$8`
The game has a `$2` entry fee.
What is his financial expectation from this game? (2 marks)
Statistics, STD2 S1 2010 HSC 26b
A new shopping centre has opened near a primary school. A survey is conducted to determine the number of motor vehicles that pass the school each afternoon between 2.30 pm and 4.00 pm.
The results for 60 days have been recorded in the table and are displayed in the cumulative frequency histogram.
- Find the value of Χ in the table. (1 mark)
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- On the cumulative frequency histogram above, draw a cumulative frequency polygon (ogive) for this data. (1 mark)
- Use your graph to determine the median. Show, by drawing lines on your graph, how you arrived at your answer. (1 mark)
- Prior to the opening of the new shopping centre, the median number of motor vehicles passing the school between 2.30 pm and 4.00 pm was 57 vehicles per day.
What problem could arise from the change in the median number of motor vehicles passing the school before and after the opening of the new shopping centre?
Briefly recommend a solution to this problem. (2 marks)
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Probability, STD2 S2 2010 HSC 26a
A design of numberplates has a two-digit number, two letters and then another two-digit number, for example
- How many different numberplates are possible using this design? (1 mark)
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Jo can order a numberplate with ‘JO’ in the middle but will have to have randomly selected numbers on either side.
Jo’s birthday is 30 December 1992, so she would like a numberplate with either
- What is the probability that Jo is issued with one of the numberplates she would like? (2 marks)
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Measurement, STD2 M7 2013 HSC 30c
Joel mixes petrol and oil in the ratio 40 : 1 to make fuel for his leaf blower.
- Joel pours 5 litres of petrol into an empty container to make fuel for his leaf blower.
How much oil should he add to the petrol to ensure that the fuel is in the correct ratio? (1 mark)
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- Joel has 4.1 litres of fuel left in his container after filling his leaf blower.
He wishes to use this fuel in his lawnmower. However, his lawnmower requires the petrol and oil to be mixed in the ratio 25 : 1.
How much oil should he add to the container so that the fuel is in the correct ratio for his lawnmower? (3 marks)
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Probability, STD2 S2 2013 HSC 30b
In a class there are 15 girls (G) and 7 boys (B). Two students are chosen at random to be class representatives.
Algebra, STD2 A4 2013 HSC 30a
Wind turbines, such as those shown, are used to generate power.
In theory, the power that could be generated by a wind turbine is modelled using the equation
`T = 20\ 000w^3`
where | `T` is the theoretical power generated, in watts |
`w` is the speed of the wind, in metres per second. |
- Using this equation, what is the theoretical power generated by a wind turbine if the wind speed is 7.3 m/s ? (1 mark)
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In practice, the actual power generated by a wind turbine is only 40% of the theoretical power.
- If `A` is the actual power generated, in watts, write an equation for `A` in terms of `w`. (1 mark)
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The graph shows both the theoretical power generated and the actual power generated by a particular wind turbine.
- Using the graph, or otherwise, find the difference between the theoretical power and the actual power generated when the wind speed is 9 m/s. (1 mark)
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A particular farm requires at least 4.4 million watts of actual power in order to be self-sufficient.
- What is the minimum wind speed required for the farm to be self-sufficient? (1 mark)
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A more accurate formula to calculate the power (`P`) generated by a wind turbine is
`P = 0.61 xx pi xx r^2 × w^3`
where | `r` is the length of each blade, in metres |
`w` is the speed of the wind, in metres per second. |
Each blade of a particular wind turbine has a length of 43 metres.The turbine operates at a wind speed of 8 m/s.
- Using the formula above, if the wind speed increased by 10%, what would be the percentage increase in the power generated by this wind turbine? (3 marks)
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Measurement, STD2 M6 2010 HSC 26d
Probability, 2UG 2013 HSC 29d
Probability, STD2 S2 2011 HSC 24b
A die was rolled 72 times. The results for this experiment are shown in the table.
\begin{array} {|c|c|}
\hline
\rule{0pt}{2.5ex} \textit{Number obtained} \rule[-1ex]{0pt}{0pt} & \textit{Frequency} \\
\hline
\rule{0pt}{2.5ex} \ 1 \rule[-1ex]{0pt}{0pt} & 16 \\
\hline
\rule{0pt}{2.5ex} \ 2 \rule[-1ex]{0pt}{0pt} & 11 \\
\hline
\rule{0pt}{2.5ex} \ 3 \rule[-1ex]{0pt}{0pt} & \textbf{A} \\
\hline
\rule{0pt}{2.5ex} \ 4 \rule[-1ex]{0pt}{0pt} & 8 \\
\hline
\rule{0pt}{2.5ex} \ 5 \rule[-1ex]{0pt}{0pt} & 12 \\
\hline
\rule{0pt}{2.5ex} \ 6 \rule[-1ex]{0pt}{0pt} & 15 \\
\hline
\end{array}
- Find the value of `A`. (1 mark)
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- What was the relative frequency of obtaining a 4. (1 mark)
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- If the die was unbiased, which number was obtained the expected number of times? (1 mark)
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Algebra, STD2 A2 2011 HSC 23b
Sticks were used to create the following pattern.
The number of sticks used is recorded in the table.
\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex} \text{Shape $(S)$} \rule[-1ex]{0pt}{0pt} & \;\;\; 1 \;\;\; & \;\;\; 2 \;\;\; & \;\;\; 3 \;\;\; \\
\hline
\rule{0pt}{2.5ex} \text{Number of sticks $(N)$}\; \rule[-1ex]{0pt}{0pt} & \;\;\; 5 \;\;\; & \;\;\; 8 \;\;\; & \;\;\; 11 \;\;\; \\
\hline
\end{array}
- Draw Shape 4 of this pattern. (1 mark)
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- How many sticks would be required for Shape 100? (1 mark)
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- Is it possible to create a shape in this pattern using exactly 543 sticks?
Show suitable calculations to support your answer. (2 marks)
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Financial Maths, STD2 F4 2011 HSC 22 MC
Algebra, STD2 A4 2011 HSC 20 MC
A function centre hosts events for up to 500 people. The cost `C`, in dollars, for the centre
to host an event, where `x` people attend, is given by:
`C = 10\ 000 + 50x`
The centre charges $100 per person. Its income `I`, in dollars, is given by:
`I = 100x`
How much greater is the income of the function centre when 500 people attend an event, than its income at the breakeven point?
- `$15\ 000`
- `$20\ 000`
- `$30\ 000`
- `$40\ 000`
Financial Maths, STD2 F1 2011 HSC 19 MC
Simon is a mechanic who receives a normal rate of pay of $22.35 per hour for a 40-hour
week.
When he is needed for emergency call-outs he is paid a special allowance of $150 for that
week. Additionally, every time he is called out to an emergency he is paid for a minimum
of 4 hours at double time.
In the week beginning 2 February, 2011 Simon worked 40 hours normal time and was
needed for emergency call-outs. His emergency call-out log book for the week is shown.
What was Simon’s total pay for that week?
- $1189.28
- $1296.30
- $1334.55
- $1446.30
Measurement, 2UG 2011 HSC 24c
A ship sails 6 km from `A` to `B` on a bearing of 121°. It then sails 9 km to `C`. The
size of angle `ABC` is 114°.
Copy the diagram into your writing booklet and show all the information on it.
- What is the bearing of `C` from `B`? (1 mark)
- Find the distance `AC`. Give your answer correct to the nearest kilometre. (2 marks)
- What is the bearing of `A` from `C`? Give your answer correct to the nearest degree. (3 marks)
Financial Maths, STD2 F5 2009 HSC 27a
The table shows the future value of a $1 annuity at different interest rates over different numbers of time periods.
- What would be the future value of a $5000 per year annuity at 3% per annum for 6 years, with interest compounding yearly? (1 mark)
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- What is the value of an annuity that would provide a future value of $407100 after 7 years at 5% per annum compound interest? (1 mark)
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- An annuity of $1000 per quarter is invested at 4% per annum, compounded quarterly for 2 years. What will be the amount of interest earned? (3 marks)
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Algebra, STD2 A4 2009 HSC 28c
The height above the ground, in metres, of a person’s eyes varies directly with the square of the distance, in kilometres, that the person can see to the horizon.
A person whose eyes are 1.6 m above the ground can see 4.5 km out to sea.
How high above the ground, in metres, would a person’s eyes need to be to see an island that is 15 km out to sea? Give your answer correct to one decimal place. (3 marks)
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Statistics, STD2 S4 2009 HSC 28b
The height and mass of a child are measured and recorded over its first two years.
\begin{array} {|l|c|c|}
\hline \rule{0pt}{2.5ex} \text{Height (cm), } H \rule[-1ex]{0pt}{0pt} & \text{45} & \text{50} & \text{55} & \text{60} & \text{65} & \text{70} & \text{75} & \text{80} \\
\hline \rule{0pt}{2.5ex} \text{Mass (kg), } M \rule[-1ex]{0pt}{0pt} & \text{2.3} & \text{3.8} & \text{4.7} & \text{6.2} & \text{7.1} & \text{7.8} & \text{8.8} & \text{10.2} \\
\hline
\end{array}
This information is displayed in a scatter graph.
- Describe the correlation between the height and mass of this child, as shown in the graph. (1 mark)
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- A line of best fit has been drawn on the graph.
Find the equation of this line. (2 marks)
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Algebra, STD2 A4 2009 HSC 28a
Anjali is investigating stopping distances for a car travelling at different speeds. To model this she uses the equation
`d = 0.01s^2+ 0.7s`,
where `d` is the stopping distance in metres and `s` is the car’s speed in km/h.
The graph of this equation is drawn below.
- Anjali knows that only part of this curve applies to her model for stopping distances.
In your writing booklet, using a set of axes, sketch the part of this curve that applies for stopping distances. (1 mark)
- What is the difference between the stopping distances in a school zone when travelling at a speed of 40 km/h and when travelling at a speed of 70 km/h? (2 marks)
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Probability, STD2 S2 2009 HSC 27c
In each of three raffles, 100 tickets are sold and one prize is awarded.
Mary buys two tickets in one raffle. Jane buys one ticket in each of the other two raffles.
Determine who has the better chance of winning at least one prize. Justify your response using probability calculations. (4 marks)
Measurement, STD2 M6 2009 HSC 27b
A yacht race follows the triangular course shown in the diagram. The course from `P` to `Q` is 1.8 km on a true bearing of 058°.
At `Q` the course changes direction. The course from `Q` to `R` is 2.7 km and `/_PQR = 74^@`.
- What is the bearing of `R` from `Q`? (1 mark)
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- What is the distance from `R` to `P`? (2 marks)
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- The area inside this triangular course is set as a ‘no-go’ zone for other boats while the race is on.
What is the area of this ‘no-go’ zone? (1 mark)
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Measurement, STD2 M2 2009 HSC 26b
John lives in Denver and wants to ring a friend in Osaka.
- In Denver it is 9 pm Monday. Given Osaka has a UTC of +9 and Denver has a UTC of –7, what time and day is it in Osaka then? (1 mark)
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- John’s friend in Osaka sent him a text message which happened to take 14 hours to reach him. It was sent at 10 am Thursday, Osaka time.
What was the time and day in Denver when John received the text? (2 marks)
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Statistics, STD2 S1 2009 HSC 26a
In a school, boys and girls were surveyed about the time they usually spend on the internet over a weekend. These results were displayed in box-and-whisker plots, as shown below.
- Find the interquartile range for boys. (1 mark)
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- What percentage of girls usually spend 5 or less hours on the internet over a weekend? (1 mark)
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- Jenny said that the graph shows that the same number of boys as girls usually spend between 5 and 6 hours on the internet over a weekend.
Under what circumstances would this statement be true? (1 mark)
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Statistics, STD2 S5 2009 HSC 25d
In Broken Hill, the maximum temperature for each day has been recorded. The mean of these maximum temperatures during spring is 25.8°C, and their standard deviation is 4.2° C.
- What temperature has a `z`-score of –1? (1 mark)
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- What percentage of spring days in Broken Hill would have maximum temperatures between 21.6° C and 38.4°C?
You may assume that these maximum temperatures are normally distributed and that
-
• 68% of maximum temperatures have `z`-scores between –1 and 1
• 95% of maximum temperatures have `z`-scores between –2 and 2
• 99.7% of maximum temperatures have `z`-scores between –3 and 3. (3 marks)
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Measurement, 2UG 2009 HSC 25c
There is a lake inside the rectangular grass picnic area `ABCD`, as shown in the diagram.
- Use Simpson’s Rule to find the approximate area of the lake’s surface. (3 marks)
- The lake is 60 cm deep. Bozo the clown thinks he can empty the lake using a four-litre bucket.
- How many times would he have to fill his bucket from the lake in order to empty the lake? (Note that 1 m³ = 1000 L)`. (2 marks)
Statistics, STD2 S5 2013 HSC 29b
Ali’s class sits two Geography tests. The results of her class on the first Geography test are shown.
`58,\ \ 74,\ \ 65,\ \ 66,\ \ 73,\ \ 71,\ \ 72,\ \ 74,\ \ 62,\ \ 70`
The mean was 68.5 for the first test.
- Calculate the standard deviation for the first test. Give your answer correct to one decimal place. (1 mark)
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- On the second Geography test, the mean for the class was 74.4 and the standard deviation was 12.4.
Ali scored 62 on the first test. Calculate the mark that she needed to obtain in the second test to ensure that her performance relative to the class was maintained. (3 marks)
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Algebra, STD2 A1 2013 HSC 29a
Sarah tried to solve this equation and made a mistake in Line 2.
`(W+4)/3-(2W-1)/5` | `=1` | `text(... Line 1)` |
`5W+ 20-6W-3` | `=15` | `text(... Line 2)` |
`17-W` | `=15` | `text(... Line 3)` |
`W` | `=2` | `text(... Line 4)` |
Copy the equation in Line 1 and continue your solution to solve this equation for `W`.
Show all lines of working. (2 marks)
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Measurement, 2UG 2013 HSC 28c
A ship sails due South from Channel-Port-aux-Basques, Canada, `47^@ text(N)\ 59^@ text(W)` to Barbados, `13^@ text(N)\ 59^@ text(W)`.
How far did the ship sail, to the nearest kilometre? Assume that the radius of Earth is 6400 km. (2 marks)
Statistics, STD2 S4 2013 HSC 28b
Ahmed collected data on the age (`a`) and height (`h`) of males aged 11 to 16 years.
He created a scatterplot of the data and constructed a line of best fit to model the relationship between the age and height of males.
- Determine the gradient of the line of best fit shown on the graph. (1 mark)
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- Explain the meaning of the gradient in the context of the data. (1 mark)
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- Determine the equation of the line of best fit shown on the graph. (2 marks)
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- Use the line of best fit to predict the height of a typical 17-year-old male. (1 mark)
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- Why would this model not be useful for predicting the height of a typical 45-year-old male? (1 mark)
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Measurement, STD2 M6 2013 HSC 28a
Measurement, STD2 M1 2013 HSC 27d
A rectangular wooden chopping board is advertised as being 17 cm by 25 cm, with each side measured to the nearest centimetre.
- Calculate the percentage error in the measurement of the longer side. (1 mark)
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- Between what lower and upper limits does the actual area of the top of the chopping board lie? (2 marks)
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Financial Maths, STD2 F1 2013 HSC 27b
The table shows the tax payable to the Australian Taxation Office for different taxable incomes.
Peta has a gross annual salary of $84 000. She has tax deductions of $1000 for work-related travel and $500 for stationery. The Medicare levy that she pays is calculated at 1.5% of her taxable income.
Peta has already paid $18 500 in tax.
Will Peta receive a tax refund or will she owe money to the Australian Taxation Office? Justify your answer by calculating the refund or amount owed. (4 marks)
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Statistics, STD2 S1 2013 HSC 26f
Jason travels to work by car on all five days of his working week, leaving home at 7 am each day. He compares his travel times using roads without tolls and roads with tolls over a period of 12 working weeks.
He records his travel times (in minutes) in a back-to-back stem-and-leaf plot.
- What is the modal travel time when he uses roads without tolls? (1 mark)
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- What is the median travel time when he uses roads without tolls? (1 mark)
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- Describe how the two data sets differ in terms of the spread and skewness of their distributions. (2 marks)
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Financial Maths, STD2 F4 2013 HSC 26e
Measurement, STD2 M1 2013 HSC 26d
Probability, STD2 S2 2013 HSC 26c
The probability that Michael will score more than 100 points in a game of bowling is `31/40`.
- A commentator states that the probability that Michael will score less than 100 points in a game of bowling is `9/40`.
Is the commentator correct? Give a reason for your answer. (1 mark)
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- Michael plays two games of bowling. What is the probability that he scores more than 100 points in the first game and then again in the second game? (1 mark)
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Measurement, STD2 M6 2010 HSC 24d
The base of a lighthouse, `D`, is at the top of a cliff 168 metres above sea level. The angle of depression from `D` to a boat at `C` is 28°. The boat heads towards the base of the cliff, `A`, and stops at `B`. The distance `AB` is 126 metres.
- What is the angle of depression from `D` to `B`, correct to the nearest degree? (3 marks)
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- How far did the boat travel from `C` to `B`, correct to the nearest metre? (2 marks)
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Statistics, STD2 S5 2010 HSC 24c
The marks in a class test are normally distributed. The mean is 100 and the standard deviation is 10.
- Jason's mark is 115. What is his `z`-score? (1 mark)
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- Mary has a `z`-score of 0. What mark did she achieve in the test? (1 mark)
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- What percentage of marks lie between 80 and 110?
You may assume the following:
• 68% of marks have a `z`-score between –1 and 1
• 95% of marks have a `z`-score between –2 and 2
• 99.7% of marks have a `z`-score between –3 and 3. (2 marks)
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Algebra, STD2 A4 2010 HSC 24b
Ashley makes picture frames as part of her business. To calculate the cost, `C`, in dollars, of making `x` frames, she uses the equation `C=40+10x`.
She sells the frames for $20 each and determines her income, `I`, in dollars, using the equation `I=20x`.
Use the graph to solve the two equations simultaneously for `x` and explain the significance of this solution for Ashley's business. (2 marks)
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Probability, STD2 S2 2010 HSC 20 MC
Lou and Ali are on a fitness program for one month. The probability that Lou will finish the program successfully is 0.7 while the probability that Ali will finish successfully is 0.6. The probability tree shows this information
What is the probability that only one of them will be successful ?
- `0.18`
- `0.28`
- `0.42`
- `0.46`
Statistics, STD2 S1 2010 HSC 16 MC
Financial Maths, STD2 F4 2009 HSC 24e
Jay bought a computer for $3600. His friend Julie said that all computers are worth nothing (i.e. the value is $0) after 3 years.
- Find the amount that the computer would depreciate each year to be worth nothing after 3 years, if the straight line method of depreciation is used. (1 mark)
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- Explain why the computer would never be worth nothing if the declining balance method of depreciation is used, with 30% per annum rate of depreciation. Use suitable calculations to support your answer. (2 marks)
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Algebra, STD2 A2 2009 HSC 24d
A factory makes boots and sandals. In any week
• the total number of pairs of boots and sandals that are made is 200
• the maximum number of pairs of boots made is 120
• the maximum number of pairs of sandals made is 150.
The factory manager has drawn a graph to show the numbers of pairs of boots (`x`) and sandals (`y`) that can be made.
- Find the equation of the line `AD`. (1 mark)
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- Explain why this line is only relevant between `B` and `C` for this factory. (1 mark)
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- The profit per week, `$P`, can be found by using the equation `P = 24x + 15y`.
Compare the profits at `B` and `C`. (2 marks)
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Probability, STD2 S2 2009 HSC 23b
A personal identification number (PIN) is made up of four digits. An example of a PIN is
- When all ten digits are available for use, how many different PINs are possible? (1 mark)
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- Rhys has forgotten his four-digit PIN, but knows that the first digit is either 5 or 6.
- What is the probability that Rhys will correctly guess his PIN in one attempt? (1 mark)
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Measurement, STD2 M6 2009 HSC 23a
The point `A` is 25 m from the base of a building. The angle of elevation from `A` to the top of the building is 38°.
- Show that the height of the building is approximately 19.5 m. (1 mark)
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- A car is parked 62 m from the base of the building.
What is the angle of depression from the top of the building to the car?
Give your answer to the nearest minute. (2 marks)
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Measurement, STD2 M6 2009 HSC 22 MC
Financial Maths, STD2 F1 2009 HSC 20 MC
Lou bought a plasma TV which was priced at $3499. He paid $1000 deposit and got a loan for the balance that was paid off by 24 monthly instalments of $135.36.
What simple interest rate per annum, to the nearest percent, was charged on his loan?
- 11%
- 15%
- 30%
- 46%
Algebra, STD2 A1 2009 HSC 16 MC
Algebra, STD2 A2 2009 HSC 14 MC
If `A = 6x + 10`, and `x` is increased by 2, what will be the corresponding increase in `A` ?
- `2x`
- `6x`
- `2`
- `12`
Algebra, STD2 A2 2009 HSC 13 MC
Probability, 2UG 2009 HSC 7 MC
Two people are to be selected from a group of four people to form a committee.
How many different committees can be formed?
(A) `6`
(B) `8`
(C) `12`
(D) `16`
Algebra, STD2 A1 2011 HSC 21 MC
A train departs from Town A at 3.00 pm to travel to Town B. Its average speed for the
journey is 90 km/h, and it arrives at 5.00 pm. A second train departs from Town A at
3.10 pm and arrives at Town B at 4.30 pm.
What is the average speed of the second train?
- 135 km/h
- 150 km/h
- 216 km/h
- 240 km/h
Algebra, STD2 A1 2011 HSC 18 MC
Which of the following correctly expresses `a` as the subject of `s= ut+1/2at^2 `?
- `a=(2(s-ut))/t^2`
- `a=(2s-ut)/t^2`
- `a=(1/2(s-ut))/t^2`
- `a=(1/2s-ut)/t^2`
Measurement, STD2 M1 2010 HSC 17 MC
During a flood 1.5 hectares of land was covered by water to a depth of 17 cm.
How many kilolitres of water covered the land? (1 hectare = 10 000 m²)
- 2.55 kL
- 2550 kL
- 255 000 kL
- 2 550 000 kL
Algebra, STD2 A4 2010 HSC 13 MC
The number of hours that it takes for a block of ice to melt varies inversely with the temperature. At 30°C it takes 8 hours for a block of ice to melt.
How long will it take the same size block of ice to melt at 12°C?
- 3.2 hours
- 20 hours
- 26 hours
- 45 hours