Simplify \(\left(2 k^3\right)^2\). (1 mark)
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Simplify \(\left(2 k^3\right)^2\). (1 mark)
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\(4 k^6\)
| \(\left(2 k^3\right)^2\) | \(=2^2 \times\left(k^3\right)^2\) |
| \(=4 k^6\) |
Jerico is the manager of a weekend market in which there are 220 stalls for rent. From past experience, Jerico knows that if he charges \(d\) dollars to rent a stall. then the number of stalls, \(s\), that will be rented is given by:
\(s=220-4d\)
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\begin{array} {|c|c|c|}
\hline
\rule{0pt}{2.5ex} \quad d\quad \rule[-1ex]{0pt}{0pt} & \rule{0pt}{2.5ex} \quad 10\quad\rule[-1ex]{0pt}{0pt} & \rule{0pt}{2.5ex} \quad 30\quad & \rule{0pt}{2.5ex} \quad 50\quad \\
\hline
\rule{0pt}{2.5ex} \quad s\quad \rule[-1ex]{0pt}{0pt} & \ & \ & \\
\hline
\end{array}
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a. \(190\ \text{stalls will be rented}\)
b.
\begin{array} {|c|c|c|}
\hline
\rule{0pt}{2.5ex} \quad d\quad \rule[-1ex]{0pt}{0pt} & \rule{0pt}{2.5ex} \quad 10\quad\rule[-1ex]{0pt}{0pt} & \rule{0pt}{2.5ex} \quad 30\quad & \rule{0pt}{2.5ex} \quad 50\quad \\
\hline
\rule{0pt}{2.5ex} \quad s\quad \rule[-1ex]{0pt}{0pt} & 180 \ & 100 \ & 20 \\
\hline
\end{array}
c.
d. \(\text{When}\ d=60, s=220-4\times 60=-20\)
\(\therefore\ \text{It does not make sense to charge }$60\ \text{ per stall}\)
\(\text{as you cannot have a negative number of stalls.}\)
| a. | \(s\) | \(=220-4d\) |
| \(=220-4\times 7.50\) | ||
| \(=190\) |
\(190\ \text{stalls will be rented}\)
b.
\begin{array} {|c|c|c|}
\hline
\rule{0pt}{2.5ex} \quad d\quad \rule[-1ex]{0pt}{0pt} & \rule{0pt}{2.5ex} \quad 10\quad\rule[-1ex]{0pt}{0pt} & \rule{0pt}{2.5ex} \quad 30\quad & \rule{0pt}{2.5ex} \quad 50\quad \\
\hline
\rule{0pt}{2.5ex} \quad s\quad \rule[-1ex]{0pt}{0pt} & 180 \ & 100 \ & 20 \\
\hline
\end{array}
c.
d. \(\text{When}\ d=60, s=220-4\times 60=-20\)
\(\therefore\ \text{It does not make sense to charge }$60\ \text{ per stall}\)
\(\text{as you cannot have a negative number of stalls.}\)
Points \(A\) and \(B\) are \((-3,1)\) and \((1,4)\) respectively.
Which of the following is a vector equation of the line \(A B\) with parameter \(\lambda\) ?
\(D\)
\(\overrightarrow{AB}=\displaystyle \binom{1}{4}-\binom{-3}{1}=\binom{4}{3}\)
\(\text{Line} \ \ AB:\)
\(\displaystyle \binom{x}{y}=\binom{-3}{1}+\lambda\binom{4}{3}\)
\(\Rightarrow D\)
The graph of a quadratic function represented by the equation \(h=t^2-8 t+12\) is shown.
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a. \(\text{Turning point at} \ \ (4,-4)\)
b. \(t=8\)
a. \(\text{Strategy 1 (no calculus)}\)
\(\text{Axis of quadratic occurs when}\ \ t= \dfrac{2+6}{2} = 4\)
\(\text{At} \ \ t=4:\)
\(h=4^2-8 \times 4+12=-4\)
\(\therefore \ \text{Turning point at} \ \ (4,-4)\)
\(\text{Strategy 2 (using calculus)}\)
\(h=t^2-8 t+12\)
\(h^{\prime}=2 t-8\)
\(\text{Find \(t\) when} \ \ h^{\prime}=0:\)
\(2 t-8=0 \ \Rightarrow \ t=4\)
b. \(\text {When} \ \ h=12:\)
| \(t^2-8 t+12\) | \(=12\) |
| \(t(t-8)\) | \(=0\) |
\(\therefore \ \text{Other value:} \ \ t=8\)
Alex used a cloud storage service for one month.
The plan has a base monthly cost of $25. The service also charges 45 cents per GB uploaded and 12 cents per GB downloaded.
During the month, Alex uploaded 180 GB and downloaded 350 GB.
What was the total bill for the month? (2 marks)
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`$148.00`
`text(Upload charge = 180 × 45c = $81.00)`
`text(Download charge = 350 × 12c = $42.00)`
| `:.\ text(Total bill)` | `= 25 + 81 + 42` |
| `= $148.00` |
Describe why planning is crucial for athletes to meet their sleep, nutrition and hydration needs alongside their training commitments. (3 marks)
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Outline the general sleep guidelines recommended for athletes to reduce fatigue and support optimal recovery. (3 marks)
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Describe the general daily fluid intake recommendations for athletes and the indicators used to monitor hydration status. (3 marks)
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Outline the general principles of nutrient timing for endurance athletes before, during and after performance. (3 marks)
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Describe the main functions of the three macronutrients for athletes and how each contributes to athletic performance. (3 marks)
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Outline why athletes need to follow dietary guidelines specific to their sport to improve performance. (3 marks)
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Outline the main structural changes that occur in muscle fibres during the hypertrophy process following strength training. (3 marks)
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Outline the main characteristics that distinguish slow twitch muscle fibres from fast twitch muscle fibres in terms of their structure and function. (3 marks)
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Why are warm-up and cool-down components considered essential parts of every training session for both aerobic and strength training programs? (3 marks)
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A football player has been using the same strength training routine for 12 weeks, performing identical exercises, sets and repetitions in each session. Their coach suggests applying the variety principle to improve training effectiveness.
Outline three different ways the variety principle could be applied to the football player's strength training program. (3 marks)
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A 20-year-old athlete wants to train within their aerobic training zone to improve cardiovascular fitness. They calculate their maximum heart rate as 200 beats per minute and know that the aerobic threshold is approximately 70% of maximum heart rate.
Describe the characteristics of training at the aerobic threshold and what happens when the athlete exercises above this intensity level. (3 marks)
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A tennis coach uses drills and modified games to help players improve their backhand technique. The coach notices that players perform well during drills but struggle to use the backhand effectively during actual match play.
Explain why modified games might be more effective than drills for developing the backhand skill in competitive situations. (3 marks)
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Which sector classification includes religious organisations and charity groups that operate health services?
\(D\)
Other Options:
Australia's Medicare system provides universal healthcare coverage to all citizens. Which factor explains why countries with similar universal healthcare systems might still have different health outcomes?
\(D\)
Other Options:
According to Australia's Health 2024 data, which health indicator shows Australia performing BELOW the OECD average?
\(C\)
Other Options:
Which of the following is a modifiable risk factor of cardiovascular disease?
\(B\)
Other Options:
Which principle of training refers to aligning training activities with the demands of a particular sport?
\(B\)
Other Options:
Which of the following best explains why breast cancer death rates are decreasing while incidence rates are increasing in Australia?
\(A\)
Other Options:
What is a benefit of emerging medical technologies?
\(C\)
Other Options:
Which of the following measures is NOT used to determine the health status of the population?
\(C\)
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What is the purpose of epidemiology?
\(A\)
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Which of the following is the main benefit of emerging treatments and technologies in health care
\(C\)
Other Options:
Which of the following best describes healthy ageing?
\(C\)
Other Options:
Which of the following best describes Medicare?
\(D\)
Other Options:
Which athlete would most benefit from consuming a pre-event meal that is high in complex carbohydrates?
\(A\)
Other Options:
Which alternative health care treatment involves inserting fine needles into specific parts of the body?
\(A\)
Other Options:
Which of the following is a non-modifiable risk factor for breast cancer?
\(A\)
Other Options:
A player is motivated when, following a pre-season tournament, he is presented with a trophy for being the highest goal scorer and receives cheers and encouragement from the crowd.
Which of the following identifies both the source and type of motivation for this player?
\(A\)
Other Options:
Which of the following identifies the measures of epidemiology?
\(B\)
Other Options:
Which type of cancer are people who work outdoors most at risk of developing?
\(D\)
Other Options:
The chance of being alive for five years after being diagnosed with a condition, compared with the general population, is called the 5-year relative survival rate.
The table shows data for breast cancer and lung cancer in Australia, 2011-2015.
\begin{array} {|l|c|}
\hline
\rule{0pt}{2.5ex}\ \ \textit{Cancer}\ \ \rule[-1ex]{0pt}{0pt} & \textit{5-year relative survival rate}\\
\hline
\rule{0pt}{2.5ex}\text{Breast}\rule[-1ex]{0pt}{0pt} & \text{90.8%}\\
\hline
\rule{0pt}{2.5ex}\text{Lung}\rule[-1ex]{0pt}{0pt} & \text{17.4%}\\
\hline
\end{array}
Which of the following provides the most likely reason for the difference in these 5-year relative survival rates?
\(D\)
Other Options:
A golfer is extremely nervous and shaking prior to hitting the ball. She closes her eyes and pictures herself making a smooth back swing.
Which psychological strategy is the golfer using?
\(C\)
Other Options:
The 'We're All in this Together' initiative in the Illawarra region aims to address how many SDGs?
\(C\)
Other Options:
The 2030 Agenda for Sustainable Development includes how many Sustainable Development Goals?
\(B\)
Other Options:
An athlete creates the following sequence of images in their mind as part of their training.
Which psychological strategy best describes the process being used by the athlete?
\(C\)
Other Options:
Identify two signs of dehydration that might affect an athlete's movement during competition. (2 marks)
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Sample Answer – Any 2 of the following:
Sample Answer - Any 2 of the following:
Outline TWO ways that acute stress affects the digestive system. (3 marks)
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Sample Answer – Any 2 of the following
Decreased saliva production
Blood diversion from digestive organs
Slowed/halted peristalsis
Sphincter relaxation
Stomach/intestinal contractions
Inflammatory response
Sample Answer – Any 2 of the following
Decreased saliva production
Blood diversion from digestive organs
Slowed/halted peristalsis
Sphincter relaxation
Stomach/intestinal contractions
Inflammatory response
Outline the difference between pulmonary and systemic circulation. (3 marks)
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Sample Answer
Pulmonary Circulation:
Systemic Circulation:
Sample Answer
Pulmonary Circulation:
Systemic Circulation:
Outline the structure of alveoli and explain how this structure enables efficient gas exchange. (3 marks)
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Sample Answer
Sample Answer
Explain how causes of fatigue differ between the ATP-PCr system and the glycolytic system during high-intensity exercise. (4 marks)
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Sample Answer
Sample Answer
Describe how fuel sources contribute to fatigue during the final stretch of a 400-metre race. (3 marks)
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Sample Answer
Sample Answer
Identify the fuel sources used by the three energy systems and explain why each energy system uses its particular fuel source(s). (6 marks)
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Sample Answer
Sample Answer
Describe how outdoor boot camps create opportunities for social interaction that enhance a sense of belonging. (3 marks)
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Sample Answer
Sample Answer
Describe how parkrun encourages social interaction among participants. (3 marks)
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Sample Answer
Sample Answer
Which contemporary exercise element is MOST effective in creating social interaction opportunities OUTSIDE the exercise environment?
\(C\)
Other Options:
Outline how elite athletes apply self-regulation to improve their performance. (3 marks)
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Sample Answer
Sample Answer
Outline how self-regulation contributes to sports performance. (3 marks)
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Sample Answer
Sample Answer
During a football grand final, a player experiences frustration when the opposition scores. The player struggles to maintain focus and begins making poor decisions.
This scenario demonstrates:
\(B\)
Other Options:
Describe how a coach can increase positive motivation in young athletes. (3 marks)
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Sample Answer
Sample Answer
Describe two ways intrinsic motivation supports long-term participation in sport. (3 marks)
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Sample Answer
Sample Answer
Which of the following is the BEST example of intrinsic motivation in sport?
\(B\)
Other Options:
Which statement about motivation in sport is MOST accurate?
\(C\)
Other Options: