A car takes 5 hours to complete a journey when travelling at 75 km/h.
How long would the same journey take if the car were travelling at 100 km/h?
- 37.5 minutes
- 1 hour and 20 minutes
- 3 hours and 45 minutes
- 4 hours and 15 minutes
v1 Algebra, STD2 A1 2011 HSC 21 MC
A train departs from Town A at 4.00 pm to travel to Town B. Its average speed for the journey is 80 km/h, and it arrives at 6.00 pm. A second train departs from Town A at 4.30 pm and arrives at Town B at 6.10 pm.
What is the average speed of the second train?
- 96 km/h
- 114 km/h
- 224 km/h
- 280 km/h
v1 Algebra, STD2 A1 2009 HSC 16 MC
The time for a train to travel a certain distance varies inversely with its speed.
Which of the following graphs shows this relationship?
v1 Algebra, STD2 A1 SM-Bank 1 MC
The blood alcohol content (
Calculate the
- 1.06
- 0.06
- 0.04
- 0.01
v1 Algebra, STD2 A1 2014 HSC 4 MC
Young’s formula below is used to calculate the required dosages of medicine for children aged 1–12 years.
How much of the medicine should be given to an 18-month-old child in a 24-hour period if each adult dosage is 27 mL? The medicine is to be taken every 8 hours by both adults and children.
- 3 mL
- 6 mL
- 9 mL
- 12 mL
v1 Algebra, STD2 A1 2014 HSC 29b
Blood alcohol content of males can be calculated using the following formula
where
What is the maximum number of standard drinks that Jacko, who has a mass of 75 kg, can consume over 5 hours in order to maintain a blood alcohol content (
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v1 Algebra, STD2 A1 2015 HSC 23 MC
The number of ‘standard drinks’ in various glasses of wine is shown.
| Number of standard drinks | |||
| White Wine | Red Wine | ||
| small glass | large glass | small glass | large glass |
| 0.9 | 1.4 | 1.0 | 1.5 |
A woman weighing 58 kg drinks two small glasses of white wine and three small glasses of red wine between 7 pm and 11 pm.
Using the formula for calculating blood alcohol below, what would be her blood alcohol content (
where
- 0.013
- 0.023
- 0.046
- 0.056
v1 Algebra, STD2 A1 2005 HSC 24b
The formula
-
is the dosage of liquid paracetamol in millilitres (mL). is the age of the child in months.
- If Charlotte is six months old, what dosage of liquid paracetamol should she be given? (1 mark)
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The correct dosage of liquid paracetamol for Teddy is 6 mL.
- What is the difference in the ages of Teddy and Charlotte, in months? (3 marks)
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v1 Algebra, STD2 A1 2015 HSC 30d
Monica is driving on a motorway at a speed of 105 kilometres per hour and has to brake suddenly. She has a reaction time of 1.3 seconds and a braking distance of 54.3 metres.
Stopping distance can be calculated using the following formula
What is Monica's stopping distance? Give your answer to 1 decimal place. (2 marks)
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v1 Algebra, STD2 A1 2016 HSC 10 MC
Anika drinks two small bottles of wine over a four-hour period. Each of these bottles contains 2.4 standard drinks. Anika weighs 55 kg.
Using the formula below, what is Anika's approximate blood alcohol content (
where
- 0.013
- 0.060
- 0.0013
- 0.0060
v1 Algebra, STD2 A1 2017 HSC 2 MC
A car is travelling at 85 km/h.
How far will it travel in 3 hours and 30 minutes?
v1 Algebra, STD2 A1 2017 HSC 19 MC
Young’s formula, shown below, is used to calculate the dosage of medication for children aged 1−12 years based on the adult dosage.
| where |
= dosage for children aged 1−12 years |
| = age of child (in years) | |
| = Adult dosage |
A child’s dosage is calculated to be 15 mg, based on an adult dosage of 30 mg.
How old is the child in years?
- 6
- 8
- 10
- 12
v1 Algebra, STD2 A1 2017 HSC 27e
Bryce is drinking low alcohol beer at a party over a four-hour period. He reads on the label of the low alcohol beer bottle that it is equivalent to 0.8 standard drinks.
Bryce weighs 85 kg.
The formula below can be used to calculate a male's blood alcohol content.
where
What is the maximum number of complete bottles of the low alcohol beer Bryce can drink to remain under a Blood Alcohol Content (
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v1 Algebra, STD2 A1 SM-Bank 4
Yuan is driving in a school zone at a speed of 30 kilometres per hour and needs to stop immediately to avoid an accident.
It takes him 1.4 seconds to react and his breaking distance is 6.2 metres.
Stopping distance can be calculated using the following formula
What is Yuan's total stopping distance? Give your answer to 1 decimal place. (2 marks)
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v1 Algebra, STD2 A1 SM-Bank 5
Fried's formula is used to calculate the medicine dosages for children aged 1-2 years.
Liam is 1.75 years old and receives a daily dosage of 350 mg of a medicine.
According to Fried's formula, what would the appropriate adult daily dosage of the medicine be? (2 marks)
v1 Algebra, STD2 A1 2018 HSC 26b
Clark’s formula, given below, is used to determine the dosage of medicine for children.
For a particular medicine, the adult dosage is 220 mg and the correct dosage for a specific child is 45 mg.
How much does the child weigh, to the nearest kg? (2 marks)
v1 Algebra, STD2 A1 2018 HSC 28e
Drake is driving at 80 km/h. He notices a branch on the road ahead and decides to apply the brakes. His reaction time is 1.2 seconds. His braking distance (
Stopping distance can be calculated using the following formula
What is Drake’s stopping distance, to the nearest metre? (3 marks)
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v1 Algebra, STD2 A1 2019 HSC 28
The formula below is used to calculate an estimate for blood alcohol content
The number of hours required for a person to reach zero
The number of standard drinks in a glass of wine and a glass of spirits is shown.
Georgie weighs 58 kg. She consumed 2 glasses of wine and 4 glasses of spirits between 7:45 pm and 12:15 am the following day. She then stopped drinking alcohol.
Using the given formulae, calculate the time in the morning when Georgie's
v1 Algebra, STD2 A1 SM-Bank 2 MC
Frank lives 45 kilometres from his work.
On Monday, he drove to work and averaged 60 kilometres per hour.
On Wednesday, he took the train which averaged 90 kilometres per hour.
What was the extra time of the car journey on Monday, in minutes, compared to when he caught the train on Wednesday?
- 15
- 30
- 45
- 75
v1 Algebra, STD2 A1 2023 HSC 36
The following formula can be used to calculate an estimate for blood alcohol content (
Min weighs 70 kg. His
Using the formula, estimate at what time Min began drinking alcohol, to the nearest minute. (4 marks)
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v1 Algebra, STD2 A1 2015 HSC 26b
Clark’s formula is used to determine the dosage of medicine for children.
The adult daily dosage of a medicine contains 1750 mg of a particular drug.
A child who weighs 30 kg is to be given tablets each containing 125 mg of this drug.
How many tablets should this child be given daily? (2 marks)
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v1 Algebra, STD2 A1 SM-Bank 15
Alonso drove 400 km in
His average speed for the first 240 km was 80 km per hour.
How long did he take to travel the last 160 km? (2 marks)
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v1 Algebra, STD2 A1 2020 HSC 3 MC
The distance between the Yarra Valley and Ballarat is 150 km. A person travels from the Yarra Valley to Ballarat at an average speed of 90 km/h.
How long does it take the person to complete the journey?
- 60 minutes
- 66 minutes
- 1 hour 30 minutes
- 1 hour 40 minutes
v1 Algebra, STD2 A1 2020 HSC 13 MC
When Stuart stops drinking alcohol at 11:30 pm, he has a blood alcohol content (BAC) of 0.08625.
The number of hours required for a person to reach zero BAC after they stop consuming alcohol is given by the formula:
At what time on the next day should Stuart expect his BAC to be 0.05?
- 1:33 am
- 1:55 am
- 2:15 am
- 5:15 am