v1 Algebra, STD2 A2 2017 HSC 14 MC
Christopher is comparing two different models of 4WD cars. Car A uses fuel at the rate of 11.4 L/100 km. Car B uses 9.6 L/100 km.
Suppose Christopher plans on driving
How much less fuel will he use driving car B instead of car A?
- 198 L
- 440 L
- 720 L
- 1000 L
v1 Algebra, STD2 A4 EQ-Bank 8 MC
v1 Algebra, STD2 A2 SM-Bank 4 MC
A car travels 480 km on 37 L of petrol.
What is its fuel consumption, correct to 1 decimal place?
- 5.2 L/100 km
- 7.7 L/100 km
- 13.0 L/100 km
- 15.4 L/100 km
v1 Algebra, STD2 A2 2021 HSC 18
The fuel consumption for a medium SUV vehicle is 7.2 litres/100 km. On a road trip, the SUV travels a distance of 1325 km and the fuel cost is $2.15 per litre.
What is the total fuel cost for the trip? (2 marks)
v1 Algebra, STD2 A2 2022 HSC 16
Nicole is 38 years old, and likes to keep fit by doing cross-fit classes.
- Use this formula to find her maximum heart rate (bpm).
- Maximum heart rate = 220 – age in years
- Nicole's maximum heart rate is ........................... bpm. (1 mark)
- Nicole will get the most benefit from this exercise if her heart rate is between 50% and 85% of her maximum heart rate.
- Between what two heart rates should Nicole be aiming for to get the most benefit from her exercise? (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
EXAMCOPY Functions, 2ADV F1 2009 HSC 1a
Sketch the graph of
--- 8 WORK AREA LINES (style=blank) ---
v1 Algebra, STD2 A2 2004 HSC 2 MC
EXAMCOPY Functions, 2ADV F1 2015 HSC 2 MC
What is the slope of the line with equation
v1 Functions, 2ADV F1 2017 HSC 1 MC
What is the gradient of the line
v1 Algebra, STD2 A2 SM-Bank 1
Sketch the graph of
--- 8 WORK AREA LINES (style=blank) ---
v1 Algebra, STD2 A2 SM-Bank 1 MC
What is the slope of the line with equation
v1 Algebra, STD2 A2 SM-Bank 2 MC
What is the gradient of the line
v1 Algebra, 2ADV F1 2018 HSC 3 MC
What is the
v1 Algebra, STD2 A2 SM-Bank 11 MC
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 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 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)
--- 4 WORK AREA LINES (style=lined) ---
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)
--- 4 WORK AREA LINES (style=lined) ---
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 2007 HSC 24b
The distance in kilometres (
Use the formula
--- 2 WORK AREA LINES (style=lined) ---
v1 Algebra, STD2 A1 2004 HSC 3 MC
If
v1 Algebra, STD2 A1 2015 HSC 2 MC
Which of the following is
v1 Algebra, STD2 A1 SM-Bank 1
What is the value of
v1 Algebra, STD2 A1 SM-Bank 2
If
v1 Algebra, STD2 A1 2017 HSC 9 MC
What is the value of
v1 Algebra, STD2 A1 SM-Bank 7
If
EXAMCOPY Functions, MET2 2022 VCAA 4
Consider the function
Part of the graph of
- State the range of
. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- i. Find
. (2 marks)
--- 3 WORK AREA LINES (style=lined) ---
- ii. State the maximal domain over which
is strictly increasing. (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
- Show that
. (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
- Find the domain and the rule of
, the inverse of . (3 marks)
--- 4 WORK AREA LINES (style=lined) ---
- Let
be the function , where and . - The inverse function of
is defined by . - The area of the regions bound by the functions
and can be expressed as a function, . - The graph below shows the relevant area shaded.
- You are not required to find or define
.
- Determine the range of values of
such that . (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
- Explain why the domain of
does not include all values of . (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
CHEMISTRY, M8 2013 VCE 8* MC
A forensic chemist tests mud from a crime scene to determine whether the mud contains zinc. Which one of the following analytical techniques would be best suited to this task?
- infrared spectroscopy
- mass spectroscopy
- atomic absorption spectroscopy
- nuclear magnetic resonance spectroscopy
CHEMISTRY, M7 2018 VCE 1a
Organic compounds are numerous and diverse due to the nature of the carbon atom. There are international conventions for the naming and representation of organic compounds.
- Draw the structural formula of 2-methyl-propan-2-ol. (1 mark)
--- 5 WORK AREA LINES (style=lined) ---
- Give the molecular formula of but-2-yne. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- Give the IUPAC name of the compound that has the structural formula shown above. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
CHEMISTRY, M4 2012 VCE 5 MC
Nitrogen dioxide decomposes as follows.
The enthalpy change for the reaction represented by the equation
CHEMISTRY, M4 2013 VCE 16*
Given the information above, what is the enthalpy change for the following reaction? (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
CHEMISTRY, M4 2016 VCE 13 MC
CHEMISTRY, M4 2016 VCE 17*
The combustion of hexane takes place according to the equation
Consider the following reaction.
- Calculate the value of
, in kJ mol , for this reaction (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
- Is the reaction exothermic or endothermic? (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
CHEMISTRY, M4 2015 VCE 17 MC
CHEMISTRY, M4 2018 VCE 14*
An equation for the complete combustion of methanol is
- State whether this reaction exothermic or endothermic. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- Calculate the total enthalpy change of the equation, in kilojoules. (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
PHYSICS, M5 2019 VCE 10
A projectile is launched from the ground at an angle of 39° and at a speed of 25 m s
- Ignoring air resistance, show that the projectile's time of flight from the launch to the highest point is equal to 1.6 seconds. Give your answer to two significant figures. Show your working and indicate your reasoning. (2 marks)
--- 5 WORK AREA LINES (style=lined) ---
- Calculate the range,
, of the projectile. Show your working. (2 marks)
--- 5 WORK AREA LINES (style=lined) ---
PHYSICS, M6 2019 VCE 7*
Students in a Physics practical class investigate the piece of electrical equipment shown in Figure 5. It consists of a single rectangular loop of wire that can be rotated within a uniform magnetic field. The loop has dimensions 0.50 m × 0.25 m and is connected to the output terminals with slip rings. The loop is in a uniform magnetic field of strength 0.40 T.
- What name best describes the piece of electrical equipment shown in Figure 5. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- What is the magnitude of the flux through the loop when it is in the position shown in Figure 5? Explain your answer. (2 marks)
--- 3 WORK AREA LINES (style=lined) ---
The students connect the output terminals of the piece of electrical equipment to an oscilloscope. One student rotates the loop at a constant rate of 20 revolutions per second.
- Calculate the period of the rotation of the loop. (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
- Calculate the maximum flux through the loop. Show your working. (1 mark)
--- 4 WORK AREA LINES (style=lined) ---
- The loop starts in the position shown in Figure 5.
- What is the average voltage measured across the output terminals for the first quarter turn? Show your working. (2 marks)
--- 3 WORK AREA LINES (style=lined) ---
PHYSICS, M6 2019 VCE 6
A home owner on a large property creates a backyard entertainment area. The entertainment area has a low-voltage lighting system. To operate correctly, the lighting system requires a voltage of 12 V. The lighting system has a resistance of 12
- Calculate the power drawn by the lighting system. (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
To operate the lighting system, the home owner installs an ideal transformer at the house to reduce the voltage from 240 V to 12 V. The home owner then runs a 200 m long heavy-duty outdoor extension lead, which has a total resistance of 3
- The lights are a little dimmer than expected in the entertainment area.
- Give one possible reason for this and support your answer with calculations. (4 marks)
--- 7 WORK AREA LINES (style=lined) ---
- Using the same equipment, what changes could the home owner make to improve the brightness of the lights? Explain your answer. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
PHYSICS, M6 2019 VCE 3
Figure 3 shows a schematic diagram of a DC motor. The motor has a coil,
The commutator connectors,
The current
- Which terminal of the commutator is connected to the positive terminal of the current supply? (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- Draw an arrow on Figure 3 to indicate the direction of the magnetic force acting on the side
. (1 mark)
--- 0 WORK AREA LINES (style=lined) ---
- Explain the role of the commutator in the operation of the DC motor. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
- A current of 6.0 A flows through the 100 turns of the coil
. - The side
is 5.0 cm in length. - Calculate the size of the magnetic force on the side
in the orientation shown in Figure 3. Show your working. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
PHYSICS, M7 2019 VCE 16 MC
Students are conducting a photoelectric effect experiment. They shine light of known frequency onto a metal and measure the maximum kinetic energy of the emitted photoelectron.
The students increase the intensity of the incident light.
The effect of this increase would most likely be
- lower maximum kinetic energy of the emitted photoelectrons.
- higher maximum kinetic energy of the emitted photoelectrons.
- fewer emitted photoelectrons but of higher maximum kinetic energy.
- more emitted photoelectrons but of the same maximum kinetic energy.
PHYSICS, M8 2019 VCE 14* MC
Electrons are accelerated in an electron gun to a speed of 1.0 × 10
The best estimate of the de Broglie wavelength of these electrons is
- 4.5 × 10
m - 7.3 × 10
m - 7.3 × 10
m - 4.5 × 10
m
PHYSICS, M6 2019 VCE 5-6* MC
A 40 V AC generator and an ideal transformer are used to supply power. The diagram below shows the generator and the transformer supplying 240 V to a resistor with a resistance of 1200
Question 5
Which of the following correctly identifies the parts labelled
Question 6
Which one of the following is closest to the current in the primary circuit?
Calculus, MET1 2023 VCAA SM-Bank 6
Newton's method is used to estimate the
- Verify that
and . (1 mark)
--- 4 WORK AREA LINES (style=lined) ---
- Using an initial estimate of
, find the value of . (2 marks)
--- 6 WORK AREA LINES (style=lined) ---
Functions, MET1 EQ-Bank 2
Consider the functions
- State the range of
. (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
- Determine the rule for the equation and state the domain of the function
. (2 marks)
--- 3 WORK AREA LINES (style=lined) ---
- Let
be the function . - Determine the maximal domain,
, such that exists. (1 marks)
--- 4 WORK AREA LINES (style=lined) ---
Graphs, MET1 EQ-Bank 1
Calculus, MET2 EQ-Bank 2
Jac and Jill have built a ramp for their toy car. They will release the car at the top of the ramp and the car will jump off the end of the ramp.
The cross-section of the ramp is modelled by the function
The graph of
- Find
for . (2 marks)
--- 2 WORK AREA LINES (style=lined) ---
- i. Find the coordinates of the point of inflection of
. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- ii. Find the interval of
for which the gradient function of the ramp is strictly increasing. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- iii. Find the interval of
for which the gradient function of the ramp is strictly decreasing. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
Jac and Jill decide to use two trapezoidal supports, each of width
- Determine the value of the ratio of the area of the trapezoidal cross-sections to the exact area contained between
and the -axis between and . Give your answer as a percentage, correct to one decimal place. (3 marks)
--- 5 WORK AREA LINES (style=lined) ---
- Referring to the gradient of the curve, explain why a trapezium rule approximation would be greater than the actual cross-sectional area for any interval
, where . (1 mark)
--- 4 WORK AREA LINES (style=lined) ---
- Jac and Jill roll the toy car down the ramp and the car jumps off the end of the ramp. The path of the car is modelled by the function
, where
-
is continuous and differentiable at , and is where the car lands on the ground after the jump, such that .
-
- Find the values of
and . (2 marks)
--- 6 WORK AREA LINES (style=lined) ---
- Determine the horizontal distance from the end of the ramp to where the car lands. Give your answer in centimetres, correct to two decimal places. (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
- Find the values of
PHYSICS, M7 2020 VCE 16 MC
The diagram below shows a plot of maximum kinetic energy,
Which one of the following correctly ranks these metals in terms of their work function, from highest to lowest in numerical value?
- sodium, potassium, lithium, nickel
- nickel, potassium, sodium, lithium
- potassium, nickel, lithium, sodium
- lithium, sodium, potassium, nickel
Statistics, SPEC2 2022 VCAA 6
A company produces soft drinks in aluminium cans.
The company sources empty cans from an external supplier, who claims that the mass of aluminium in each can is normally distributed with a mean of 15 grams and a standard deviation of 0.25 grams.
A random sample of 64 empty cans was taken and the mean mass of the sample was found to be 14.94 grams.
Uncertain about the supplier's claim, the company will conduct a one-tailed test at the 5% level of significance. Assume that the standard deviation for the test is 0.25 grams.
- Write down suitable hypotheses
and for this test. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- Find the
value for the test, correct to three decimal places. (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
- Does the mean mass of the random sample of 64 empty cans support the supplier's claim at the 5% level of significance for a one-tailed test? Justify your answer. (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
- What is the smallest value of the mean mass of the sample of 64 empty cans for
not to be rejected? Give your answer correct to two decimal places. (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
The equipment used to package the soft drink weighs each can after the can is filled. It is known from past experience that the masses of cans filled with the soft drink produced by the company are normally distributed with a mean of 406 grams and a standard deviation of 5 grams.
- What is the probability that the masses of two randomly selected cans of soft drink differ by no more than 3 grams? Give your answer correct to three decimal places. (2 marks)
--- 5 WORK AREA LINES (style=lined) ---
CHEMISTRY, M2 EQ-Bank 8
- Consider the compounds butyraldehyde
, lactic acid , and fructose . - Identify which TWO of these compounds have the same empirical formula and justify your choice. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
- The empirical formula of a compound is
and its molar mass is determined to be 340.32 g mol . - Calculate the molecular formula of this compound. (3 marks)
--- 6 WORK AREA LINES (style=lined) ---
CHEMISTRY, M2 EQ-Bank 4
A propane tank contains 10.0 kg of propane
--- 5 WORK AREA LINES (style=lined) ---
Calculus, SPEC2 2022 VCAA 3
A particle moves in a straight line so that its distance,
- i. Express the differential equation in the form
. (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
- ii. Hence, show that
. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
- The graph of
has a horizontal asymptote.
-
- Write down the equation of this asymptote. (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
- Sketch the graph of
and the horizontal asymptote on the axes below. Using coordinates, plot and label the point where , giving the value of correct to two decimal places. (2 marks) --- 3 WORK AREA LINES (style=lined) ---
- Write down the equation of this asymptote. (1 mark)
- Find the speed of the particle when
. Give your answer in metres per second, correct to two decimal places. (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
Two seconds after the first particle passed through
Its distance
- Verify that the particles are the same distance from
when . (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
- Find the ratio of the speed of the first particle to the speed of the second particle when the particles are at the same distance from
. Give your answer as in simplest form, where and are positive integers. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
CHEMISTRY, M1 EQ-Bank 29
You are given the task to separate the components of two mixtures: a saltwater solution and a mixture of sand and iron filings.
- Suggest a suitable separation technique to extract the salt from the saltwater solution. Explain your reasoning based on the physical property involved. (2 marks)
--- 4 WORK AREA LINES (style=blank) ---
- Identify the physical property that allow the mixture of sand and iron fillings to be separated and whether it is a homogeneous or heterogeneous mixture. (1 marks)
--- 2 WORK AREA LINES (style=blank) ---
- Discuss one safety precaution that should be followed during the separation of the saltwater solution. (2 marks)
--- 4 WORK AREA LINES (style=blank) ---
Functions, MET2 2022 VCAA 4
Consider the function
Part of the graph of
- State the range of
. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- i. Find
. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
- ii. State the maximal domain over which
is strictly increasing. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
- Show that
. (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
- Find the domain and the rule of
, the inverse of . (3 marks)
--- 6 WORK AREA LINES (style=lined) ---
- Let
be the function , where and . - The inverse function of
is defined by . - The area of the regions bound by the functions
and can be expressed as a function, . - The graph below shows the relevant area shaded.
- You are not required to find or define
. - i. Determine the range of values of
such that . (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
- ii. Explain why the domain of
does not include all values of . (1 mark
--- 2 WORK AREA LINES (style=lined) ---
Calculus, SPEC2 2022 VCAA 1
Consider the family of functions
- Write down the equations of the two asymptotes of the graph of
when . (2 marks)
--- 3 WORK AREA LINES (style=lined) ---
- Sketch the graph of
for on the set of axes below. Clearly label any turning points with their coordinates and label any asymptotes with their equations. (3 marks)
--- 0 WORK AREA LINES (style=lined) ---
- i. Find, in terms of
, the equations of the asymptotes of the graph of . (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
- ii. Find the distance between the two turning points of the graph of
in terms of . (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
- Now consider the functions
and , where and . - The region bounded by the curves of
and is rotated about the -axis.
-
- Write down the definite integral that can be used to find the volume of the resulting solid. (2 marks)
--- 5 WORK AREA LINES (style=lined) ---
- Hence, find the volume of this solid. Give your answer correct to two decimal places. (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
- Write down the definite integral that can be used to find the volume of the resulting solid. (2 marks)
Vectors, SPEC2 2022 VCAA 13 MC
The acceleration of a body moving in a plane is given by
Given that
PHYSICS, M6 2020 VCE 6*
PHYSICS, M5 2020 VCE 2*
Jupiter's moon Ganymede is its largest satellite.
Ganymede has a mass of 1.5 × 10
Determine the magnitude of Ganymede's surface gravity? (2 marks)
--- 5 WORK AREA LINES (style=lined) ---
Functions, EXT1 F1 2023 MET1 7
Consider
- State the range of
. (1 mark)--- 2 WORK AREA LINES (style=lined) ---
- Sketch the graph of the inverse function
on the axes above. Label any endpoints and axial intercepts with their coordinates. (2 marks)--- 0 WORK AREA LINES (style=lined) ---
- Determine the equation of the domain for the inverse function
. (2 marks)--- 3 WORK AREA LINES (style=lined) ---
- « Previous Page
- 1
- …
- 6
- 7
- 8
- 9
- 10
- …
- 46
- Next Page »