Solve
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Inequalities, SMB-015
Inequalities, SMB-014
Solve
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Inequalities, SMB-013
Solve
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Inequalities, SMB-010
In this inequality
What is the smallest possible value for
Inequalities, SMB-009
For the expression
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Inequalities, SMB-008
Find the value of
Inequalities, SMB-007 MC
The weight (
Which pair of values satisfy this inequality?
Equations, SMB-006
What is the highest possible value for
Indices, SMB-075
Simplify
Indices, SMB-030
Find the reciprocal of
Indices, SMB-027
Simplify
Indices, SMB-022
Simplify
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Indices, SMB-021
Simplify
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Indices, SMB-020
Express
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Indices, SMB-019
Express
Indices, SMB-018
Simplify the expression
Indices, SMB-017
Simplify the expression
Indices, SMB-009
Find
Indices, SMB-008
Solve the equation
Indices, SMB-007
Solve the equation
Algebraic Techniques, SMB-048
Factorise the expression
Algebraic Techniques, SMB-047
Factorise the expression
Algebraic Techniques, SMB-046
Factorise the expression
Algebraic Techniques, SMB-043
Factorise the expression
Algebraic Techniques, SMB-042
Factorise the expression
Algebraic Techniques, SMB-041
Expand and simplify the expression
Algebraic Techniques, SMB-040
Expand and simplify the expression
Algebraic Techniques, SMB-039
Expand and simplify the expression
Algebraic Techniques, SMB-038
Expand and simplify the expression
Algebraic Techniques, SMB-036
Simplify the expression
Algebraic Techniques, SMB-035
Simplify the expression
Algebraic Techniques, SMB-034
Simplify the expression
Algebraic Techniques, SMB-033
Simplify the expression
Algebraic Techniques, SMB-032
Simplify the expression
Algebraic Techniques, SMB-031
Simplify the expression
Algebraic Techniques, SMB-030
Simplify the expression
Algebraic Techniques, SMB-029
Simplify the expression
Algebraic Techniques, SMB-028
Simplify the expression
Algebraic Techniques, SMB-027
Simplify the expression
Algebra, STD1 A3 2019 HSC 9 MC
The container shown is initially full of water.
Water leaks out of the bottom of the container at a constant rate.
Which graph best shows the depth of water in the container as time varies?
| A. |  |
B. |  |
| C. |  |
D. |  |
Functions, 2ADV F1 2022 HSC 1 MC
Which of the following could be the graph of
Measurement, STD2 M1 2022 HSC 34
A composite solid is shown. The top section is a cylinder with a height of 3 cm and a diameter of 4 cm. The bottom section is a hemisphere with a diameter of 6 cm. The cylinder is centred on the flat surface of the hemisphere.
Find the total surface area of the composite solid in cm², correct to 1 decimal place. (4 marks)
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Measurement, STD1 M5 2021 HSC 26
The diagrams show two similar shapes. The dimensions of the small shape are enlarged by a scale factor of 1.5 to produce the large shape.
Calculate the area of the large shape. (3 marks)
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Measurement, STD2 M1 2021 HSC 16
The volume,
where
A tank consists of the bottom half of a sphere of radius 2 metres, as shown.
Find the volume of the tank in cubic metres, correct to one decimal place. (2 marks)
Measurement, STD1 M5 2020 HSC 28
Two similar right-angled triangles are shown.
The length of side
The area of triangle
Calculate the length in centimetres of side
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Measurement, STD2 M1 2019 HSC 16
A bowl is in the shape of a hemisphere with a diameter of 16 cm.
What is the volume of the bowl, correct to the nearest cubic centimetre? (2 marks)
Functions, 2ADV F1 2019 HSC 2 MC
What values of
Measurement, STD2 M1 2012 HSC 25 MC
The solid shown is made of a cylinder with a hemisphere (half a sphere) on top.
What is the total surface area of the solid, to the nearest square centimetre?
- 628 cm²
- 679 cm²
- 729 cm²
- 829 cm²
Measurement, STD2 M1 2008 HSC 21 MC
A sphere and a closed cylinder have the same radius.
The height of the cylinder is four times the radius.
What is the ratio of the volume of the cylinder to the volume of the sphere?
Measurement, STD2 M1 2018 HSC 13 MC
A rectangular pyramid has base side lengths
What is the volume of the pyramid in cubic metres?
Algebra, 2UG 2016 HSC 26b
Simplify
Measurement, STD2 M1 2016 HSC 26a
Probability, STD2 S2 2016 HSC 23 MC
A group of 485 people was surveyed. The people were asked whether or not they smoke. The results are recorded in the table.
A person is selected at random from the group.
What is the approximate probability that the person selected is a smoker OR is male?
- 33%
- 18%
- 68%
- 87%
Functions, 2ADV F1 2007 HSC 1b
Solve
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Measurement, STD2 M1 2015 HSC 26f
Approximately 71% of Earth’s surface is covered by water. Assume Earth is a sphere with a radius of 6400 km.
Calculate the number of square kilometres covered by water. (2 marks)
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Algebra, 2UG 2015 HSC 11 MC
Which of the following is
Measurement, STD2 M1 2015 HSC 8 MC
The Louvre Pyramid in Paris has a square base with side length 35 m and a perpendicular height of 22 m.
What is the volume of this pyramid, to the nearest m³?
Functions, 2ADV F1 2006 HSC 1e
Solve
Probability, STD2 S2 2006 HSC 26c
A new test has been developed for determining whether or not people are carriers of the Gaussian virus.
Two hundred people are tested. A two-way table is being used to record the results.
- What is the value of
? (1 mark)
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- A person selected from the tested group is a carrier of the virus.
What is the probability that the test results would show this? (2 marks)
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- For how many of the people tested were their test results inaccurate? (1 mark)
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