Aussie Maths & Science Teachers: Save your time with SmarterEd
A triangular prism has the following dimensions (all measurements are in centimetres).
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Find the surface area of the rectangular prism pictured below, correct to 1 decimal place. All measurements are in metres. (2 marks)
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Find the surface area of the rectangular prism pictured below. All measurements are in metres. (2 marks)
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The diagram shows the shape of Carmel’s garden bed. All measurements are in metres.
Show that the area of the garden bed is 57 square metres. (2 marks)
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Find the area of the shaded part in the diagram below, giving your answer in square metres to 1 decimal place. (3 marks)
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Four identical circles of radius
The region enclosed by the circles has been shaded in the diagram.
The shaded area can be found using
A child's toy has the following design.
Find the area of the shaded region to the nearest square centimetre. (3 marks)
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A path 1.5 metres wide surrounds a circular lawn of radius 3 metres.
Find the area of the path, correct to the nearest square metre. (2 marks)
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The diagram shows the floor of a shower. The drain in the floor is a circle with a diameter of 10 cm.
Find the area of the shower floor, excluding the drain, to the nearest square centimetre. (3 marks)
The shaded region shows a quadrant with a rectangle removed.
Find the area of the shaded region, to the nearest cm2. (2 marks)
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What is the area of the shaded part of this quadrant, to the nearest square centimetre? (3 marks)
If
In which triangle is
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Find the value of
Find the value of
Find the value of
Find the value of
Find the value of
Find the value of
Express
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Using Pythagoras and showing your working, express
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Find the value of
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Find the value of
Find the value of
Find the value of
Find the value of
Find the value of
Find the value of
Express
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Using Pythagoras and showing your working, express
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Find the value of
Find the value of
Find the value of
Use trigonometry to find the value of
Use trigonometry to find the value of
Find the value of
Find the value of
Express
Without the use of a calculator, express the following as a fraction
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Express the following as a fraction
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Express the following as a simplified fraction
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Express the following as a fraction
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The distance between the Earth and the moon is 384 712 303 metres.
How far is that to the nearest million? (1 mark)
Which is the correct expression for 96.4851 rounded to 2 decimal places?
The first three days of the Brisbane cricket test had the following attendances:
What was the total crowd over the first 3 days, to the nearest 1000?
A red blood cell and a white blood cell have a combined total mass of
If the red blood cell has a mass of
The age of the Universe is estimated to be 14 000 000 000 years old.
This number can also be written in scientific notation as
An insect expert estimates that an anthill 30 cm high contains
He also estimates that a 25 cm high anthill contains
If his estimations are correct, how many more ants live in the 30 cm high anthill than the 25 cm high one? (2 marks)
The diameter of a pinhead is 0.0023 mm.
What is this measurement written in scientific notation?
The diameter of the earth is approximately 13 000 kilometres.
Which of these shows 13 000 in scientific notation?
One billion is one thousand million.
Which of the following is 300 billion?
A tennis racquet length is measured at 68.58 centimetres.
Express this measurement in metres, rounded to two decimal places. (2 marks)
A solution of acid is measures 12 982 millilitres.
Express this measurement in litres, correct to one decimal place. (2 marks)
The width of red blood cell is 8 nanometres or
How many red blood cells, lined up side by side in straight line, would it take to form a 1 cm distance. (2 marks)
The moon is 384 400 kilometres from the Earth.
Express this distance in scientific notation. (1 mark)
The mass of a sample of microbes is 50 mg. There are approximately
In scientific notation, what is the approximate mass in grams of one microbe? (2 marks)
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What is 0.000709 expressed in scientific notation? (1 mark)
What is 5.6582 rounded to two decimal places?