The starter and exit quiz of the lesson “Problem solving with loci and constructions”, from the unit “Loci and construction” (Year 11 Maths) by Oak National Academy.
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Oak National Academy
12 questions
The locus of points __________ from another point can be represented by a circle.
A goat is tied to a railing by a 1 metre long rope. There is a barn near the railing. Which of these shows the locus of points the goat can walk to?
A motion sensor (S) can film any object up to 5 metres away. It can only detect in locations that it can see in a straight line. Which construction shows the locus of locations the sensor can detect?
This map shows two rocks, P and S, out at sea. Any ship must stay 10 metres or more away from each rock. Which locus shows points that are all 10 metres away from rock P? (A, C have radii of 10 m).
Laura’s grandma wants to move to a house that is within 7 km of Laura’s house at P, but more than 3 km from the river. Laura's grandma should move to region ___.
Two mobile phone masts (X and Y) can broadcast their signal to a maximum of 24 km. The further away from the mast, the weaker the signal is. Which points will receive a signal from both masts?
A bearing is an angle measured in degrees from __________ in the clockwise direction and written with three figures.
A boat (B) leaves a port (P) on a bearing of 047° at a speed of 20 km/h. The boat has been travelling for ___ hours.
Three sensors are set up for security. Sensor 1 has a range 15 m, sensor 2 has a range 12 m and sensor 3 has a range 20 m. Sensors 2 and 3 are activated. The intruder is likely to be in region ___.
A ship, S, needs to pass through a point that is midway between two buoys. Alex and Sam both do some constructions to find the correct point to pass through. Whose construction is correct?
A ship, S, needs to pass through a point that is midway between two buoys. What bearing should the ship sail on?
A goat is tethered to a horizontal pole by a rope with a ring attached. The pole is 5 metres long and the rope is 3 metres long. What is the area of region that the goat can graze?
