Advanced problem solving with real-life graphs

Quiz by Oak National Academy: GCSE Maths Higher (2)

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6 questions

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Q1
The __________ to a circle from an external point are equal in length.
radii
tangents
perpendiculars
30s
Q2
What is the tangent to the circle at A?
$y=-{1\over4}x+{13\over2}$
$y=-{1\over4}x+{29\over4}$
$y={1\over4}x+{29\over4}$
$y=-{1\over4}x-{29\over4}$
$y=4x-14$
30s
Q3
Find the point of intersection of the tangents to the circle from points A and B.
$(21,2)$
$(23,2)$
$(19,2)$
$(2,21)$
30s
Q4
Tangents from A and B meet at point C. To show that AC $=$ BC we would use __________.
a ruler
$A=\pi \times r^2$
circle theorem
Pythagoras theorem
30s
Q5
How far have these cars travelled between $0$ and $6$ seconds?
'a' has travelled $250$ metres and 'b' has travelled $275$ metres
'a' has travelled $90$ metres and 'b' has travelled $120$ metres
'a' has travelled $90$ metres and 'b' has travelled $135$ metres
Both have travelled $30$ metres each
Both have travelled $90$ metres each
30s
Q6
After how many seconds will car 'a' overtake car 'b'? ______ seconds.
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30s

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