subjects · AQA · spec 8300
Mathematics
5 curated decks for AQA 8300, every card linked to the moment it was explained. Preview one below.
sample deck
GCSE Maths: Circle theorems (video)
The circle theorems — angles at the centre and circumference, cyclic quadrilaterals and tangents — from Corbettmaths. Each card deep-links to the video.
What is the relationship between the angle at the center and the angle at the circumference subtending the same arc?
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The angle at the center is double the angle at the circumference.
What is the measure of an angle in a semicircle?
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90°. This is a special case of the angle-at-center theorem: the diameter makes a 180° angle at the center, so the angle at the circumference is half of that.
What is true about angles subtended by the same arc in the same segment of a circle?
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They are equal.
What is the sum of opposite angles in a cyclic quadrilateral?
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180°.
What is true about the lengths of two tangents drawn from the same external point to a circle?
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They are equal.
What is the angle between a radius and a tangent at the point of contact?
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90°. The radius and tangent are perpendicular to each other.
What does the alternate segment theorem state about the angle between a tangent and a chord?
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The angle between the tangent and the chord is equal to the angle in the alternate segment.
How does a radius bisect a chord?
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A radius can be drawn perpendicular to any chord, bisecting it at 90°.
A cyclic quadrilateral is one where each vertex lies on the {circumference} of a circle.
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circumference
practice preview — fresh every time
2 marks · foundation tier
A bike normally costs £20. In a sale, all prices are reduced by 10%. Work out the sale price of the bike. Give your answer in pounds (£).
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£18
10% of £20 = £2. Sale price: £20 − £2 = £18.
2 marks · foundation tier
Isla buys 3 mugs at £0.65 each and pays with a £5 note. How much change should Isla get? Give your answer in pounds (£).
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£3.05
3 × £0.65 = £1.95. Change: £5 − £1.95 = £3.05.
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official past papers
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