Paper 2: Calculator June 2024, Question 22 5 marks
A, B and C are points on a circle. PAC is a straight line. PB is a tangent to the circle.
Reveal mark scheme
AQA Level 2 Certificate Further Maths
Topic questions Geometry and measures Angle facts
5 questions · 24 marks · about 30 minutes
A, B and C are points on a circle. PAC is a straight line. PB is a tangent to the circle.
A, B, C, D and E are points on a circle, centre O.
Work out the value of x.
Here is an isosceles triangle. All the angles are acute.
Work out the size of angle y.
F, H, K and J are points on a circle. Chords HJ and KF intersect at L. EFG is a tangent to the circle. FH and JK are parallel.
Angle FHJ = 2 x
Give reasons why angle FKJ and angle HJK are also equal to 2 x.
Work out the values of x and y. You must show your working. Do not use trial and improvement.
A, B and C are points on a circle, centre O. ACD is a straight line. Angle BCD = w
Prove that w = x + 90 °
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