|
|
Exam-Style Questions on Intersecting ChordsProblems on Intersecting Chords adapted from questions set in previous Mathematics exams. |
1. | GCSE Higher [822] |
A, B, D and D are points on a circle, centre O.
BD is a diameter of the circle.
BD and AC intersect at the point T.
OD= 15 cm, BT = 9 cm and CT = 18 cm.
Work out the length of AT.
2. | GCSE Higher [824] |
The length of a tangent from a point \(S\) to a point on the circumference of a circle, with centre at \(O\), is 1800 km. The length of a radius of this circle is 750 km.
(a) Show how the intersecting secant theorem can be used to find the distance from \(S\) to \(O\).
(b) Check you solution to part (a) by using Pythagoras' theorem. All working must be clearly shown.
3. | GCSE Higher [823] |
T, Q, R and S are four points on a circle in this diagram not drawn to scale.
PTQ and PSR are straight lines.
PT = 10 cm, TQ = 14 cm and SR = 8 cm.
Angle TPS = 32°
(a) Calculate the length of PS.
(b) Calculate the length of SQ
Give your answer correct to 3 significant figures.
If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged.
The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.
The solutions to the questions on this website are only available to those who have a Transum Subscription.
Exam-Style Questions Main Page
To search the entire Transum website use the search box in the grey area below.
Do you have any comments about these exam-style questions? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.
