0607.C5.6.02 — angle between tangent and radius = 90°.: past paper questions

Real questions on 0607.c5.6.02 — angle between tangent and radius = 90°.

The newest 6 of 5 written questions. Open one to see it on the real paper.

1. 0607/31 · May/June 2026 · Q16b[1]

   1-mark “Give” question — its maths and diagrams are best seen on the paper.

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2. 0607/23 · May/June 2025 · Q10[4]
   [Diagram: A circle with points $A,B,C,D,E$ on its circumference. A quadrilateral $ABCD$ is inscribed in the circle. A line $TU$ is tangent to the circle at point $C$. The angle $\angle AED$ is marked as $y^{\circ }$. The angle $\angle ADC$ is marked as $105^{\circ }$. The angle $\angle DCA$ is marked as $x^{\circ }$. The an...See it on the paper →
3. 0607/12 · February/March 2024 · Q20[2]
   [Diagram: A circle with centre $O$. A line segment $AB$ is tangent to the circle at point $A$. A line segment $OB$ connects the centre to point $B$. The angle $ABO$ is marked as $42^{\circ }$. The diagram is labelled "NOT TO SCALE".] $O$ is the centre of a circle. $AB$ is a tangent to the circle at $A$ and angle $ABO = 42...See it on the paper →
4. 0607/43 · May/June 2022 · Q10b[5]

   5-mark “Find” question — its maths and diagrams are best seen on the paper.

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5. 0607/22 · October/November 2021 · Q13[2]
   13 [Diagram: A circle with a tangent line $AB$ touching the circle at point $T$. A triangle is inscribed in the circle with one vertex at $T$. The angle between the tangent $AB$ and the chord from $T$ is $40^{\circ }$. The angle at the center of the circle subtended by the chord is $77^{\circ }$. The angle at the circumferen...See it on the paper →
6. 0607/23 · May/June 2020 · Q9b[1]
   [Diagram: A circle with points $A$, $B$, $C$, $D$ on its circumference. A straight line $PBQ$ passes through $B$. Chords $AB$, $BC$, $CD$, $DA$ and $BD$ are drawn. Angle $DAB=98^{\circ }$. Angle $QBC=56^{\circ }$. Angle $BDC=57^{\circ }$. Label "NOT TO SCALE".] $A$, $B$, $C$ and $D$ are points on the circle. $PBQ$ is a st...See it on the paper →

What examiners said

Candidates clearly have a good understanding of all circle theorems as this question was well answered with most candidates scoring full marks.

— Examiner report, May/June 2025, 0607/23 Q10 (Cambridge)

Again, many answers were correct. Some candidates measured the angles OAB or BOA. This is not how to approach circle theorem questions as the question paper clearly says that the diagram is not to scale. Candidates were expected to realise that Angle BAO is 90° as the tangent AB is at right angles to the radius, AO.

— Examiner report, February/March 2024, 0607/12 Q20 (Cambridge)

This question was challenging in so far that it used exact trigonometric values and multiples of π . Partial marks were available for the area of a sector and the area of a triangle as well as using trigonometry to find a length. Fully correct answers were not often seen but those candidates who attempted the question usually earned one or more marks.

— Examiner report, May/June 2022, 0607/43 Q10(b) (Cambridge)