ICSE Class 10 Circles (Tangent and Cyclic Properties) — Mock Test (2027)
Free online mock test for Circles (Tangent and Cyclic Properties) (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Circles (Tangent and Cyclic Properties) chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.In the following figure, AB = AC. Which labelled property confirms that DECB is an isosceles trapezium?
- A.DE is parallel to BC and ∠DEB equals ∠ECB
- B.DE is equal in length to BC
- C.∠DAB equals ∠EAC
- D.DE and BC bisect each other
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2.In the given figure, AC is a tangent to the circle with centre O. If ∠ADB = 55°, find the values of x and y.
- A.x = 20°, y = 60°
- B.x = 20°, y = 70°
- C.x = 30°, y = 70°
- D.x = 25°, y = 65°
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3.In the given figure $O$ is the centre of the circle and given that $AB = AD$. What is the value of angle $\angle BCD$?
- A.$80^{\circ}$
- B.$60^{\circ}$
- C.$70^{\circ}$
- D.$40^{\circ}$
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4.The given figure shows a triangle ABC with ∠BAC = 56° and ∠ABC = 64°. Bisectors of angles A, B and C meet the circumcircle of the ΔABC at points P, Q and R respectively. Find the measure of ∠QPR.
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5.In the figure given below, O is the centre of the circle and SP is a tangent. If $\angle SRT = 65^{\circ}$, which labelled angle corresponds to $40^{\circ}$?
- A.$x$
- B.$y$
- C.$z$
- D.None of the labelled angles
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