ICSE Class 10

ICSE Class 10 Constructions — Mock Test (2027)

Free online mock test for Constructions (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 Constructions 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.

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Sample questions

  1. 1.In the diagram img-1.jpeg showing the construction of the circumscribing circle of triangle ABC, which labelled point represents the circumcentre of the triangle?
    • A.The point where two altitudes of the triangle intersect
    • B.The point where the perpendicular bisectors of any two sides meet
    • C.The midpoint of the longest side of the triangle
    • D.The point where the angle bisectors of the triangle intersect
  2. 2.In the given diagram, img-1.jpeg a circle of radius 3 cm is drawn with centre O. A point P is marked at a distance of 5 cm from O. Two tangents PA and PB are drawn to the circle. Which labelled segment correctly represents the length of each tangent from P to the circle?
    • A.OA = 3 cm
    • B.OP = 5 cm
    • C.PA = 4 cm
    • D.AB = 6 cm
  3. 3.Draw a circle of radius 3 cm. Construct tangents to the circle so that the angle between them is 45°. What is the measure of the angle subtended by the two points of tangency at the centre of the circle?
    • A.45°
    • B.90°
    • C.135°
    • D.180°
  4. 4.In the diagram below, a regular hexagon of side 5.8 cm is shown with its inscribing circle. Which labelled part represents the radius of the inscribed circle? img-1.jpeg
    • A.The line joining the centre to any vertex of the hexagon
    • B.The perpendicular distance from the centre to any side of the hexagon
    • C.The line segment connecting two adjacent vertices of the hexagon
    • D.The angle bisector of any internal angle of the hexagon
  5. 5.Draw a circle of radius 2.5 cm. Mark a point P at a distance of 6.5 cm from the centre O of the circle. Using ruler and compass, draw two tangents to the circle from P and measure the length of each tangent. What is the length of each tangent?
    • A.4.0 cm
    • B.5.0 cm
    • C.6.0 cm
    • D.7.0 cm

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