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.
Sample questions
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1.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?
- 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
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2.An equilateral triangle of side 4 cm is drawn. Which step is NOT part of constructing its circumcircle?
- A.Draw perpendicular bisectors of two sides
- B.Find the intersection of the bisectors as centre
- C.Draw arcs of radius 4 cm from all vertices
- D.Draw circle with radius equal to distance from centre to vertex
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3.In the given diagram, an equilateral triangle with side 5.6 cm is shown. Which labelled point represents the centre of the circle that can be inscribed within this triangle?
- A.The point where two medians intersect
- B.The point where two angle bisectors intersect
- C.The point where two altitudes intersect
- D.The midpoint of any side of the triangle
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4.Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on the outer circle, construct the pair of tangents to the inner circle. Which construction step ensures the tangents are correctly drawn?
- A.Drawing a circle with the radius of the outer circle as diameter.
- B.Drawing a circle with the line joining the centre and the external point as diameter.
- C.Drawing perpendiculars from the external point to the radii of the inner circle.
- D.Bisecting the angle formed by the two radii of the inner circle.
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5.Construct a regular hexagon of side 5 cm and inscribe a circle in it. Which of the following steps correctly identifies the centre of the incircle?
- A.The intersection of the perpendicular bisectors of any two sides.
- B.The intersection of the angle bisectors of any two interior angles.
- C.The midpoint of any side of the hexagon.
- D.The point where the diagonals of the hexagon meet.
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