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
-
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
-
2.Draw an isosceles $\Delta ABC$ in which base $BC = 6\mathrm{cm}$ and the altitude from vertex to the base is 4 cm. To draw its inscribed circle, which step is required?
- A.Draw perpendicular bisectors of $AB$ and $AC$ to find the centre.
- B.Draw angle bisectors of $\angle B$ and $\angle C$ intersecting at $I$.
- C.Construct the circumcircle and use its centre for the incircle.
- D.Find the midpoint of $BC$ and use it as the centre of the incircle.
-
3.In the given diagram
, the point labelled H represents the orthocentre of triangle ABC. Which of the following correctly describes how this point is determined?- A.It is the point where the perpendicular bisectors of the sides of the triangle meet.
- B.It is the point where the altitudes of the triangle, drawn from each vertex to the opposite side, intersect.
- C.It is the point where the angle bisectors of the triangle meet.
- D.It is the point where the medians of the triangle intersect.
-
4.Without calculating base angles, construct an isosceles ΔPQR with base QR = 6 cm and ∠P = 75°. To draw its circumcircle, where should the centre of the circumcircle lie?
- A.At the intersection of the medians of the triangle.
- B.On the perpendicular bisector of the base QR.
- C.At the vertex P of the triangle.
- D.At the intersection of the angle bisectors of the triangle.
-
5.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
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test