ICSE Class 10 Locus — Mock Test (2027)
Free online mock test for Locus (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 Locus 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.
Draw a triangle ABC such that BC = 6.3 cm, AB + AC = 10.5 cm, and ∠ABC = 60°. What is the position of point P such that PA = PB = PC?- A.Intersection of the medians of triangle ABC
- B.Intersection of the perpendicular bisectors of BC and AC
- C.Intersection of the angle bisectors of triangle ABC
- D.Intersection of the altitudes of triangle ABC
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2.Geometry made by a locus of a swimmer maintaining the same distance from a pole in water is:
- A.Circle
- B.Triangle
- C.Rectangle
- D.Square
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3.Which of the following statement is correct:
- A.A point $Q$ moving in a plane about a fixed line as on are with same centre.
- B.A moving point $Q$ in a plane about another point in such a way that its distance is constant.
- C.A point equidistant from two fixed non-parallel $AB$ and $CD$ in the same plane.
- D.A point $Q$ moving in a plane about another point in such a way that its distance from a fixed line $AB$ is constant.
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4.A point $P$ is equidistant from the points $(-2, 0)$ and $(3, 2)$. The locus of point $P$ is:
- A.$10x + 4y + 9 = 0$
- B.$10x + 4y + 8 = 0$
- C.$10x + 4y - 9 = 0$
- D.$10x - 4y + 9 = 0$
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5.
Without using set square or protractor, construct the parallelogram ABCD in which AB = 5.1 cm, the diagonal AC = 5.6 cm, and the diagonal BD = 7 cm. How is the point P on DC located, which is equidistant from AB and BC?- A.Intersection of DC and the median from B
- B.Intersection of DC and the angle bisector of ∠ABC
- C.Intersection of DC and the perpendicular bisector of AB
- D.Intersection of DC and the altitude from A to BC
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