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.The locus of a point P such that ∠APB = 90° where AB is a fixed line is:
- A.Sphere
- B.Cube
- C.Circle
- D.Line
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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.Given: PQ is perpendicular bisector of side AB of the triangle ABC.
Which labelled point in the diagram is equidistant from A and B?- A.Point P
- B.Point Q
- C.Point C
- D.Point A and B themselves
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4.
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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5.The intersecting point of medians of triangle is called:
- A.Centroid
- B.Incentre
- C.Orthocentre
- D.Circumcentre
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