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.In the diagram below, the line `l` represents the locus of a point equidistant from two fixed points A and B. Identify the correct label for the part marked `X` in the diagram `
`.- A.The midpoint of segment AB
- B.The perpendicular bisector of segment AB
- C.The angle bisector of ∠APB
- D.The median from P to segment AB
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3.O is a fixed point. Point P moves along a fixed line AB. Q is a point on OP produced such that OP = PQ. What is the locus of point Q?
- A.A line parallel to AB and twice as far from O as AB is
- B.A circle centered at O with radius equal to the distance from O to AB
- C.A line perpendicular to AB passing through O
- D.A line identical to AB but shifted closer to O
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4.Statement 1: The point which is equidistant from three non-collinear points $D, E$ and $F$ is the circumcentre of the $\Delta DEF$. Statement 2: The incentre of a triangle is the point where the bisector of the angles intersects. (a) Both the statements are true (b) Both the statements are false (c) Statement 1 is true and Statement 2 is false (d) Statement 1 is false and Statement 2 is true
- a.Both the statements are true
- b.Both the statements are false
- c.Statement 1 is true and Statement 2 is false
- d.Statement 1 is false and Statement 2 is true
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5.A point $P$ is allowed to travel in space. What is the locus of $P$ so that it always remains at a constant distance from a fixed point $C$.
- A.Sphere
- B.Cube
- C.Circle
- D.Line
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