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.A point $P$ moves two units above the $x$-axis at a constant distance. The locus of point $P$ is:
- A.$x = 2$
- B.$y = -2$
- C.$y = 2$
- D.$x = -2$
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2.Construct a triangle ABC with BC = 8 cm, AB = 7 cm, and ∠ABC = 60°. A point P inside the triangle is equidistant from BA and BC and also equidistant from B and C. What is the length of PB?
- A.3.5 cm
- B.4.0 cm
- C.4.6 cm
- D.5.0 cm
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3.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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4.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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5.A point $Q$ is always at the distance of 4 units from (3, 2). Equation of locus of a point $Q$, will be
- A.$x^{2} + y^{2} + 6x + 4y - 3 = 0$
- B.$x^{2} + y^{2} + 6x - 4y - 3 = 0$
- C.$x^{2} + y^{2} - 6x - 4y - 3 = 0$
- D.$x^{2} + y^{2} - 6x - 4y + 3 = 0$
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