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.Locus of a point whose distance from origin is always equal to is:
- A.$a^2 + b^2 = 2$
- B.$a^2 - b^2 = 4$
- C.$a^2 + b^2 = 4$
- D.$a^2 - b^2 = 2$
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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.$AB$ is a fixed line. Which of the following is the locus of the point $P$ so that $\angle APB = 90^{\circ}$.
- A.Sphere
- B.Cube
- C.Circle
- D.Line
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4.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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5.Construct an isosceles triangle ABC with AB = 6 cm and BC = AC = 4 cm. Bisect ∠C internally and mark a point P on this bisector such that CP = 5 cm. Points Q and R are 5 cm from P and also 5 cm from the line AB. Where are Q and R located?
- A.On the angle bisector of ∠C, 5 cm from P.
- B.On a circle centered at P with radius 5 cm.
- C.On a line parallel to AB, 5 cm away from AB, and 5 cm from P.
- D.On the perpendicular bisector of AB, 5 cm from P.
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