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.Points A, B, and C represent three towers with AB = 60 m, BC = 73 m, and CA = 52 m. Using a scale of 10 m to 1 cm, draw ΔABC and find the point equidistant from A, B, and C. What is the actual distance of this point from any of the towers?
- A.30 m
- B.37 m
- C.45 m
- D.50 m
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2.A point $P$ moves 3 units below the $x$-axis at a constant distance. The locus of point $P$ is:
- A.$y = 3$
- B.$x = -3$
- C.$x = 3$
- D.$y = -3$
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3.Let a point P move in such a way that its distance from a fixed line AB is always equal to $d$ cm. The diagram below shows the fixed line AB and the path traced by P. Which labelled part represents the locus of the moving point P?
- A.A single straight line parallel to AB at a distance of $d$ cm from it.
- B.A pair of straight lines CD and EF, each parallel to AB at a distance of $d$ cm from it.
- C.A circle centered on AB with radius $d$ cm.
- D.A single straight line perpendicular to AB at a distance of $d$ cm from it.
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4.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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5.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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