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
-
1.A point moves in such a manner that 2 times of its abscissa is greater by 4 than 3 times of its ordinate then the equation of its locus is:
- A.$2x - 3y = 4$
- B.$2x + 3y = 4$
- C.$3x - 2y = 4$
- D.$3x + 2y = 4$
-
2.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.$a^2 - b^2 = 2$
-
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
-
4.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.
-
5.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
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test