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.Locus of a point which remaining at a distance of $6\mathrm{cm}$ from line $PQ$ is:
- A.Two parallel lines below the line $PQ$ at a distance of $6\mathrm{cm}$.
- B.Two parallel lines on both sides of $PQ$ at a distance $6\mathrm{cm}$.
- C.Two parallel lines above $PQ$ at a distance of $6\mathrm{cm}$.
- D.None of these.
-
2.If the locus of a moving point which is always equidistant from the points $(2, -1)$ and $(3, 2)$ then it represents the curve:
- A.Hyperbola
- B.Ellipse
- C.Straight line
- D.Circle
-
3.Two straight lines PQ and PK cross each other at P at an angle of 75°. S is a stone on the road PQ, 800 m from P towards Q. Using a scale of 1 cm = 100 m, where is the flag staff X located if it is equidistant from P and S and also equidistant from the roads PQ and PK?
- A.At the intersection of PS and PK
- B.At the intersection of the perpendicular bisector of PS and the angle bisector of ∠KPS
- C.At the midpoint of PS
- D.At the intersection of PQ and the angle bisector of ∠KPS
-
4.The speed of sound is 332 metres per second. A gun is fired. What is the locus of all the people on the earth's surface who hear the sound exactly after one second?
- A.The locus is a straight line extending 332 meters from the gun in all directions.
- B.The locus is the circumference of a circle with the gun as center and radius 332 meters.
- C.The locus is a sphere with the gun as center and radius 332 meters.
- D.The locus is a single point located 332 meters away from the gun.
-
5.Draw a Δ PQR such that QR = 7 cm, ∠PQR = 45°, and PQ - PR = 1.8 cm. A point O inside the triangle is equidistant from PQ, QR, and PR. Which construction step identifies point O?
- A.Intersection of the perpendicular bisectors of PQ and QR
- B.Intersection of the angle bisectors of ∠Q and ∠R
- C.Intersection of the medians of Δ PQR
- D.Intersection of the altitudes of Δ PQR
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test