ICSE Class 10

ICSE Class 10 Section Formula and Mid-point — Mock Test (2027)

Free online mock test for Section Formula and Mid-point (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 Section Formula and Mid-point 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. 1.In the given diagram, the centre of a circle is labelled C at $(-2, 3)$ and one end of diameter PQ is labelled P at $(2, -4)$. What are the co-ordinates of the point labelled Q?
    • A.(-6, 10)
    • B.(0, -1)
    • C.(-4, 7)
    • D.(6, -10)
  2. 2.The coordinates of the vertices of $\Delta ABC$ are respectively $(-4, -2)$, $(6, 2)$ and $(4, 6)$. The centroid $G$ of $\Delta ABC$ is:
    • A.(2, 2)
    • B.(2, 3)
    • C.(3, 3)
    • D.(0, -1)
  3. 3.Find the co-ordinates of centroid of $\Delta$PQR whose vertices are P (6, 3), Q (-2, 5) and R (-1, 7).
  4. 4.In what ratio does the point P(-4,6) divides the line segment joining the points A(-6,10) and B(3, -8)?
    • A.7:8
    • B.7:2
    • C.2:8
    • D.2:7
  5. 5.If the points A (6, 1), B (8, 2), C (9, 4) and D (p, 3) are the vertices of a parallelogram taken in order, what is the value of p?
    • A.5
    • B.7
    • C.8
    • D.6

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