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
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1.The mid-points of the sides of a triangle are given as $(1, 2)$, $(0, -1)$, and $(2, -1)$. What are the coordinates of the triangle's vertices?
- A.$(-1, 3)$, $(3, 1)$, $(1, -3)$
- B.$(1, 2)$, $(0, -1)$, $(2, -1)$
- C.$(2, 4)$, $(-2, 0)$, $(4, 0)$
- D.$(0, 0)$, $(2, 2)$, $(-2, -2)$
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2.The mid-points of the sides of a triangle are $(1, 1)$, $(2, -3)$, and $(3, 4)$. What is the centroid of this triangle?
- A.$(1, \frac{2}{3})$
- B.$(2, \frac{2}{3})$
- C.$(2, 1)$
- D.$(3, \frac{2}{3})$
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3.Find the co-ordinates of the point of intersection of the medians of the triangle whose vertices are A (-7, 5), B (-1, -3) and C (5, 7).
- A.(-1, 3)
- B.(1, -3)
- C.(-3, 1)
- D.(-1, 9)
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4.If G (-2, 1) is the centroid of ΔABC, two of whose vertices are A (1, -6) and B (-5, 2), find the coordinates of the third vertex C of the triangle.
- A.(-2, 6)
- B.(-2, 7)
- C.(2, -7)
- D.(-6, 2)
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5.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)
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