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.P is a point on the line joining A (4, 3) and B (-2, 6) such that 5AP = 2BP. Find the co-ordinates of P.
- A.(6/7, 27/7)
- B.(16/7, 27/7)
- C.(2, 5)
- D.(-8/7, 33/7)
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2.Find the centroid of the triangle whose vertices are A $(x_1, y_1)$, B $(x_2, y_2)$ and C $(x_3, y_3)$. Which of the following represents the coordinates of the centroid?
- A.$\left(\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}\right)$
- B.$\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$
- C.$\left(\frac{x_1 + x_2 + x_3}{2}, \frac{y_1 + y_2 + y_3}{2}\right)$
- D.$\left(x_1 + x_2 + x_3, y_1 + y_2 + y_3\right)$
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3.In the given triangle ABC with vertices A = (-2, 3), B = (6, 7), and C = (4, 1), identify the labelled point P in the diagram
where the medians intersect.- A.(-2, 3)
- B.(8/3, 11/3)
- C.(4, 11/3)
- D.(2, 7/3)
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4.Find the co-ordinates of the mid-point of the line segment joining the points P (4, -6) and Q (-2, 4).
- A.(1, -1)
- B.(3, -1)
- C.(1, -5)
- D.(-1, 1)
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5.Points $A(2, 2)$, $B(-2, 4)$ and $C(2, 6)$ are the vertices of a triangle $ABC$. Which of the following statements proves that $ABC$ is an isosceles triangle?
- A.The lengths of AB and BC are both equal to $2\sqrt{5}$ units.
- B.The length of AC is $4$ units, while AB and BC are different.
- C.The triangle has two angles equal, making it isosceles.
- D.The lengths of AB, BC, and AC are all equal to $2\sqrt{5}$ units.
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