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 $(4, 2)$ and Q $(-1, 5)$ are the vertices of parallelogram PQRS, and $(-3, 2)$ are the coordinates of the point of intersection of its diagonals. Which of the following correctly gives the coordinates of vertices R and S?
- A.R = $(-7, 1)$, S = $(2, -1)$
- B.R = $(-2, 4)$, S = $(1, -3)$
- C.R = $(-8, 0)$, S = $(3, -2)$
- D.R = $(-6, 2)$, S = $(0, 0)$
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2.The co-ordinates of the centroid of a triangle PQR are (2, -5). If Q = (-6, 5) and R = (11, 8), which of the following represents the co-ordinates of vertex P?
- A.P = (1, -28)
- B.P = (-1, 28)
- C.P = (3, -15)
- D.P = (19, -2)
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3.Find the co-ordinates of the centroid of a triangle whose vertices are A (4, -1), B (7, 9) and C (-2, 8).
- A.(3, 16/3)
- B.(9/3, 6)
- C.(11/3, 5)
- D.(3, 6)
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4.Points A (5, -1) on reflection in the x-axis is mapped as A'. Also, A on reflection in the y-axis is mapped as A''. What are the coordinates of A' and A'', and what is the distance AA''?
- A.A' = (5, 1), A'' = (-5, -1), distance AA'' = 10 units
- B.A' = (-5, 1), A'' = (5, -1), distance AA'' = 10 units
- C.A' = (5, 1), A'' = (-5, 1), distance AA'' = 12 units
- D.A' = (-5, -1), A'' = (5, 1), distance AA'' = 8 units
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5.The line joining points (a + b, b + a) and (a - b, b - a) is divided by the point (a, b). What is the ratio of division?
- A.1:2
- B.2:1
- C.1:1
- D.3:1
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