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.A is a point on the x-axis with abscissa -8 and B is a point on the y-axis with ordinate 15. What is the distance AB?
- A.15 units
- B.17 units
- C.23 units
- D.√289 units
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2.In what ratio is the line joining P(5,3) and Q(-5,3) divided by the Y-axis, and what are the coordinates of the point of intersection?
- A.Ratio 2:1, coordinates (0, 3)
- B.Ratio 1:1, coordinates (0, 3)
- C.Ratio 1:2, coordinates (0, 4)
- D.Ratio 3:1, coordinates (0, 2)
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3.The centroid of the triangle whose vertices are $(3, -7), (-8, 6)$ and $(5, 10)$ is:
- A.(0, 9)
- B.(0, 3)
- C.(1, 3)
- D.(3, 5)
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4.In the given figure, AE and BC intersect each other at point D. If $\angle CDE = 90^{\circ}$, $AB = 5\,\mathrm{cm}$, $BD = 4\,\mathrm{cm}$ and $CD = 9\,\mathrm{cm}$, which labeled segment represents the length AE in the diagram?
- A.The segment from A to D extended to E
- B.The segment from B to D extended to C
- C.The segment from C to D only
- D.The segment from A to B only
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5.M is the mid-point of the line segment joining the points A(-3, 7) and B(9, -1). The co-ordinates of point M are found to be (3, 3). Further, if R(2, 2) divides the line segment joining M and the origin in the ratio p:q, what is the ratio p:q?
- A.1:1
- B.1:2
- C.2:1
- D.3:1
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