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.Chords AB and CD of a circle when extended meet at point X. Given AB = 4 cm, BX = 6 cm and XD = 5 cm, calculate the length of CD.
- A.7 cm
- B.10 cm
- C.12 cm
- D.5 cm
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2.A point $P$ is at a distance of $\sqrt{10}$ units from the point $A(4, 3)$. Find the coordinates of $P$, it being given that its ordinate is twice its abscissa.
- A.(1, 2)
- B.(2, 4)
- C.(3, 6)
- D.(5, 10)
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3.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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4.If $x - 2y + k = 0$ is a median of the triangle whose vertices are at points $A(-1, 3)$, $B(0, 4)$ and $C(-5, 2)$, then the value of $k$ is:
- A.2
- B.4
- C.6
- D.8
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5.x-axis divides the line segment joining A(2, -3) and B(5, 6) in the ratio
- A.2:3
- B.3:5
- C.1:2
- D.2:1
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