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.If $P\left(\frac{a}{3}, 4\right)$ is the mid-point of the line segment joining the points $Q(-6, 5)$ and $R(-2, 3)$, then the value of $a$ is:
- A.-4
- B.-12
- C.12
- D.-6
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2.If the point P(k, 0) divides the line segment joining the points A(2, -2) and B(-7, 4) in the ratio 1 : 2, then the value of k is
- A.1
- B.2
- C.-2
- D.-1
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3.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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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.Find the co-ordinates of the point C which divides the join of A $(4, -3)$ and B $(9, 7)$ in the ratio $3:2$.
- A.$(7, 3)$
- B.$(6.2, 1.8)$
- C.$(5.5, -0.2)$
- D.$(8, 5)$
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