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.Find the co-ordinates of the points of trisection of the line segment joining the points A $(5, -3)$ and B $(2, -9)$. Which of the following pairs correctly represents these points?
- A.$(4, -5)$ and $(3, -7)$
- B.$(3, -5)$ and $(4, -7)$
- C.$(4, -6)$ and $(3, -6)$
- D.$(5, -5)$ and $(2, -7)$
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2.If the mid-point of the line segment joining the points A(3,4) and B(k,6) is P(x,y) and x + y - 10 = 0, the value of k will be
- A.4
- B.5
- C.6
- D.7
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3.Find the coordinates of the centroid of a triangle with vertices A(-1,3), B(1,-1), and C(5,1).
- A.(1, 1)
- B.(5/3, 1)
- C.(2, 1)
- D.(3, 5/3)
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4.Find the co-ordinates of the point P which divides the line segment joining A (-4, 6) and B (3, -5) in the ratio 3 : 2.
- A.P = (-1, 1)
- B.P = (1, -1)
- C.P = (-6/5, 8/5)
- D.P = (0, 0)
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5.If the distance between the points $A(a, -2)$ and $B(5, 3)$ be 5 units, what is the value of $a$?
- A.$a = 1$
- B.$a = 5$
- C.$a = -5$
- D.$a = 2$
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