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.

Sample questions

1. 1.In the given diagram of triangle ABC, P (-2, 5) is the mid-point of AB, Q (2, 4) is the mid-point of BC, and R (-1, 2) is the mid-point of AC. Which of the following correctly identifies the coordinates of vertex B?
   • A.(-5, 3)
   • B.(1, 7)
   • C.(3, 1)
   • D.(-1, 2)
2. 2.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 $(2, -7)$
3. 3.The co-ordinate of the point dividing the line segment joining the points A(1,3) and B(4,6) in the ratio 2:1 is:
   • A.(5, 3)
   • B.(3, 5)
   • C.(4, 6)
   • D.(6, 4)
4. 4.In the given diagram, the mid-points of the sides BC, CA and AB of $\Delta ABC$ are labelled D $(2, 1)$, E $(-1, -3)$ and F $(4, 5)$ respectively. Which of the following sets of co-ordinates correctly identifies the vertices A, B, and C?
   • A.A $(1, 1)$, B $(7, 9)$, C $(-3, -7)$
   • B.A $(3, 3)$, B $(5, 7)$, C $(-1, -5)$
   • C.A $(2, 2)$, B $(6, 8)$, C $(0, -4)$
   • D.A $(-1, -1)$, B $(9, 11)$, C $(-5, -9)$
5. 5.Find the equation of the perpendicular bisector of the line segment joining $A(-3, 7)$ and $B(1, 5)$.
   • A.$2x + y + 4 = 0$
   • B.$x + 2y - 11 = 0$
   • C.$2x - y + 8 = 0$
   • D.$x - 2y + 13 = 0$