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.The line joining the points A (-3, -10) and B (-2, 6) is divided by the point P such that $\frac{\mathrm{PB}}{\mathrm{AB}} = \frac{1}{5}$. What are the co-ordinates of P?
   • A.(-13/5, -6)
   • B.(-11/5, 14/5)
   • C.(-3/5, -2)
   • D.(-2, 2)
2. 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
3. 3.Find the centroid of the triangle whose vertices are A $(x_1, y_1)$, B $(x_2, y_2)$ and C $(x_3, y_3)$. Which of the following represents the coordinates of the centroid?
   • A.$\left(\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}\right)$
   • B.$\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$
   • C.$\left(\frac{x_1 + x_2 + x_3}{2}, \frac{y_1 + y_2 + y_3}{2}\right)$
   • D.$\left(x_1 + x_2 + x_3, y_1 + y_2 + y_3\right)$
4. 4.In the given diagram of parallelogram ABCD, the vertices A $(-1, 0)$, B $(3, 1)$, and C $(2, 2)$ are labelled in order. Identify the coordinates of the fourth vertex D from the options below.
   • A.(-2, 1)
   • B.(0, 3)
   • C.(1, -1)
   • D.(4, 3)
5. 5.Four points are given: $(-2, -1), (1, 0), (4, 3)$ and $(1, 2)$. Which of the following statements correctly describes the quadrilateral formed by these points?
   • A.It is a parallelogram and a rectangle because diagonals bisect each other and are equal.
   • B.It is a parallelogram but not a rectangle because diagonals bisect each other but are not equal.
   • C.It is a rectangle but not a parallelogram because diagonals are equal but do not bisect each other.
   • D.It is neither a parallelogram nor a rectangle because diagonals neither bisect each other nor are equal.