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
-
1.Three vertices of a parallelogram ABCD taken in order are A (3, -4), B (-1, -3) and C (5, 2). What are the co-ordinates of vertex D?
- A.(1, -5)
- B.(9, 3)
- C.(7, -1)
- D.(3, 9)
-
2.Tangents AP and AQ are drawn to a circle, with centre O, from an exterior point A. Which of the following correctly relates the angles ∠PAQ and ∠OPQ?
- A.∠PAQ = ∠OPQ
- B.∠PAQ = 2∠OPQ
- C.∠PAQ = 1/2 ∠OPQ
- D.∠PAQ + ∠OPQ = 180°
-
3.The mid-point of the line-segment $AB$ is $P(0, 4)$, if the coordinates of $B$ are $(-2, 3)$ then the coordinates of $A$ are:
- A.(2, 5)
- B.(-2, -5)
- C.(2, 9)
- D.(-2, 11)
-
4.In what ratio is the line joining P(5,3) and Q(-5,3) divided by the Y-axis, and what are the coordinates of the point of intersection?
- A.Ratio 2:1, coordinates (0, 3)
- B.Ratio 1:1, coordinates (0, 3)
- C.Ratio 1:2, coordinates (0, 4)
- D.Ratio 3:1, coordinates (0, 2)
-
5.The radius of a circle is 8 cm. Calculate the length of a tangent drawn to this circle from a point at a distance of 10 cm from its centre.
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test