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.Point C(-1, 2) divides the line segment joining A(2, 5) and B(x, y) internally in the ratio 3:4. What are the values of x and y, and what is x² + y²?
- A.x = -3, y = -4; x² + y² = 25
- B.x = -5, y = -2; x² + y² = 29
- C.x = 5, y = 2; x² + y² = 29
- D.x = -4, y = -3; x² + y² = 25
-
2.If $x - 2y + k = 0$ is a median of the triangle whose vertices are at points $A(-1, 3)$, $B(0, 4)$ and $C(-5, 2)$, then the value of $k$ is:
- A.2
- B.4
- C.6
- D.8
-
3.In the given figure, chords AB and CD intersect each other externally at point P. Given PA = 16 cm, PB = 6 cm, PC = 4 cm, find CD.
-
4.Find the ratio in which the line $2x + y = 4$ divides the line segment joining the points P(2, -2) and Q(3, 7).
- A.2 : 9
- B.9 : 2
- C.3 : 7
- D.1 : 4
-
5.If the points A $(-2, -1)$, B $(1, 0)$, C $(a, 3)$ and D $(1, b)$ form a parallelogram, find the values of $a$ and $b$.
Ready? Take the full 20-question test free — instant marking, no sign-up needed.
▶ Start free mock test