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.In the given diagram, the centre of a circle is labelled C at $(-2, 3)$ and one end of diameter PQ is labelled P at $(2, -4)$. What are the co-ordinates of the point labelled Q?
- A.(-6, 10)
- B.(0, -1)
- C.(-4, 7)
- D.(6, -10)
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2.AB is diameter of the circle whose centre is (2, -3) and B is the point (3, 4). The coordinates of a point A will be
- A.(10, -1)
- B.(-1, 10)
- C.(1, -10)
- D.(-10, 1)
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3.If the point $P(k, 0)$ divides the line segment joining the points $A(2, -2)$ and $B(-7, 4)$ in the ratio $1:2$, then the value of $k$ is:
- A.1
- B.2
- C.-2
- D.-1
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4.A is the point on the y-axis with 6 as ordinate and B (-3, 2) is the other point. What is the length of AB?
- A.3 units
- B.4 units
- C.5 units
- D.7 units
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5.In a rectangle OACB with OA along the x-axis and OB along the y-axis, let OA = a and OB = b. The coordinates of the vertices are O(0,0), A(a,0), C(a,b), and B(0,b). The diagonals OC and AB intersect at point M. Which of the following statements is true about the diagonals of the rectangle?
- A.The diagonals bisect each other but are not equal in length.
- B.The diagonals are equal in length but do not bisect each other.
- C.The diagonals bisect each other and are equal in length.
- D.The diagonals neither bisect each other nor are equal in length.
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