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 figure, the line segment AB meets the X-axis at A and the Y-axis at B. The point P(-3, 4) on AB divides it in the ratio 2 : 3. What are the coordinates of A and B?
- A.A = (-3, 0), B = (0, 6)
- B.A = (-5, 0), B = (0, 10)
- C.A = (-6, 0), B = (0, 8)
- D.A = (-4, 0), B = (0, 7)
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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
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3.$x$-axis divides the line segment joining $A(2, -3)$ and $B(5, 6)$ in the ratio:
- A.2:3
- B.3:5
- C.1:2
- D.2:1
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4.The line joining the points (2, 1) and (5, -8) is trisected at the points P and Q. If point P lies on the line $2x - y + k = 0$, find the value of $k$. Also, which of the following are the coordinates of point Q?
- A.$k = -8$, Q = $(3, -2)$
- B.$k = -8$, Q = $(4, -5)$
- C.$k = 8$, Q = $(3, -5)$
- D.$k = -4$, Q = $(4, -2)$
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5.If A(m/3, 5) is the mid-point of the line segment joining the points Q(-6, 7) and R(-2, 3), then the value of m is
- A.-12
- B.-4
- C.12
- D.-6
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