ICSE Class 10 Equation of a Straight Line — Mock Test (2027)
Free online mock test for Equation of a Straight Line (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 Equation of a Straight Line 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.The line segment joining the points $(5, -4)$ and $(2, 2)$ is divided by the point Q in the ratio $1:2$. Does the line $x - 2y = 0$ contain Q?
- A.Yes, because substituting Q into the line equation gives zero.
- B.No, because substituting Q into the line equation does not give zero.
- C.Yes, because Q lies exactly halfway between the two points.
- D.No, because Q divides the segment in the ratio 2:1 instead of 1:2.
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2.Find the equation of a line passing through the point (2, 3) and intersecting the line 2x - 3y = 6 on the y-axis. Which of the following is the correct equation?
- A.5x - 2y - 4 = 0
- B.3x - 2y + 5 = 0
- C.2x - 5y + 11 = 0
- D.5x + 2y - 16 = 0
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3.In the given diagram, $AC \perp x$-axis. $B = (0,5)$ and $C(4,0)$. Which of the following is the equation of $AC$?
- A.$y = -4$
- B.$y = 4$
- C.$x = 4$
- D.$x = -4$
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4.A line has a gradient of $\frac{3}{5}$ and passes through point $P$, where $P$ divides the segment joining $A(-2,6)$ and $B(3,-4)$ in the ratio $2:3$. What is its equation?
- A.$3x - 5y + 10 = 0$
- B.$3x - 2y + 4 = 0$
- C.$5x - 3y + 6 = 0$
- D.$2x - 3y + 6 = 0$
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5.Find the value of k for which the lines kx - 5y + 4 = 0 and 4x - 2y + 5 = 0 are perpendicular to each other.
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