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 the line that passes through the point of intersection of the lines $5x - 8y + 23 = 0$ and $7x + 6y - 71 = 0$ and is perpendicular to the line $4x - 2y = 3$. Which of the following is the correct equation?
- A.$x + 2y = 17$
- B.$2x + y = 16$
- C.$x - 2y = -7$
- D.$4x - 2y = 8$
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3.Find the equation of a line whose y-intercept is 2 and slope is 3.
- A.y = 2x + 3
- B.y = 3x + 2
- C.y = 3x - 2
- D.y = 2x - 3
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4.Find the equation of diagonal $QS$ of square $PQRS$ where $P(3,1)$ and $R(-5,7)$.
- A.$3x + 4y - 13 = 0$
- B.$4x - 3y + 16 = 0$
- C.$3x - 4y + 16 = 0$
- D.$4x + 3y - 16 = 0$
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5.Match the equations A, B, C, D and E with the lines $L_1$, $L_2$, $L_3$, $L_4$ and $L_5$, whose graphs are roughly drawn in the given diagram. A ≡ $2x + y = 0$; B ≡ $2x + y = 20$ C ≡ $x = 8$; D ≡ $y = -12$ E ≡ $2x + 3y + 12 = 0$
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