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.Find the equation of the line which is perpendicular to the line $\frac{x}{a} - \frac{y}{b} = 1$ at the point where the given line meets the $y$-axis.
- A.$ax + by + b^2 = 0$
- B.$bx - ay + a^2 = 0$
- C.$ax - by - b^2 = 0$
- D.$bx + ay + ab = 0$
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2.Find the value of $p$ for which the lines $2x + 3y - 7 = 0$ and $4y - px - 12 = 0$ are perpendicular to each other.
- A.$p = 3$
- B.$p = 6$
- C.$p = -6$
- D.$p = 8$
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3.Which of the following is the slope of a line perpendicular to $AB$ if $A(-1, 6)$ and $B(3, -2)$?
- A.$\frac{1}{2}$
- B.$-\frac{5}{3}$
- C.$\frac{1}{10}$
- D.$\frac{3}{2}$
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4.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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5.Find the slope of the line passing through the points: (ii) A $(0, -3)$ and B $(2, 1)$
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