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 given figure represents the lines $y = x + 1$ and $y = \sqrt{3} x - 1$. Identify the angle labelled $\theta$ in the diagram.
- A.15°
- B.30°
- C.45°
- D.60°
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2.Lines through the points $(-2, 6)$ and $(4, 8)$ is perpendicular to the line through the points $(8, 12)$ and $(x, 24)$. Then, the value of $x$ is
- A.$2$
- B.$6$
- C.$8$
- D.$4$
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3.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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4.Given the points A (2, 3), B (-5, 0) and C (-2, a) are collinear. Find 'a'.
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5.Find the value of $m$, if the lines represented by $2mx - 3y = 1$ and $y = 1 - 2x$ are perpendicular to each other.
- A.$m = \frac{3}{4}$
- B.$m = -\frac{3}{4}$
- C.$m = \frac{4}{3}$
- D.$m = -\frac{4}{3}$
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