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.Without using the distance formula, determine which of the following statements correctly shows that the points A (4, -2), B (-4, 4), and C (10, 6) are the vertices of a right-angled triangle?
- A.The product of the slopes of AB and AC is -1, proving AB is perpendicular to AC, so the triangle is right-angled at A.
- B.The product of the slopes of AB and BC is -1, proving AB is perpendicular to BC, so the triangle is right-angled at B.
- C.The product of the slopes of BC and AC is -1, proving BC is perpendicular to AC, so the triangle is right-angled at C.
- D.The slopes of AB, BC, and AC are all equal, proving the triangle is right-angled at the midpoint of BC.
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2.If the slope of the line joining P $(k, 2)$ and Q $(8, -11)$ is $\frac{-3}{4}$, find the value of $k$.
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3.If the straight lines $3x - 5y = 7$ and $4x + ay + 9 = 0$ are perpendicular to one another, find the value of $a$.
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4.Find the equation of the line whose x-intercept is 8 and y-intercept is -12.
- A.3x - 2y - 24 = 0
- B.3x + 2y - 24 = 0
- C.2x - 3y + 24 = 0
- D.3x - 2y + 24 = 0
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5.Find the equation of the perpendicular dropped from the point (-1, 2) onto the line joining (1, 4) and (2, 3).
- A.x - y + 3 = 0
- B.x + y - 1 = 0
- C.x - y - 3 = 0
- D.x + y + 3 = 0
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