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.ABCD is a rhombus. The coordinates of the points A and C are (3, 6) and (-1, 2) respectively.
Which of the following is the equation of the diagonal BD?- A.x - y + 3 = 0
- B.x + y - 5 = 0
- C.x - y - 1 = 0
- D.x + y + 3 = 0
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2.If the lines $y = 3x + 7$ and $2y + px = 3$ are perpendicular to each other, then the value of $p$ is:
- A.$p = \frac{2}{3}$
- B.$p = -\frac{2}{3}$
- C.$p = 6$
- D.$p = -6$
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3.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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4.Show that the points P (a, b + c), Q (b, c + a) and R (c, a + b) are collinear. Which of the following statements correctly justifies this?
- A.The slope of PQ is -1 and the slope of QR is -1, so the slopes are equal.
- B.The distance between P and Q equals the distance between Q and R, proving collinearity.
- C.The area of triangle PQR is zero, which means the points lie on a straight line.
- D.The slope of PQ is 1 and the slope of QR is -1, so the lines are perpendicular.
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5.Find the equation of the line passing through the point (2, 4) and perpendicular to the x-axis.
- A.y = 4
- B.x = 2
- C.y = 2x
- D.x = 4
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