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 that has an $x$-intercept of $-3$ and is perpendicular to the line $3x + 5y = 1$. Which of the following is the correct equation?
- A.$5x - 3y + 15 = 0$
- B.$3x - 5y + 9 = 0$
- C.$5x + 3y + 15 = 0$
- D.$3x + 5y + 9 = 0$
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2.The point P divides the join of (2, 1) and (-3, 6) in the ratio 2:3. Does P lie on the line x - 5y + 15 = 0?
- A.Yes, because substituting P into the line equation gives 0 = 0.
- B.No, because P does not satisfy the line equation.
- C.Yes, but only if the ratio is reversed to 3:2.
- D.No, because P lies on the line x + 5y + 15 = 0 instead.
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3.Find the value of $a$ for which the points $A(a,3)$, $B(2,1)$ and $C(5,a)$ are collinear.
- A.$a = -1$ or $4$
- B.$a = 1$ or $-4$
- C.$a = 2$ or $3$
- D.$a = 0$ or $5$
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4.Without using the distance formula, determine which of the following statements correctly shows that the points A $(1, -2)$, B $(3, 6)$, C $(5, 10)$, and D $(3, 2)$ are the vertices of a parallelogram?
- A.The midpoints of diagonals AC and BD coincide, proving ABCD is a parallelogram.
- B.The slopes of opposite sides are equal, proving ABCD is a parallelogram.
- C.The lengths of opposite sides are equal, proving ABCD is a parallelogram.
- D.The product of the slopes of adjacent sides is -1, proving ABCD is a parallelogram.
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5.Which of the following equation represents a line passing through the origin?
- A.$3x - 2y + 5 = 0$
- B.$2x - 3y = 0$
- C.$x = 5$
- D.$y = -6$
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