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.In the figure, AB is the chord of a circle with centre O and DOC is a line segment such that BC = DO. If ∠C = 20°, which labelled angle corresponds to ∠AOD in the diagram?
- A.The angle at O between radii OA and OD
- B.The angle at D between chord AB and line DOC
- C.The angle at C between line DOC and chord AB
- D.The angle at B between chord AB and radius OB
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2.The following figure shows a parallelogram ABCD whose side AB is parallel to the x-axis, $\angle A = 60^{\circ}$ and vertex $C = (7, 5)$. Which of the following correctly represents the equation of line BC in the diagram?
- A.$y - 5 = \sqrt{3}(x - 7)$
- B.$y - 5 = \frac{1}{\sqrt{3}}(x - 7)$
- C.$y - 5 = -\sqrt{3}(x - 7)$
- D.$y = \sqrt{3}x + 5$
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3.Find the equation of the line passing through the origin and the point of intersection of the lines $5x + 7y = 3$ and $2x - 3y = 7$.
- A.$x + 2y = 0$
- B.$2x + y = 0$
- C.$x - 2y = 0$
- D.$5x + 7y = 0$
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4.The line through $A(-2,3)$ and $B(4,b)$ is perpendicular to the line $2x - 4y = 5$. What is the value of $b$?
- A.-3
- B.-9
- C.3
- D.9
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5.The equation of a straight line is $3x - 3y - 7 = 0$. What is the $y$-intercept of the line?
- A.$\frac{2}{3}$
- B.$\frac{5}{3}$
- C.$-\frac{7}{3}$
- D.$\frac{3}{2}$
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