Sub-topic 1
2025 · National One-Eighth
Free
Distance from the origin to the line $3x+4y+20=0$
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Sub-topic 2
2025 · National One-Eighth
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Identifying intercept, slope-intercept and point-slope forms (true/false)
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Sub-topic 3
2025 · National One-Eighth
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Triangle vertices from three intersecting lines
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Sub-topic 4
2024 · National Preliminary
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Intersection of a quadratic curve and a line by simultaneous equations
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Sub-topic 5
2026 · National Preliminary
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Intersection of a quadratic curve and a line, and the distance between the points
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Sub-topic 6
2026 · National Preliminary
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Testing three points for collinearity using slopes
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Sub-topic 7
2026 · National Preliminary
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Line through a point, parallel to a given line
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Sub-topic 8
2026 · National Preliminary
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Line through a point, perpendicular to a given line
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Sub-topic 9
2025 · National Semifinal
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Tangent of the acute angle between two lines from their gradients
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Sub-topic 10
2026 · National Preliminary
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Tangent of the acute angle between two lines from their gradients
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Sub-topic 11
2026 · National Quarterfinal
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Perpendicular distance from a point to a line
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Sub-topic 12
2026 · National One-Eighth
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Tangent of the angle between two lines from their gradients
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Sub-topic 13
2026 · National One-Eighth
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Line through a point, perpendicular to a given line
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Sub-topic 14
2026 · National Preliminary
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Line through a point, perpendicular to a given line
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Sub-topic 15
2018 · National Preliminary
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Line through a point, perpendicular to the line through two other points
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Sub-topic 16
2021 · National Preliminary
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Slope and y-intercept of a line in intercept form
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Sub-topic 35
2021 · National Preliminary
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Equation of a line through two given points
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Sub-topic 36
2021 · National Preliminary
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Tangent of the angle between two lines from their gradients
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Sub-topic 50
2013 · National Preliminary
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Perpendicular bisector of a line segment
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Sub-topic 51
2013 · National Preliminary
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Line through a point, perpendicular to a given line
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Sub-topic 52
2013 · National Preliminary
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Line through a point, parallel to a given line
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Sub-topic 54
2013 · National Preliminary
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A line parallel to the x-axis has slope zero (true/false)
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Sub-topic 56
2013 · National Preliminary
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Vertical line through two points sharing an x-coordinate
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Sub-topic 57
2013 · National Preliminary
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Horizontal line through two points sharing a y-coordinate
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Sub-topic 58
2013 · National Preliminary
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Equation of a line through two given points
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Sub-topic 59
2013 · National Semifinal
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Intercepts of a line in standard form $ax+by=c$
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Sub-topic 60
2013 · National Semifinal
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Intercepts of a line in intercept form $\dfrac{x}{a}+\dfrac{y}{b}=1$
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Sub-topic 61
2013 · National Semifinal
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Intercepts of a line in slope-intercept form $y=mx+c$
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Sub-topic 66
2021 · National Preliminary
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Gradient and y-intercept of a line from its general-form equation
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Sub-topic 69
2022 · National Preliminary
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Line through a point, perpendicular to a given line
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Sub-topic 81
2023 · National Preliminary
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Slopes $m_1$ and $\dfrac{1}{m_2}$: are the lines parallel if $m_1\cdot m_2=1$? (true/false)
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Sub-topic 82
2023 · National Preliminary
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Slopes $m_1$ and $\dfrac{1}{m_2}$: are the lines perpendicular if $\dfrac{m_1}{m_2}=1$? (true/false)
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Sub-topic 83
2023 · National Preliminary
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Slopes $m_1$ and $\dfrac{1}{m_2}$: do the lines intersect if $m_1\cdot m_2\neq1$? (true/false)
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