Grade 10 Maths · Paper 2
Analytical Geometry Grade 10
Real past paper questions and answers from 2024 to 2024, with each memo split into the ticks examiners give. Try one, mark yourself, and see exactly which skill cost you marks.
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Question 1.1 · June 2024 · Paper 2 · Provincial · 3 marks
In the figure below, and are points on a line segment AB.

1.1 Determine the length of AB.(3)
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What's in Analytical Geometry Grade 10
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Coordinate Geometry Basics9 past paper questions
- Plot and read pointsRead the coordinates of a point on a graph, or plot a given point in the right place (for example the point (3; −2) is 3 right and 2 down).2 past paper questions · 2 videos
- Reflect, translate or rotate a pointFind where a point lands after a reflection, translation or rotation (for example reflecting (2; 5) in the x-axis gives (2; −5)).8 past paper questions · 4 videos
- Prove or name a quadrilateral typeName the type of quadrilateral from its properties, or prove what type it is (for example both pairs of opposite sides parallel means it is a parallelogram).17 past paper questions · 3 videos
- Calculate area or perimeterChoose the right formula and find the area or perimeter of a shape (for example a circle with radius 3 has area π × 3² ≈ 28,27).12 past paper questions · 4 videos
- Use the theorem of PythagorasUse a² + b² = c² to find a missing side of a right-angled triangle (for example sides 3 and 4 give a hypotenuse of 5).41 past paper questions · 3 videos
- Calculate gradient between two pointsFind how steep a line is using (y₂ − y₁) ÷ (x₂ − x₁) (for example from (1; 2) to (3; 8) the gradient is 6 ÷ 2 = 3).26 past paper questions · 3 videos
- Find a horizontal or vertical lengthFind a vertical or horizontal distance as top minus bottom or right minus left (for example the vertical gap between f and g is f(x) − g(x)).11 past paper questions · 3 videos
- Calculate the mid-point of a segmentFind the point halfway between two points by averaging their coordinates, for example (2; 4) and (6; 8) have mid-point (4; 6).9 past paper questions · 3 videos
- Use parallel and perpendicular gradientsUse the fact that parallel lines have equal gradients and perpendicular lines have gradients that multiply to −1, for example 2 and −½.15 past paper questions · 3 videos
- Calculate distance between two pointsFind the length between two points using the distance formula, for example (1; 2) and (4; 6) are √(3² + 4²) = 5 units apart.14 past paper questions · 4 videos
Analytical Geometry Grade 10 videos
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