Questions: Graphs and coordinates: shapes on axes, regions, areas and tangents
New numbers every time.
Shapes on coordinate axes
- The length of a line segmentWork out, 3 marks, Plus
- A length that comes out wholeWork out, 2 marks, Plus
- Centre and radius from a diameterWork out, 4 marks, Plus
- The perimeter of a triangle on axesWork out, 4 marks, Plus
- What type of triangle? Use squared lengthsWork out, 4 marks, Plus
- Area of a triangle on a gridWork out, 3 marks, Plus
- Area of a quadrilateral on a gridWork out, 4 marks, Plus
- The fourth vertex of a parallelogramWork out, 4 marks, Plus
- Name a quadrilateral from its verticesChoose, 2 marks, Plus
- A missing coordinate from a lengthWork out, 3 marks, Plus
Gradients and lines in shapes
- Which sides are parallel?Choose, 2 marks, Plus
- The line joining two midpointsWork out, 4 marks, Plus
- The line along a side of a parallelogramFind, 3 marks, Plus
- A triangle made by two lines and the x-axisWork out, 5 marks, Plus
- Find k so that an angle is a right angle (H)Work out, 4 marks, Plus, Higher tier
- The height of a triangle: a perpendicular line through a vertex (H)Find, 4 marks, Plus, Higher tier
- The foot of a perpendicular, then the height (H)Work out, 6 marks, Plus, Higher tier
- The fourth corner and the area of a rectangleWork out, 5 marks, Plus
- The other two corners of a square (H)Work out, 4 marks, Plus, Higher tier
- A rhombus: the diagonals cross at right angles (H)Work out, 6 marks, Plus, Higher tier
- Perpendicular lines in shapes (H)Choose, 1 mark, Plus, Higher tier
Regions in depth
- Inequalities for a region with dashed and solid lines (H)Choose, 2 marks, Plus, Higher tier
- Whole-number points when some boundaries are strict (H)Work out, 3 marks, Plus, Higher tier
- Which point is in the region? (H)Choose, 1 mark, Plus, Higher tier
- The greatest value of an expression over whole-number points in a region (H)Work out, 3 marks, Plus, Higher tier
- Region conventions: dashed, solid and shading (H)Choose, 1 mark, Plus, Higher tier
- A boundary from two marked points, then its inequality (H)Find, 4 marks, Plus, Higher tier
- Is the point in the region? Points on the boundary (H)Choose, 2 marks, Plus, Higher tier
- Which boundary lines are dashed? (H)Choose, 1 mark, Plus, Higher tier
Area under a curve
- Area under a speed-time curve with four strips (H)Estimate, 5 marks, Plus, Higher tier
- Area from a table of values with trapezia (H)Estimate, 3 marks, Plus, Higher tier
- Overestimate or underestimate? (H)Choose, 1 mark, Plus, Higher tier
- Volume from a rate-of-flow graph (H)Estimate, 4 marks, Plus, Higher tier
- Estimate a distance, then the average speed (H)Work out, 5 marks, Plus, Higher tier
- Distance from a speed-time graph made of straight lines (H)Work out, 4 marks, Plus, Higher tier
- What an area under a graph means (H)Choose, 1 mark, Plus, Higher tier
- How good is a trapezium estimate? Percentage error (H)Work out, 5 marks, Plus, Higher tier
Gradient at a point, and the kinematics formulae
- Acceleration from a tangent to a speed-time curve (H)Estimate, 3 marks, Plus, Higher tier
- Rate of cooling from a tangent (H)Estimate, 3 marks, Plus, Higher tier
- Average speed from a chord, speed at an instant from a tangent (H)Work out, 5 marks, Plus, Higher tier
- Tangents and chords: what a gradient means (H)Choose, 1 mark, Plus, Higher tier
- Where is the rate of change greatest? (H)Choose, 1 mark, Plus, Higher tier
- A rate from two points on a tangent (H)Estimate, 2 marks, Plus, Higher tier
- Use v² = u² + 2as (OCR)Work out, 3 marks, Plus
- Which kinematics formula? (OCR)Choose, 1 mark, Plus
- Uniform acceleration: the formulae and the speed-time graph agree (OCR)Work out, 5 marks, Plus
- Braking distance and time with the kinematics formulae (OCR)Work out, 4 marks, Plus
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