Questions: Drawing and constructing
New numbers every time.
Plotting graphs
- Table of values, then plot ax + by = cPlot, 4 marks, Plus
- Plot a quadratic, then read its rootsPlot, 6 marks, Plus
- Plot a quadratic, then solve equations with it (H)Plot, 5 marks, Plus, Higher tier
- Plot a cubic, then count its solutions (H)Plot, 5 marks, Plus, Higher tier
- Plot a reciprocal graph from a context (H)Plot, 5 marks, Plus, Higher tier
- Plot exponential growth, then read a time (H)Plot, 5 marks, Plus, Higher tier
- Draw a conversion graph and use it beyond its endPlot, 5 marks, Plus
- Draw a distance-time graph from a descriptionDraw, 5 marks, Plus
- Draw a second line and solve the pair from the graphSolve, 4 marks, Plus
Sketching graphs
- Recognise the shape of a graph from its equationChoose, 1 mark, Plus
- Sketch a line from its two interceptsSketch, 4 marks, Plus
- The key points of a quadratic: roots, y-intercept, turning pointWork out, 5 marks, Plus
- Complete the square to find the turning point (H)Work out, 6 marks, Plus, Higher tier
- The key points of a cubic in factorised form (H)Sketch, 4 marks, Plus, Higher tier
- The key points of an upside-down parabola (H)Sketch, 6 marks, Plus, Higher tier
- Sketch a quadratic from its key points and shapeSketch, 3 marks, Plus
- Complete a parabola by symmetryPlot, 3 marks, Plus
- What is true of a graph: line, quadratic, cubic or reciprocalChoose, 1 mark, Plus
Drawing charts
- Draw a vertical line chart, then find the meanDraw, 5 marks, Plus
- Draw a time series, describe it, compare a quarterDraw, 5 marks, Plus
- Frequency densities, then draw the histogram (H)Draw, 4 marks, Plus, Higher tier
- Complete a histogram and its table, then estimate (H)Work out, 5 marks, Plus, Higher tier
- The angles for a pie chart, and a fraction of itDraw, 4 marks, Plus
- Draw a line of best fit and use itDraw, 4 marks, Plus
- Cumulative frequencies, the graph, then the median (H)Draw, 5 marks, Plus, Higher tier
- Draw a second frequency polygon, then estimate its meanDraw, 5 marks, Plus
- The five values for a box plot, then compare (H)Draw, 5 marks, Plus, Higher tier
Constructions on a grid
- The perpendicular bisector of AB, point by pointConstruct, 5 marks, Plus
- Where the perpendicular bisector of AB meets the y-axis (H)Work out, 6 marks, Plus, Higher tier
- The bisector of an angle, checked on a gridConstruct, 5 marks, Plus
- The perpendicular from a point to a line, and the shortest distance (H)Work out, 4 marks, Plus, Higher tier
- A perpendicular at a point on a line, and its equation (H)Construct, 4 marks, Plus, Higher tier
- The point on a line that is the same distance from A and BWork out, 3 marks, Plus
- Construct a triangle from three sides: where is the third corner?Construct, 5 marks, Plus
- Which construction gives it?Choose, 1 mark, Plus
- A square from its diagonal, using the perpendicular bisectorConstruct, 3 marks, Plus
Loci and bearings
- The locus of points a fixed distance from a pointDraw, 5 marks, Plus
- The locus of points a fixed distance from a lineDraw, 3 marks, Plus
- Equidistant from two lines: the angle bisector, then a distance (H)Work out, 4 marks, Plus, Higher tier
- Shade a region given by two loci, then count its points (H)Work out, 5 marks, Plus, Higher tier
- Where two loci meet: two distances from two pointsWork out, 3 marks, Plus
- A two-leg journey: position, distance and bearing backWork out, 6 marks, Plus
- A map scale, a range and a real distanceWork out, 5 marks, Plus
- Name the locusChoose, 1 mark, Plus
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