Geometry Assessments

Title (Assessment)Summary of contentCalculator requiredPrintable Answer sheet
Angles in Polygons Assessment- Angles in triangles and quadrilaterals
Know the properties of scalene, isosceles, equilateral and right-angled triangles- Know the properties of scalene, isosceles, equilateral and right-angled triangles
Know the different types of angles- Know the different types of Angles, acute, obtuse, reflex, right angle
Angles on intersecting and parallel lines Assessment- Angle properties of intersecting lines, and vertically opposite angles are equal
- Corresponding and Alternate angles in parallel lines
- Calculate angles and give reasons
- Understand proofs relating to angles involving triangles
Angles around a point and on a straight line Assessment- Angles round a point add up to 360°
- Angles on a straight line add up to 180°
Interior & exterior angles of polygons Assessment- Calculate the sum of interior angles in a polygon
- Understand the polygon names; hexagon, heptagon, octagon and decagon
- Use the angle sum of an irregular polygon in a problem
- Calculate and use the sum of the interior angles of a regular polygon
- Understand and use fact that the exterior angles of a polygon add up to 360°
- Understand and use fact that the exterior angles of a polygon add up to 360°
- Be able to calculate the interior/exterior angle of a regular polygon
- Be able to deduce the number of sides of a regular polygon, given one of its angles
- Understand tessellations of regular and irregular polygons, Tessellate combinations of polygons
Reflection in 2D shapes Assessment- Recognise reflection symmetry and be able to draw lines of symmetry on a shape
- Complete a diagram given the line or lines of symmetry
- State a line of symmetry on a grid as a simple algebraic equation, eg. x = 2 or y = x
Rotation & Rotational Symmetry Assessment- Recognise rotation symmetry of 2D shapes
- Identify the order of rotational symmetry of a shape
- Complete diagrams with a given order of rotational symmetry
- Understand that a rotation is defined by an angle, direction and a centre of rotation
- Rotate a 2D shape around the origin or other point
- Find the centre of rotation
- Understand that a rotation produces a shape congruent to the original
Congruence and Similarity Assessment- Understand that angles in similar shapes are the same
- Prove the congruence of triangles using SSS, SAS, ASA and RHS and formal argument
- Understand SSS, SAS, ASA and RHS in ruler and compass constructions
- Understand SSS, SAS, ASA and RHS in ruler and compass constructions
- Understand similarity of triangles and other 2D shapes
- Understand similarity of triangles and other 2D shapes
- Use understanding of similar figures in problems
- Prove formally that two triangles are similar
Pythagoras' theorem Assessment- Understand and use Pythagoras' theorem in triangles
Pythagoras & Trigonometry in 3D Assessment- Understand and use Pythagoras' theorem in 3D problems
- Use Pythagoras' theorem to calculate the length of a diagonal of a cuboid
- Use trigonometry in 3D problems
Trigonometry - Angle of elevation / depression Assessment- Find angle of elevation and angle of depression
Trigonometry Assessment- Understand and remember trigonometric relationships in right angled triangles
- Use trigonometry in 2D problems
- Use trigonometry to find the angle between a line and a plane
Trigonometry - Exact Values Assessment- To find exact values of triangles with, 30, 45 and 60 degree angles using trig ratios
Sine & Cosine Rule (inc Area of Triangles) Assessment- Use the sine and cosine rule to solve 2D and 3D problems
- Calculate the area of a triangle using the formulae, A = ½abSinC
Parts of a circle Assessment- Understand and remember parts of a circle
- Draw a circle with compasses, given either the diameter or radius
Circle theorem AssessmentProve and use each of the circle theorems:
- Tangent is perpendicular to the radius at the point the tangent meets the circle
- Angle subtended from an arc at the centre is twice the angle at the circumference
- Angle in a semicircle is a right angle, Angles in the same segment are equal
- Opposite angles of a cyclic quadrilateral add up to 180°
- Alternate segment theorem
- Perpendicular from the centre to a chord bisects the chord
Nets Assessment- Draw nets and show how they fold to make a 3D solid shape
- Use isometric grids
- Understand and draw front and side elevations and plans of simple solids
- Draw a sketch of a 3D solid shape given the front and side elevations and plan of the solid
Transformations - Translations Assessment- Understand that translations are defined by a distance and a direction using vector notation
- Understand and use translations
- Translate a shape by a given vector
- Understand that a translation produces a shape congruent to the original
Transformations - Enlargement Assessment- Understand that angles remain the same in an enlargement
- Understand that an enlargement is defined by a centre of enlargement and a scale factor
- Enlarge a shape using (0, 0) or any other point as the centre
- Enlarge a shape by a positive, fractionl and negative scale factor
- Find the centre of a given enlargement
- Identify the scale factor of a given enlargement
Transformations Assessment - EasyA question on each of the below:
- Rotaton
- Reflection
- Translation
- Enlargement
Transformations Assessment - MediumA question on each of the below:
- Rotaton
- Reflection
- Translation
- Enlargement
Transformations Assessment - HardA question on each of the below:
- Rotaton
- Reflection
- Translation
- Enlargement
Straight edge and compass constructions Assessment- Construct a perpendicular bisector of a line
- Construct a given triangle
- Construct a perpendicular from a point to/from a line
- Bisect an angle
- Construct angles of 60°, 90°, 30° and 45°
- Construct parallel lines
- Draw circles and arcs of a given radius
- Construct a regular hexagon inside a circle
- Construct a regular hexagon inside a circle
Loci Assessment- Construct a loci of a given distance from a point and a given distance from a line
- Construct a region bounded by a circle and an intersecting line
- Construct a loci of equal distances from two points or two lines
- Identify regions defined by 'nearer to' or 'greater than'
- Find or describe regions satisfying a combination of loci
Area and Perimeter by Counting Assessment- Find the perimeter and area of shapes by counting
Perimeter and Area of Rectangles Assessment- Find the perimeter of a rectangle
- Use a formula to find the area of a rectangle
- Calculate the perimeter and area of compound shapes made from rectangles and other shapes
Area of Parallelograms/Trapeziums Assessment- Use a formula to find the area of a parallelogram and trapezium
- Calculate the area of compound shapes made from triangles, rectangles and other shapes
Area of Triangles Assessment- Find the perimeter of a triangle
- Measure shapes to find perimeter or area
- Use a formula to find the area of a triangle
- Calculate the perimeter and area of compound shapes made from triangles, rectangles and other shapes
Surface Area Assessment- Find the surface area of shapes such as prisms, pyramids or cylinders by using the formulae for triangles, rectangles and other shapes
Circumference and area of a circle Assessment- Find the area of a circle using A = πr²
- Find circumference of a circle using C = πd or C = 2πr
- Use π = 3.142 or the π button on a calculator
- Find the perimeter and area of semicircles and quarter circles
- Give answers in terms of π if required
Arc Lengths and Area of Sectors & Segments of circles Assessment- Find the perimeter and area of semicircles and quarter circles
- Calculate the length of an arc
- Calculate the area of a sector
- Find the area of a segment of a circle given the radius and length of the chord
Volume and Surface Area of Complex Shapes Assessment- Find the volumes and surface area of cones, pyramids, spheres and hemispheres, frustrums and compound shapes involving these
Volume of Prisms Assessment- Use the formula to calculate the volume of a cuboid
- Calculate volume of a prism, such as cuboids, triangular prisms and cylinders
Vectors Assessment- Add or subtract two vectors
- Multiply a vector by a number
- Calculate the result of two vectors
- Use vectors in geometrical proofs
Map and Scale Drawing Assessment- Use, interpret and construct maps and scale drawings
- Draw lines and shapes to scale
- Estimate lengths using a scale diagram
Conversion Graphs Assessment- Know conversion factors between different metric units
- Convert between metric units, measurements of area, volume and speed
Units of Measurements Assessment- Make estimates of measurements
- Choose appropriate units for estimates of measurements
- Read and interpret scales on measuring equipment
Bearings Assessment- Use 3 figure bearings to specify direction
- Mark a point on a diagram, given a bearing and distance from another point
- Measure or draw a bearing on a map or scale plan
- Given a bearing of one point from another, find the bearing of the first point from the second
Compound Measures Assessment- Understand and use compound measures, including speed and density
Measure & Draw Lines and Angles Assessment- Measure and draw straight lines to the nearest mm & Measure and draw Angles to the nearest degree
Elevations and Isometric Drawings Assessment- Measure and draw plans, elevations of 3D shapes, and use isometric grids to represent 3D shapes
Converting Units Assessment- Converting between units