Geometry

Here is a list of all of the skills that cover Geometry! These skills are organised by year, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. BSM will track your score, and the questions will automatically increase in difficulty as you improve!

reception
  • Inside and outside
  • Top and bottom
  • Top, middle and bottom
  • Above and below
  • Left and right
  • Left, middle and right
  • Beside and next to
  • Identify different type of lines
  • The straight line
  • The broken Line
  • The curved line
  • Straight line, broken line and curved line
  • Classify the lines around you
  • Identify basic flat shapes
  • The circles
  • The triangles
  • The rectangles
  • The squares
  • Classify the flat shapes around you
  • The circles, triangles, rectangles and squares
  • Name the solid shape
  • Spheres
  • Cubes
  • Cones
  • Cylinders
  • Select solid shapes
Year 1
  • Inside and outside
  • Top, middle and bottom
  • Above and below
  • Above and below - find solid figures
  • Left, middle and right
  • Beside and next to
  • Beside and next to - find solid figures
  • Location in a grid
  • Name the two-dimensional shape
  • Circles
  • Triangles
  • Squares and rectangles
  • Hexagons
  • Select two-dimensional shapes
  • Count sides and corners
  • Compare sides and corners
  • Introduction to symmetry
  • Identify pictures with symmetry
  • Two-dimensional and three-dimensional shapes
  • Name the three-dimensional shape
  • Spheres
  • Cubes
  • Cones
  • Cylinders
  • Pyramids
  • Select three-dimensional shapes
  • Identify shapes traced from solids
  • Shapes of everyday objects I
  • Shapes of everyday objects II
Year 2
  • Name the two-dimensional shape
  • Select two-dimensional shapes
  • Count sides and vertices
  • Compare sides and vertices
  • Open and closed shapes
  • Flip, turn and slide
  • Symmetry
  • Two-dimensional and three-dimensional shapes
  • Name the three-dimensional shape
  • Cubes and rectangular prisms
  • Select three-dimensional shapes
  • Count vertices, edges and faces
  • Compare vertices, edges and faces
  • Identify shapes traced from solids
  • Identify faces of three-dimensional shapes
  • Shapes of everyday objects I
  • Shapes of everyday objects II
  • Above and below
  • Beside and next to
  • Left, middle and right
  • Top, middle and bottom
  • Location in a grid
Year 3
  • Count vertices, edges and faces
  • Name the two-dimensional shape
  • Select two-dimensional shapes
  • Count sides and vertices
  • Compare sides and vertices
  • Angles: greater than, less than or equal to a right angle
  • Flip, turn and slide
  • Identify congruent shapes
  • Symmetry
  • Fractions of a turn
  • Name the three-dimensional shape
  • Select three-dimensional shapes
  • Compare vertices, edges and faces
  • Identify shapes traced from solids
  • Identify faces of three-dimensional shapes
  • Shapes of everyday objects I
  • Shapes of everyday objects II
  • Perimeter
  • Perimeter - word problems
  • Area
  • Select figures with a given area
  • Create figures with a given area
  • Parallel and perpendicular lines
Year 4
  • Identify two-dimensional shapes
  • Count and compare sides and vertices
  • Identify three-dimensional shapes
  • Count vertices, edges and faces
  • Identify faces of three-dimensional shapes
  • Is it a polygon?
  • Regular and irregular polygons
  • Lines, line segments and rays
  • Angles greater than, less than or equal to a right angle
  • Acute, right and obtuse angles
  • Acute, right and obtuse angles - with a protractor
  • Acute, obtuse and right triangles
  • Scalene, isosceles and equilateral triangles
  • Angles of 90, 180, 270 and 360 degrees
  • Reflection, rotation and translation
  • Identify congruent shapes
  • Symmetry
  • Perimeter of rectangles
  • Perimeter of polygons
  • Perimeter of rectilinear shapes
  • Perimeter: find the missing side length
  • Find the area of figures made of unit squares
  • Select figures with a given area
  • Select two figures with the same area
  • Find the area of rectangles and squares
  • Find the missing side length of a rectangle
  • Volume
Year 5
  • Which two-dimensional figure is being described?
  • Identify three-dimensional figures
  • Count vertices, edges and faces
  • Identify faces of three-dimensional figures
  • Which three-dimensional figure is being described?
  • Nets of three-dimensional figures
  • Is it a polygon?
  • Regular and irregular polygons
  • Number of sides in polygons
  • Lines, line segments and rays
  • Parallel, perpendicular and intersecting lines
  • Acute, right, obtuse and straight angles
  • Measure angles with a protractor
  • Types of triangles
  • Identify congruent figures
  • Identify lines of symmetry
  • Rotational symmetry
  • Fraction and degree of a turn given a figure
  • Reflection, rotation and translation
  • Perimeter
  • Perimeter: find the missing side lengths
  • Find the area of figures made of unit squares
  • Select figures with a given area
  • Select two figures with the same area
  • Find the area or missing side length of a rectangle
  • Find the area of complex figures
  • Find the area between two rectangles
  • Area and perimeter: word problems
  • Use area and perimeter to determine cost
  • Volume
Year 6
  • Lines, line segments and rays
  • Parallel, perpendicular and intersecting lines
  • Types of angles
  • Measure angles with a protractor
  • Find a missing angle - vertical angles
  • Find a missing angle - adjacent angles
  • Find a missing angle - supplementary angles I
  • Find a missing angle - vertical, adjacent and supplementary angles
  • Find a missing angle - supplementary angles II
  • Is it a polygon?
  • Number of sides in polygons
  • Regular and irregular polygons
  • Classify triangles
  • Parallel sides in quadrilaterals
  • Identify parallelograms
  • Identify trapeziums
  • Identify rectangles
  • Identify rhombuses
  • Classify quadrilaterals
  • Find missing angles in quadrilaterals
  • Find missing angles in triangles
  • Lines of symmetry
  • Rotational Symmetry
  • Reflection, rotation and translation
  • Identify congruent and similar figures
  • Identify three-dimensional figures
  • Count verticesa and edges
  • 3D shapes and net.
  • Count faces of shapes
  • Perimeter with whole number side lengths
  • Perimeter with decimal side lengths
  • Area of squares and rectangles
  • Area of triangles
  • Area of compound figures
  • Area between two rectangles
  • Perimeter of figures on grids
  • Area and perimeter: word problems
  • Use area and perimeter to determine cost
  • Volume of figures made of unit cubes
  • Volume of cubes and rectangular prisms
  • Area of figures on grids
Year 7
  • Identify and classify polygons
  • Measure and classify angles
  • Types of angles
  • Estimate angle measurements
  • Classify triangles
  • Identify trapeziums
  • Classify quadrilaterals
  • Find missing angles in triangles and quadrilaterals
  • Sums of angles in polygons
  • Lines, line segments and rays
  • Name angles
  • Complementary and supplementary angles
  • Transversal of parallel lines
  • Find lengths and measures of bisected line segments and angles
  • Parts of a circle
  • Central angles of circles
  • Symmetry
  • Reflection, rotation and translation
  • Similar and congruent figures
  • Find side lengths of similar figures
  • Identify polyhedra
  • Which figure is being described?
  • Nets of three-dimensional figures
  • Front, side and top view
  • Perimeter
  • Area of figures made of unit squares
  • Area of squares and rectangles
  • Area of triangles
  • Area of parallelograms and trapeziums
  • Radius, diameter, circumference and area of a circle
  • Area of compound figures
  • Area between two rectangles
  • Area between two triangles
  • Area between two circles
  • Area and perimeter of figures on grids
  • Area and perimeter: word problems
  • Rectangles: relationship between perimeter and area
  • Compare area and perimeter of two figures
  • Volume of figures made of unit cubes
  • Volume and surface area of cubes and rectangular prisms
  • Volume and surface area of triangular prisms
Year 8
  • Describing a line
  • Describing a plane
  • Identifying line segments
  • Identifying rays
  • Defining postulates
  • Defining theorems
  • Identifying angles
  • Types of pairs of angles
  • Find values of angles
  • Pythagorean theorem
  • Find values in a right triangle using pythagorean theorem
  • Properties of square
  • Perimeter and area of square : word problem
  • Problem solving Involving squares
  • Properties of rectangles
  • Perimeter and area of rectangles: word problem
  • Problem solving Involving rectangle
  • Properties of trapezoid
  • Perimeter and area of trapezoid: word problem
  • Problem solving involving trapezoid
  • Properties of parallelogram
  • Perimeter and area of parallelogram : word problem
  • Problem solving involving parallelogram
  • Properties of rhombus
  • Perimeter and area of rhombus: word problem
  • Problem solving involving rhombus
  • Properties of kite
  • Perimeter and area of kite: word problem
  • Problem solving involving kite
  • Identifying properties of circles
  • Illustrating tangents of a circle
  • Find length of segments or sectors of a circle
  • Circumference and area of circle: word problem
  • Properties of Triangle
  • Perimeter and area of Triangle : word problem
  • Problem Solving Involving Triangles
  • Proving triangle congruence by RHS (right, hypotenuse, side)
  • Proving triangle congruence by SSS (side,side, side)
  • Proving triangle congruence by SAS (side,angle, side)
  • Proving triangle congruence by AAS (angle, angle, side)
  • Proving triangle similarity by AAA (angle, angle, angle)
  • Proving triangle similarity by SSS (side, side, side)
  • Solves corresponding parts of congruent triangles
  • Identifying Theorems of Triangle Inequality
  • Illustrating Hinge Theorem
  • Illustrating Exterior Angle Inequality Theorem
  • Illustrating Triangle Inequality Theorem
  • Proves Triangle Inequality
  • Unit Circle
  • Identifying sine
  • Identifying cosine
  • Identifying tangent
  • Special triangles
  • Identifying Angles Lying on the Same Side of the Transversal
  • Identifying pairs of alternate interior angles
  • Identifying pairs of alternate exterior angles
  • Identifying pairs of corresponding angles
  • Identifying pairs of co-interior angles
  • Find angle measurement
  • Surface area of cube: word problem
  • Volume of cube: word problem
  • Problem Solving Involving Cube
  • Surface Area of Rectangular Prism: word problem
  • Volume of Rectangular Prism: word problem
  • Problem Solving Involving Rectangular Prism
  • Surface Area of Square Pyramid: word problem
  • Volume of Square Pyramid: word problem
  • Problem solving involving square pyramid
  • Surface area of sphere: word problem
  • Volume of sphere: word problem
  • Problem solving involving sphere
  • Central symmetry
  • Properties of Central symmetry
  • Identify reflections, rotations and translations
  • Translations: graph the image
  • Translations: find the coordinates
  • Reflections: graph the image
  • Reflections: find the coordinates
  • Rotations: graph the image
  • Rotations: find the coordinates
  • Dilations: graph the image
  • Dilations: find the coordinates
  • Dilations: scale factor and classification
  • Illustrating Probability
Year 9
  • Identify and classify polygons
  • Classify triangles
  • Identify trapeziums
  • Classify quadrilaterals
  • Find missing angles in triangles and quadrilaterals
  • Interior angles of polygons
  • Identify complementary, supplementary, vertical, adjacent and congruent angles
  • Find measures of complementary, supplementary, vertical and adjacent angles
  • Transversal of parallel lines
  • Find lengths and measures of bisected line segments and angles
  • Parts of a circle
  • Symmetry
  • Identify reflections, rotations and translations
  • Translations: find the coordinates
  • Reflections: find the coordinates
  • Rotations: find the coordinates
  • Side lengths and angle measures of congruent figures
  • Congruence statements and corresponding parts
  • Congruent triangles: SSS, SAS and ASA
  • Similar and congruent figures
  • Dilations: find the coordinates
  • Dilations: scale factor and classification
  • Side lengths and angle measures of similar figures
  • Parts of three-dimensional figures
  • Nets of three-dimensional figures
  • Front, side and top view
  • Base plans
  • Similar solids
  • Perimeter
  • Area
  • Area and perimeter: word problems
  • Area between two shapes
  • Circles, semicircles and quarter circles
  • Circles: word problems
  • Volume
  • Surface area of prisms and cylinders
  • Volume and surface area of similar solids
  • Perimeter, area and volume: changes in scale
Year 10
  • Determining a quadrilaterals
  • Identifying properties of parallelograms
  • Identifying properties of rectangles
  • Identifying properties of rhombus
  • Identifying properties of square
  • Identifying properties of trapezium
  • Identifying properties of kite
  • Identifying parts of right triangle: mixed review
  • Angle Units
  • Trigonometric Circle
  • Deriving the value of sine
  • Deriving the value of cosine
  • Deriving the value of tangent
  • Identifying properties of Circles
  • Identifying parts of a circle
  • Illustrating secants of a circle
  • Illustrating tangents of a circle
  • Illustrating segments of a circle
  • Illustrating sectors of a circle
  • Identifying relations among chords, arcs, central angles, and inscribed angles
  • Identifying right angles
  • Identifying obtuse angles
  • Identifying acute angles
  • Identifying reflex angles
  • Identifying straight angles
  • Identifying pair of supplementary angles
  • Identifying pair of complementary angles
  • Identifying pair of vertical angles
  • Identifying pair of adjacent angles
  • Solving complementary of an angle
  • Solving supplementary of an angle
  • Defining parallel and transversal lines
  • Identifying pairs of interior angles
  • Identifying pairs of exterior angles
  • Identifying pairs of corresponding angles
  • Identifying pairs of co-interior angles
  • Identifying pairs of alternate interior angles
  • Determining unknown angle measurement
  • Determining a triangle
  • Proving triangle congruence by RHS (right, hypotenuse, side)
  • Proving triangle congruence by SSS (side,side, side)
  • Proving triangle congruence by SAS (side,angle, side)
  • Proving triangle congruence by AAS (angle, angle, side)
  • Proving triangle similarity by AAA (angle, angle, angle)
  • Proving triangle similarity by SSS (side, side, side)
  • Solving missing lengths
  • Computing area of square
  • Computing area of rectangle
  • Computing area of triangle
  • Computing area of trapezium
  • Computing area of parallelogram
  • Computing area of circle
  • Solving Problems involving square area
  • Solving Problems involving rectangle area
  • Solving Problems involving triangle area
  • Solving Problems involving trapezium area
  • Solving Problems involving parallelogram area
  • Solving Problems involving circle area
  • Illustrating Angle of Elevation
  • Illustrating angle of depression
  • Real world problems involving angle of elevation
  • Real world problems involving angle of depression
  • Illustrating rectangular prism
  • Illustrating cube
  • Illustrating triangular prism
  • Illustrating cylinder
  • Computing surface area of rectangular prism
  • Computing surface area of cube
  • Computing surface area of triangular prism
  • Computing surface area of cylinder
  • Computing volume of rectangular prism
  • Computing volume of cube
  • Computing volume of triangular prism
  • Computing volume of cylinder
  • Solving problems involving rectangular prism
  • Solving problems involving cube
  • Solving problems involving triangular prism
  • Solving problems involving cylinder
  • Illustrating square pyramid
  • Illustrating triangular pyramid
  • Illustrating right cone
  • Illustrating sphere
  • Computing surface area of square pyramid
  • Computing surface area of triangular pyramid
  • Computing surface area of right cone
  • Computing surface area of sphere
  • Computing volume of square pyramid
  • Computing volume of triangular pyramid
  • Computing volume of right cone
  • Computing volume of sphere
  • Solving problems involving square pyramid
  • Solving problems involving triangular pyramid
  • Solving problems involving right cone
  • Solving problems involving sphere
  • Identifying Conic Sections
  • Identifying parts of conic section
  • Determining characteristics of a parabola
  • Writing equation of a parabola in standard form
Year 11