Shape and Space is all about the mathematical side of triangles, squares and that Pythagoras man. 

These topics are for GCSE Maths Level. 

You'll learn; Area, Volume, Circumference, Symmetry, Reflections, Translations, 3D Shapes, Plans, Elevations, Angles, Coordinates, Rotations, Pythagoras Theorem, Trigonometry, Vectors and other clever stuff. 

Top Questions

Topics

Calculate angles where circles are involved
B
Calculate average speeds from distance-time graphs
C
Calculate the area of a circle
D
Calculate the circumference of a circle
D
Calculate the distance between two points using their coordinates
B
Calculate the length of an arc and the area of a sector and a segment of a circle
A
Calculate the surface areas of cylinders, cones and spheres
A
Calculate the volume of prisms and cylinders
C
Calculate the volumes of cylinders, cones and spheres
A
Carry out accurate constructions, using ruler and compass
C
Classify a quadrilateral by its geometric properties
C
Construct an accurate locus
C
Construct and recognise the nets of 3-D shapes such as pyramids and triangular prisms
D
Convert between different units of area and volume
C
Describe fully, and carry out reflections in lines and rotations about any point
C
Discuss and interpret graphs modelling real situations
B
Draw a quadrilateral such as a kite or a parallelogram with given measurements
D
Draw and interpret maps and scale drawings
D
Draw plans and elevations of 3-D shapes
D
Enlarge a shape by a negative scale factor
A
Enlarge a shape by a positive integer scale factor
D
Enlarge a shape by any positive scale factor
C
Find the area and perimeter of compound shapes
D
Find the area of a triangle, parallelogram, kite and trapezium
D
Find the midpoint of a line segment
C
Find the volume of the frustum of a truncated cone
A*
Identify reflection symmetry in 3-D shapes
D
Interpret velocity-time graphs
B
Prove and use the circle theorems
A
Prove that angles in a triangle add up to 180 degrees
C
Reflect shapes in lines such as x = 2 or y = -1
D
Reflect shapes in the lines y = x and y = -x
C
Solve loci problems
C
Solve problems involving perimeters and areas of circles
C
Solve problems involving similar triangles
B
Solve problems involving surface areas of prisms and cylinders
C
Solve problems involving the enlargement of areas and volumes
A
Solve problems using angle and symmetry properties of polygons
C
Solve problems using bearings
D
Solve problems using the properties of intersecting and parallel lines
D
Solve vector geometry problems
A*
Solve vector geometry problems by adding, subtracting or multiplying with vectors
A
Transform shapes by a combination of translation, reflection and rotation and know that area and angles are unchanged
C
Translate a shape by a vector
C
Translate a shape using directions
D
Understand and use compound measures such as speed and density
C
Understand and use coordinates in three dimensions
C
Understand the graphs of trigonometric functions for angles of any size
A*
Use congruent triangles to solve problems and to provide proofs
A
Use Pythagoras theorem
C
Use Pythagoras theorem in 3-D problems
A
Use Pythagoras theorem in practical problems
C
Use sin, cos and tan in a right-angled triangle
B
Use the cosine rule in any triangle
A
Use the sine rule in any triangle
A
Use trigonometry in three dimensions
A*
Work out the area of a triangle using sin
A

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