NRICH is one of the best maths sites out there – but I always find it a bit tricky to find past tasks, and to remember which ones I have done before. So I’ve put together a list based on their secondary mapping document (download the Excel file here). For each task I’ve given a snapshot of the task – but there are all the worked solutions and extra ideas for extensions at the links provided.
Use and interpret algebraic notation
KS3
KS4
Simplify and manipulate algebraic expressions
KS3
KS4
Solving equations
KS3
KS4
Solve linear inequalities
KS4
Generate terms of a sequence from either a term-to-term or a
position-to-term rule
Recognise arithmetic sequences and find the nth term
Recognise and use sequences
Triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions
Summing Geometric Progressions
Work with coordinates in all four quadrants
Linear graphing
Reduce a given linear equation in two variables to the standard form
y = mx + c; calculate and interpret gradients and intercepts of graphs
of such linear equations numerically, graphically and algebraically
Approximate solutions
Find approximate solutions to contextual problems from given graphs
of a variety of functions, including piece-wise linear, exponential and reciprocal graphs. the exponential function y = kx for positive values of k,
and the trigonometric functions
Find approximate solutions to contextual problems from given graphs
of a variety of functions, including piece-wise linear, exponential and reciprocal graphs
Translation of graphs
{sketch translations and reflections of the graph of a given function}