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

Always a Multiple?

Crossed Ends

Special Numbers

Reversals

Think of Two Numbers

KS4

Puzzling Place Value

Simplify and manipulate algebraic expressions

KS3

Perimeter Expressions

Number Pyramids

More Number Pyramids

Fibonacci Surprises

KS4

Pair Products

Hollow Squares

What’s Possible?

Plus Minus

Multiplication Square

Pythagoras Perimeters

Finding Factors

Difference of Two Squares

Square Number Surprises

Harmonic Triangle

Shape Products

Why 24?

2-digit square

Always Perfect

Perfectly Square

Solving equations

KS3

What’s it Worth?

Temperature

KS4

Fair Shares

Warmsnug Double Glazing

CD Heaven

Matchless

Multiplication Arithmagons

System Speak

How Old Am I?

Pick’s Theorem

Training Schedule

Solve linear inequalities

KS4

Which Is Cheaper?

Which Is Bigger?

Shape Products

Generate terms of a sequence from either a term-to-term or a
position-to-term rule

Beach Huts

Charlie’s Delightful Machine

1 Step 2 Step

A Little Light Thinking

Summing Consecutive Numbers

Frogs

Seven Squares

Tower of Hanoi

Triangle Numbers

Recognise arithmetic sequences and find the nth term

Shifting Times Tables

Squares in Rectangles

Odds, Evens and More Evens

Coordinate Patterns

What Numbers Can We Make?

What Numbers Can We
Make Now?

Elevenses

Days and Dates

Growing Surprises

Recognise and use sequences

Triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions

Picturing Square Numbers

Picturing Triangle Numbers

Attractive Tablecloths

Partly Painted Cube

Summing Geometric Progressions

Mystic Rose

Steel Cables

Double Trouble

Work with coordinates in all four quadrants

Cops and Robbers

Coordinate Patterns

Route to Infinity

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

How Steep Is the Slope?

Diamond Collector

Perpendicular Lines

Translating Lines

Reflecting Lines

At Right Angles

Surprising Transformations

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

Negatively Triangular

Back Fitter

What’s That Graph?

Find approximate solutions to contextual problems from given graphs
of a variety of functions, including piece-wise linear, exponential and reciprocal graphs

Up and Across

Speeding Up, Slowing Down

How Far Does it Move?

Maths Filler

Fill Me Up

Translation of graphs

{sketch translations and reflections of the graph of a given function}

Parabolic Patterns

Tangled Trig Graphs

Cubics