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

Your Number Is…

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

Quadratic Patterns

KS4

Pair Products

Hollow Squares

What’s Possible?

Plus Minus

Multiplication Square

Pythagoras Perimeters

Finding Factors

Difference of Two Squares

Square Number Surprises

Factorising with Multilink

Harmonic Triangle

Shape Products

Why 24?

2-digit square

Always Perfect

Perfectly Square

**Solving equations**

KS3

Your Number Was…

What’s it Worth?

Temperature

KS4

Fair Shares

Warmsnug Double Glazing

CD Heaven

Matchless

Multiplication Arithmagons

System Speak

How Old Am I?

Mega Quadratic Equations

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

Doesn’t Add Up

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 = k^{x} for positive values of k,

and the trigonometric functions

Negatively Triangular

Steady Free Fall

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

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