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… 

Screen Shot 2018-06-01 at 4.41.06 PM

Always a Multiple?

Screen Shot 2018-06-01 at 4.43.00 PM

Crossed Ends

Screen Shot 2018-06-01 at 4.44.13 PM

Special Numbers

Screen Shot 2018-06-01 at 4.46.20 PM

Reversals

Screen Shot 2018-06-01 at 4.47.51 PM

Think of Two Numbers

Screen Shot 2018-06-01 at 4.49.04 PM

KS4

Puzzling Place Value

Screen Shot 2018-06-01 at 4.50.01 PM

Simplify and manipulate algebraic expressions

KS3

Perimeter Expressions

Screen Shot 2018-06-01 at 4.51.44 PM

Number Pyramids

Screen Shot 2018-06-01 at 4.52.43 PM.png

More Number Pyramids

Screen Shot 2018-06-01 at 8.25.49 PMScreen Shot 2018-06-01 at 8.25.57 PM

Fibonacci Surprises

Screen Shot 2018-06-01 at 8.26.23 PM

Quadratic Patterns

Screen Shot 2018-06-01 at 8.26.43 PM

KS4

Pair Products

Screen Shot 2018-06-01 at 8.26.57 PM

Hollow Squares

Screen Shot 2018-06-01 at 8.27.24 PM

What’s Possible?

Screen Shot 2018-06-01 at 8.27.40 PM

Plus Minus

Screen Shot 2018-06-01 at 8.27.53 PM

Multiplication Square

Screen Shot 2018-06-01 at 8.28.16 PM

Pythagoras Perimeters

Screen Shot 2018-06-01 at 8.31.11 PM

Finding Factors

Screen Shot 2018-06-01 at 8.30.56 PM

Difference of Two Squares

Screen Shot 2018-06-01 at 8.30.14 PM

Square Number Surprises

Screen Shot 2018-06-01 at 8.29.59 PM

Factorising with Multilink

Screen Shot 2018-06-01 at 8.29.38 PM

Harmonic Triangle

Screen Shot 2018-06-01 at 8.28.36 PM

Shape Products

Screen Shot 2018-06-01 at 8.43.11 PM

Why 24?

Screen Shot 2018-06-01 at 8.32.10 PM

2-digit square

Screen Shot 2018-06-01 at 8.31.26 PM

Always Perfect 

Screen Shot 2018-06-01 at 8.31.38 PM

Perfectly Square

Screen Shot 2018-06-01 at 8.31.52 PM

Solving equations

KS3

Screen Shot 2018-06-01 at 8.57.52 PM

Your Number Was… 

Screen Shot 2018-06-01 at 8.55.45 PM

What’s it Worth?

Screen Shot 2018-06-01 at 8.56.32 PM

Temperature

Screen Shot 2018-06-01 at 8.56.55 PM

KS4

Fair Shares

Screen Shot 2018-06-01 at 8.57.33 PM

Warmsnug Double Glazing

Screen Shot 2018-06-01 at 8.57.59 PM

CD Heaven

Screen Shot 2018-06-01 at 8.58.21 PM

Matchless 

Screen Shot 2018-06-01 at 8.58.53 PM

Multiplication Arithmagons

Screen Shot 2018-06-01 at 8.59.14 PM

System Speak

Screen Shot 2018-06-01 at 9.00.00 PM

How Old Am I?

Screen Shot 2018-06-01 at 9.00.22 PM

Mega Quadratic Equations

Screen Shot 2018-06-01 at 9.00.42 PM

Pick’s Theorem

Screen Shot 2018-06-01 at 9.01.08 PM

Training Schedule

Screen Shot 2018-06-01 at 9.01.41 PM

Solve linear inequalities

KS4

Which Is Cheaper?

Screen Shot 2018-06-01 at 9.18.14 PM

Which Is Bigger?

Screen Shot 2018-06-01 at 9.18.31 PM

Shape Products

Screen Shot 2018-06-01 at 9.19.02 PM

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

Beach Huts

Screen Shot 2018-06-01 at 9.19.29 PM

Charlie’s Delightful Machine

Screen Shot 2018-06-01 at 9.19.59 PM

1 Step 2 Step

Screen Shot 2018-06-01 at 9.20.29 PM

A Little Light Thinking

Screen Shot 2018-06-01 at 9.20.54 PM

Summing Consecutive Numbers

Screen Shot 2018-06-01 at 9.21.28 PM

Frogs

Screen Shot 2018-06-01 at 9.21.53 PM

Seven Squares

Screen Shot 2018-06-01 at 9.22.49 PM

Tower of Hanoi

Screen Shot 2018-06-01 at 9.23.14 PM

Triangle Numbers

Screen Shot 2018-06-01 at 9.23.35 PM

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 = kx 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