List

Year 7 Exploring and noticing

Factors and Multiples Game
game
Favourite

Factors and multiples game

Age
7 to 16
Challenge level
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A game in which players take it in turns to choose a number. Can you block your opponent?

The Number Jumbler
problem

The Number Jumbler

Age
7 to 14
Challenge level
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The Number Jumbler can always work out your chosen symbol. Can you work out how?

Dicey Operations
game
Favourite

Dicey operations

Age
7 to 14
Challenge level
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In these addition and subtraction games, you'll need to think strategically to get closest to the target.

Consecutive Numbers
problem

Consecutive numbers

Age
7 to 14
Challenge level
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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Dicey Operations
game
Favourite

More Dicey operations

Age
7 to 14
Challenge level
filled star empty star empty star

In these multiplication and division games, you'll need to think strategically to get closest to the target.

Dozens
problem

Dozens

Age
7 to 14
Challenge level
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Can you select the missing digit(s) to find the largest multiple?

Your number is...
problem

Your number is...

Age
7 to 14
Challenge level
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Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?
Treasure Hunt
problem

Treasure hunt

Age
7 to 14
Challenge level
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Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Doughnut percents
problem

Doughnut percents

Age
7 to 14
Challenge level
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A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.
Strange Bank Account
problem

Strange bank account

Age
11 to 14
Challenge level
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Imagine a very strange bank account where you are only allowed to do two things...

Beach Huts
problem

Beach huts

Age
11 to 14
Challenge level
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Can you figure out how sequences of beach huts are generated?
Add to 200
problem

Add to 200

Age
11 to 14
Challenge level
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By selecting digits for an addition grid, what targets can you make?

Can you Make 100?
problem

Can you make 100?

Age
11 to 14
Challenge level
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How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?
Fractions Rectangle
problem

Fractions rectangle

Age
11 to 14
Challenge level
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The large rectangle is divided into a series of smaller quadrilaterals and triangles. Can you untangle what fractional part is represented by each of the ten numbered shapes?
Number Families
problem

Number families

Age
11 to 14
Challenge level
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How many different number families can you find?
Almost One
problem

Almost one

Age
11 to 14
Challenge level
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Choose some fractions and add them together. Can you get close to 1?
Parallelogram It
problem

Parallelogram it

Age
11 to 16
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

Up, down, flying around
game
Favourite

Up, down, flying around

Age
11 to 14
Challenge level
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Play this game to learn about adding and subtracting positive and negative numbers

Climbing Complexity
problem

Climbing complexity

Age
11 to 14
Challenge level
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In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?

Have you got it?
problem

Have you got it?

Age
11 to 14
Challenge level
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Can you explain the strategy for winning this game with any target?

Summing Consecutive Numbers
problem

Summing consecutive numbers

Age
11 to 14
Challenge level
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15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

Shady Symmetry
problem

Shady symmetry

Age
11 to 14
Challenge level
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How many different symmetrical shapes can you make by shading triangles or squares?

Square It
problem

Square it

Age
11 to 16
Challenge level
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Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Odds and Evens
problem

Odds and evens

Age
11 to 14
Challenge level
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Are these games fair? How can you tell?
Mirror, mirror...
problem

Mirror, mirror...

Age
11 to 14
Challenge level
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Explore the effect of reflecting in two parallel mirror lines.

Countdown fractions
problem

Countdown fractions

Age
11 to 16
Challenge level
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Here is a chance to play a fractions version of the classic Countdown Game.
Going round in circles
problem

Going round in circles

Age
11 to 14
Challenge level
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Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?
Shifting Times Tables
problem

Shifting times tables

Age
11 to 14
Challenge level
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Can you find a way to identify times tables after they have been shifted up or down?

Attractive rotations
problem

Attractive rotations

Age
11 to 14
Challenge level
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Here is a chance to create some attractive images by rotating shapes through multiples of 90 degrees, or 30 degrees, or 72 degrees or...

Perimeter Expressions
problem

Perimeter expressions

Age
11 to 14
Challenge level
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Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?
Sieve of Eratosthenes
problem

Sieve of Eratosthenes

Age
11 to 14
Challenge level
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Follow this recipe for sieving numbers and see what interesting patterns emerge.

Odds, Evens and More Evens
problem

Odds, evens and more evens

Age
11 to 14
Challenge level
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Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

Magic Letters
problem

Magic letters

Age
11 to 14
Challenge level
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Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?
Shear Magic
problem

Shear magic

Age
11 to 14
Challenge level
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Explore the area of families of parallelograms and triangles. Can you find rules to work out the areas?

On the Edge
problem

On the edge

Age
11 to 14
Challenge level
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If you move the tiles around, can you make squares with different coloured edges?

Connect Three
problem

Connect three

Age
11 to 16
Challenge level
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In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?