List

Year 7 Exploring and noticing

Nice or Nasty
problem
Favourite

Nice or nasty

Age
7 to 14
Challenge level
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There are nasty versions of this dice game but we'll start with the nice ones...
The Number Jumbler
problem
Favourite

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?
Factors and Multiples Game
game
Favourite

Factors and multiples game

A game in which players take it in turns to choose a number. Can you block your opponent?

Consecutive Numbers
problem
Favourite

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.

Dozens
problem
Favourite

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
Favourite

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
Favourite

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
Favourite

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.
Going round in circles
problem
Favourite

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
Favourite

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?

Perimeter Expressions
problem
Favourite

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
Favourite

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
Favourite

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
Favourite

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?
Strange Bank Account
problem
Favourite

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
Favourite

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
Favourite

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
Favourite

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
Favourite

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
Favourite

Number families

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

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
Favourite

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.

Dicey Operations
game
Favourite

Dicey operations

Who said that adding, subtracting, multiplying and dividing couldn't be fun?

Up, down, flying around
game
Favourite

Up, down, flying around

Play this game to learn about adding and subtracting positive and negative numbers

Have you got it?
problem
Favourite

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
Favourite

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?

Square It
problem
Favourite

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
Favourite

Odds and evens

Age
11 to 14
Challenge level
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Are these games fair? How can you tell?
Countdown fractions
problem
Favourite

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.
Connect Three
problem
Favourite

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?