Year 7 Exploring and noticing

problem

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Nice or nasty

Age

7 to 14

Challenge level

There are nasty versions of this dice game but we'll start with the nice ones...

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The number jumbler

Age

7 to 14

Challenge level

The Number Jumbler can always work out your chosen symbol. Can you work out how?

game

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Factors and multiples game

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

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Consecutive numbers

Age

7 to 14

Challenge level

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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Dozens

Age

7 to 14

Challenge level

Can you select the missing digit(s) to find the largest multiple?

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Your number is...

Age

7 to 14

Challenge level

Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

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Treasure hunt

Age

7 to 14

Challenge level

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

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Doughnut percents

Age

7 to 14

Challenge level

A task involving the equivalence between fractions, percentages and decimals which depends on members of the group noticing the needs of others and responding.

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Going round in circles

Age

11 to 14

Challenge level

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?

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Shifting times tables

Age

11 to 14

Challenge level

Can you find a way to identify times tables after they have been shifted up or down?

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Perimeter expressions

Age

11 to 14

Challenge level

Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?

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Sieve of eratosthenes

Age

11 to 14

Challenge level

Follow this recipe for sieving numbers and see what interesting patterns emerge.

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Odds, evens and more evens

Age

11 to 14

Challenge level

Alison, Bernard and Charlie have been exploring sequences of odd and even numbers, which raise some intriguing questions...

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Magic letters

Age

11 to 14

Challenge level

Charlie has made a Magic V. Can you use his example to make some more? And how about Magic Ls, Ns and Ws?

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Strange bank account

Age

11 to 14

Challenge level

Imagine a very strange bank account where you are only allowed to do two things...

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Beach huts

Age

11 to 14

Challenge level

Can you figure out how sequences of beach huts are generated?

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Add to 200

Age

11 to 14

Challenge level

By selecting digits for an addition grid, what targets can you make?

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Can you make 100?

Age

11 to 14

Challenge level

How many ways can you find to put in operation signs (+, −, ×, ÷) to make 100?

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Fractions rectangle

Age

11 to 14

Challenge level

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?