# Resource Title search

### F'arc'tion

##### Age 14 to 16 Short Challenge Level:

At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube is shaded? Try working out the answer without recourse to pencil and. . . .

### FA Cup

##### Age 16 to 18 Challenge Level:

In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!

### Fac-finding

##### Age 14 to 16 Challenge Level:

Lyndon chose this as one of his favourite problems. It is accessible but needs some careful analysis of what is included and what is not. A systematic approach is really helpful.

### Face Order

##### Age 14 to 16 Short Challenge Level:

How many ways can these five faces be ordered?

### Face Painting

##### Age 7 to 11 Challenge Level:

You want to make each of the 5 Platonic solids and colour the faces so that, in every case, no two faces which meet along an edge have the same colour.

### Facial Sums

##### Age 14 to 16 Short Challenge Level:

Can you make the numbers around each face of this solid add up to the same total?

### Factor Lines

##### Age 7 to 14 Challenge Level:

Arrange the four number cards on the grid, according to the rules, to make a diagonal, vertical or horizontal line.

### Factor List

##### Age 14 to 16 Short Challenge Level:

Tina has chosen a number and has noticed something about its factors. What number could she have chosen? Are there multiple possibilities?

### Factor Sum

##### Age 11 to 14 Short Challenge Level:

Given any positive integer n, Paul adds together the factors of n, apart from n itself. Which of the numbers 1, 3, 5, 7 and 9 can never be Paul's answer?

### Factor Track

##### Age 7 to 14 Challenge Level:

Factor track is not a race but a game of skill. The idea is to go round the track in as few moves as possible, keeping to the rules.

### Factor Trio

##### Age 11 to 14 Short Challenge Level:

Which of the numbers shown is the product of exactly 3 distinct prime factors?

### Factor-multiple Chains

##### Age 7 to 11 Challenge Level:

Can you see how these factor-multiple chains work? Find the chain which contains the smallest possible numbers. How about the largest possible numbers?

### Factorial

##### Age 14 to 16 Challenge Level:

How many zeros are there at the end of the number which is the product of first hundred positive integers?

### Factorial Fragments

##### Age 16 to 18 Challenge Level:

Here you have an expression containing logs and factorials! What can you do with it?

### Factorial Fun

##### Age 16 to 18 Challenge Level:

How many divisors does factorial n (n!) have?

### Factoring a Million

##### Age 14 to 16 Challenge Level:

In how many ways can the number 1 000 000 be expressed as the product of three positive integers?

### Factoring Factorials

##### Age 11 to 14 Challenge Level:

Find the highest power of 11 that will divide into 1000! exactly.

##### Age 16 to 18

This will encourage you to think about whether all quadratics can be factorised and to develop a better understanding of the effect that changing the coefficients has on the factorised form.

### Factorise This!

##### Age 11 to 16 Challenge Level:

Explore quadratics and the power of factorisation

### Factorised Factorial

##### Age 14 to 16 Short Challenge Level:

Weekly Problem 17 - 2010
The value of the factorial $n!$ is written in a different way. Can you work what $n$ must be?

##### Age 14 to 16 Challenge Level:

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

### Factors and Multiples - More Secondary Resources

##### Age 11 to 16

Some extra resources to support work on Factors and Multiples at Secondary level.

### Factors and Multiples - Secondary Resources

##### Age 11 to 16 Challenge Level:

A collection of resources to support work on Factors and Multiples at Secondary level.

### Factors and Multiples Game

##### Age 7 to 16 Challenge Level:

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

### Factors and Multiples Game for Two

##### Age 7 to 14 Challenge Level:

Factors and Multiples game for an adult and child. How can you make sure you win this game?

### Factors and Multiples Graphs

##### Age 14 to 18 Challenge Level:

Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross

### Factors and Multiples KS2

##### Age 7 to 11

This KS2 collection of activities encourages children to explore factors and multiples.

### Factors and Multiples Puzzle

##### Age 11 to 14 Challenge Level:

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

### Factors, Multiple and Primes - Short Problems

##### Age 11 to 16

A collection of short problems on factors, multiples and primes.

### Factors, Multiples and Primes

Working on these problems will help your students develop a better understanding of factors, multiples and primes.

### Factors, Multiples and Primes

Working on these problems will help you develop a better understanding of factors, multiples and primes.

### Fair Exchange

##### Age 5 to 7 Challenge Level:

In your bank, you have three types of coins. The number of spots shows how much they are worth. Can you choose coins to exchange with the groups given to make the same total?

### Fair Feast

##### Age 5 to 11 Challenge Level:

Here is a picnic that Petros and Michael are going to share equally. Can you tell us what each of them will have?

### Fair Shares?

##### Age 14 to 16 Challenge Level:

A mother wants to share a sum of money by giving each of her children in turn a lump sum plus a fraction of the remainder. How can she do this in order to share the money out equally?

### Fair's Fair

##### Age 11 to 14 Short Challenge Level:

Can you design a die which rolls 'fairly' against mine?

### Fake Gold

##### Age 7 to 11 Challenge Level:

A merchant brings four bars of gold to a jeweller. How can the jeweller use the scales just twice to identify the lighter, fake bar?

##### Age 16 to 18 Challenge Level:

Explore the patterns made by many beads sliding down a set of smooth rods

### Family Fortune

##### Age 11 to 14 Short Challenge Level:

If three brothers will get £20 more if they do not share their money with their sister, how much money is there?

### Family Tree

##### Age 7 to 11 Challenge Level:

Use the clues to find out who's who in the family, to fill in the family tree and to find out which of the family members are mathematicians and which are not.

### Fangs

##### Age 11 to 14 Short Challenge Level:

Weekly Problem 7 - 2013
Three of the angles in this diagram all have size $x$. What is the value of $x$?

### Far Horizon

##### Age 14 to 16 Challenge Level:

An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

### Farey Fibonacci

##### Age 16 to 18 Short Challenge Level:

Investigate Farey sequences of ratios of Fibonacci numbers.

### Farey Neighbours

##### Age 16 to 18 Challenge Level:

Farey sequences are lists of fractions in ascending order of magnitude. Can you prove that in every Farey sequence there is a special relationship between Farey neighbours?

### Farey Sequences

##### Age 11 to 14 Challenge Level:

There are lots of ideas to explore in these sequences of ordered fractions.

### Farhan's Poor Square

##### Age 14 to 16 Challenge Level:

From the measurements and the clue given find the area of the square that is not covered by the triangle and the circle.

### Farlingaye High School

Resources to accompany the workshop at Farlingaye High School.

### Farmers Field

##### Age 11 to 14 Challenge Level:

A farmer has a flat field and two sons who will each inherit half of the field. The farmer wishes to build a stone wall to divide the field in two so each son inherits the same area. Stone walls are. . . .

### Farthest Fraction

##### Age 11 to 14 Short Challenge Level:

Which of these fractions is the largest?

### Fast Forward Mathematics

A short description of the Fast Forward Programme.