# Equations and Formulae Stage 4 - Short Problems

### Weekly Problem 1 - 2008

##### Stage: 3 and 4 Challenge Level:

Given that the number 2008 is the correct answer to a sum, can you find n?

### Weekly Problem 11 - 2008

##### Stage: 3 and 4 Challenge Level:

The mean of three numbers, x, y and z is x. What is the mean of y and z?

### Weekly Problem 26 - 2008

##### Stage: 3 and 4 Challenge Level:

If $n$ is a positive integer, how many different values for the remainder are obtained when $n^2$ is divided by $n+4$?

### Weekly Problem 35 - 2008

##### Stage: 3 Challenge Level:

A child's box of bricks contains cubes, cones and spheres. Can you work out how many spheres will balance a single cone?

### Weekly Problem 24 - 2009

##### Stage: 3 Short Challenge Level:

Each letter stands for a different digit, and S is non-zero. Which letter has the lowest value?

### Weekly Problem 27 - 2010

##### Stage: 3 Short Challenge Level:

This pattern repeats every 12 dots. Can you work out what a later piece will be?

### Weekly Problem 32 - 2010

##### Stage: 3 Short Challenge Level:

For what numbers are each of these statements true? How many of the statements can be true at the same time?

### Weekly Problem 42 - 2010

##### Stage: 3 Short Challenge Level:

Can you find the solution to this equation? Each of the different letters stands for a different number.

### Weekly Problem 4 - 2011

##### Stage: 3 and 4 Short Challenge Level:

10 must remain within easy reach...

### Weekly Problem 2 - 2014

##### Stage: 3 and 4 Challenge Level:

Weekly Problem 2 - 2014

### Weekly Problem 3 - 2015

##### Stage: 3 and 4 Challenge Level:

Weekly Problem 3 - 2015

### Weekly Problem 42 - 2015

##### Stage: 3 and 4 Challenge Level:

Weekly Problem 42 - 2015