List

Year 11 Working systematically

Growing Rectangles
problem

Growing rectangles

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

What happens to the area and volume of 2D and 3D shapes when you enlarge them?

The Better Choice
problem

The better choice

Age
14 to 16
Challenge level
filled star empty star empty star

Here are two games you can play. Which offers the better chance of winning?

Spotting the loophole
problem

Spotting the loophole

Age
14 to 16
Challenge level
filled star empty star empty star

A visualisation problem in which you search for vectors which sum to zero from a jumble of arrows. Will your eyes be quicker than algebra?

Finding factors
problem

Finding factors

Age
14 to 16
Challenge level
filled star empty star empty star

Can you find the hidden factors which multiply together to produce each quadratic expression?

Chances are
problem

Chances are

Age
14 to 16
Challenge level
filled star empty star empty star

Which of these games would you play to give yourself the best possible chance of winning a prize?

Where to Land
problem

Where to land

Age
14 to 16
Challenge level
filled star filled star empty star

Chris is enjoying a swim but needs to get back for lunch. How far along the bank should she land?

Matchless
problem

Matchless

Age
14 to 16
Challenge level
filled star filled star empty star

There is a particular value of x, and a value of y to go with it, which make all five expressions equal in value, can you find that x, y pair ?

LCM Sudoku
problem

LCM Sudoku

Age
14 to 16
Challenge level
filled star filled star empty star

Here is a Sudoku with a difference! Use information about lowest common multiples to help you solve it.

Partly Painted Cube
problem

Partly painted cube

Age
14 to 16
Challenge level
filled star filled star empty star

Jo made a cube from some smaller cubes, painted some of the faces of the large cube, and then took it apart again. 45 small cubes had no paint on them at all. How many small cubes did Jo use?

Same Number!
problem

Same number!

Age
14 to 16
Challenge level
filled star filled star empty star

If everyone in your class picked a number from 1 to 225, do you think any two people would pick the same number?

Training schedule
problem

Training schedule

Age
14 to 16
Challenge level
filled star filled star empty star

The heptathlon is an athletics competition consisting of 7 events. Can you make sense of the scoring system in order to advise a heptathlete on the best way to reach her target?

Odds and Evens made fair
problem

Odds and evens made fair

Age
14 to 16
Challenge level
filled star filled star empty star

In this follow-up to the problem Odds and Evens, we invite you to analyse a probability situation in order to find the general solution for a fair game.

CD Heaven
problem

CD Heaven

Age
14 to 16
Challenge level
filled star filled star empty star

All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at each price?

In a box
problem

In a box

Age
14 to 16
Challenge level
filled star filled star empty star

Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?