List

Year 9 Being Collaborative

What does random look like?
problem
Favourite

What does random look like?

Age
11 to 14
Challenge level
filled star empty star empty star
Engage in a little mathematical detective work to see if you can spot the fakes.
Generating Triples
problem
Favourite

Generating triples

Age
14 to 16
Challenge level
filled star empty star empty star
Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?
Diamond Collector
game
Favourite

Diamond collector

Collect as many diamonds as you can by drawing three straight lines.

What's it worth?
problem
Favourite

What's it worth?

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

There are lots of different methods to find out what the shapes are worth - how many can you find?

Cinema Problem
problem
Favourite

Cinema problem

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

A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

How far does it move?
problem
Favourite

How far does it move?

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

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Reflecting Lines
problem
Favourite

Reflecting lines

Age
11 to 14
Challenge level
filled star empty star empty star
Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
Translating Lines
problem
Favourite

Translating lines

Age
11 to 14
Challenge level
filled star empty star empty star
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
Fill Me Up
problem
Favourite

Fill me up

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

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

What numbers can we make now?
problem
Favourite

What numbers can we make now?

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

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

Product Sudoku
problem
Favourite

Product Sudoku

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

The clues for this Sudoku are the product of the numbers in adjacent squares.

Tower of Hanoi
problem
Favourite

Tower of Hanoi

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

The Tower of Hanoi is an ancient mathematical challenge. Working on the building blocks may help you to explain the patterns you notice.

How Many Miles To Go?
problem
Favourite

How many miles to go?

Age
11 to 14
Challenge level
filled star filled star filled star
How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
Ben's Game
problem
Favourite

Ben's game

Age
11 to 16
Challenge level
filled star filled star filled star
Ben, Jack and Emma passed counters to each other and ended with the same number of counters. How many did they start with?
Efficient cutting
problem
Favourite

Efficient cutting

Age
11 to 14
Challenge level
filled star filled star filled star
Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. The cylinder must be closed off by a circle at each end.