Year 9 Working systematically

In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

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

It's easy to work out the areas of most squares that we meet, but what if they were tilted?

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.

Can you guess the colours of the 10 marbles in the bag? Can you develop an effective strategy for reaching 1000 points in the least number of rounds?

How many pairs of numbers can you find that add up to a multiple of 11? Do you notice anything interesting about your results?

Imagine flipping a coin a number of times. Can you work out the probability you will get a head on at least one of the flips?

Can you find the connections between linear and quadratic patterns?

Is there an efficient way to work out how many factors a large number has?

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

What is the greatest volume you can get for a rectangular (cuboid) parcel if the maximum combined length and girth are 2 metres?

Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

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

Can you recreate squares and rhombuses if you are only given a side or a diagonal?

Can you find ways to put numbers in the overlaps so the rings have equal totals?

Nine squares are fitted together to form a rectangle. Can you find its dimensions?

Imagine you have an unlimited number of four types of triangle. How many different tetrahedra can you make?

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?

Can you find a cuboid that has a surface area of exactly 100 square units. Is there more than one? Can you find them all?

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.

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

An aluminium can contains 330 ml of cola. If the can's diameter is 6 cm what is the can's height?

Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?

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

Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?

Using the digits 1 to 9, the number 4396 can be written as the product of two numbers. Can you find the factors?

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

Can you do a little mathematical detective work to figure out which number has been wiped out?