Working Systematically - Lower Secondary

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

How many solutions can you find to this sum? Each of the different letters stands for a different number.

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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.

Powers of numbers behave in surprising ways. Take a look at some of these and try to explain why they are true.

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

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.

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

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

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

On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

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

Can you find a way to identify times tables after they have been shifted up or down?

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

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

How many questions do you need to identify my quadrilateral?

15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?

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?

We started drawing some quadrilaterals - can you complete them?

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

In how many ways can you fit all three pieces together to make shapes with line symmetry?

Take an equilateral triangle and cut it into smaller pieces. What can you do with them?

Can you find triangles on a 9-point circle? Can you work out their angles?

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

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

A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...

I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?

The illustration shows the graphs of fifteen functions. Two of them have equations $y=x^2$ and $y=-(x-4)^2$. Find the equations of all the other graphs.