Year 8 Being resourceful

Can you match pairs of fractions, decimals and percentages, and beat your previous scores?

Try out these calculations. Are you surprised by the results?

Watch our videos of multiplication methods that you may not have met before. Can you make sense of them?

How many moves does it take to swap over some red and blue frogs? Do you have a method?

Draw some isosceles triangles with an area of $9cm^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

Invent a scoring system for a 'guess the weight' competition.

Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?

Generate three random numbers to determine the side lengths of a triangle. What triangles can you draw?

What happens when you add a three digit number to its reverse?

Gabriel multiplied together some numbers and then erased them. Can you figure out where each number was?

How many different number families can you find?

Which of these pocket money systems would you rather have?

Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: ×2 and -5. What do you think?

Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

Can you work out what step size to take to ensure you visit all the dots on the circle?

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...

A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Watch these videos to see how Phoebe, Alice and Luke chose to draw 7 squares. How would they draw 100?

Use properties of numbers to work out whether you can satisfy all these statements at the same time.

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

Sequences of multiples keep cropping up...

The number in the square is the mean of the four numbers surrounding it. Can you find the missing numbers? 

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

Four friends must cross a bridge. How can they all cross it in just 17 minutes?