If you hang two weights on one side of this balance, in how many different ways can you hang three weights on the other side for it to be balanced?
Can you hang weights in the right place to make the equaliser balance?
Investigate this balance which is marked in halves. If you had a weight on the left-hand 7, where could you hang two weights on the right to make it balance?
Use the number weights to find different ways of balancing the equaliser.
Can you work out how to balance this equaliser? You can put more than one weight on a hook.
Meg and Mo still need to hang their marbles so that they balance, but this time the constraints are different. Use the interactivity to experiment and find out what they need to do.
If you were to set the X weight to 2 what do you think the angle might be?
Can you work out how many spheres will balance a single pyramid?
Attach weights of 1, 2, 4, and 8 units to the four attachment points on the bar. Move the bar from side to side until you find a balance point. Is it possible to predict that position?
Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?
Have a go at balancing this equation. Can you find different ways of doing it?
Can you work out some different ways to balance this equation?
Imagine a very strange bank account where you are only allowed to do two things...
Mo has left, but Meg is still experimenting. Use the interactivity to help you find out how she can alter her pouch of marbles and still keep the two pouches balanced.
Who will be the first investor to pay off their debt?
Explore the mathematics behind the famous Wheatstone Bridge circuit.
A merchant brings four bars of gold to a jeweller. How can the jeweller use the scales just twice to identify the lighter, fake bar?
Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do.
An article which gives an account of some properties of magic squares.
This feature includes articles and tasks which will support you in encouraging algebraic thinking throughout primary school.
Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?
You'll need to think a little differently to have a go at the challenges in this feature. Don't be afraid to have a go and try something out!
Investigate different ways of making £5 at Charlie's bank.
Try these activities to find out more about what it means to be thinking algebraically.
You have been given nine weights, one of which is slightly heavier than the rest. Can you work out which weight is heavier in just two weighings of the balance?
Resources to support the teaching and learning of moments of forces (M1)
Given information about the mean, can you work out the missing numbers?
Resources to support the teaching and learning of centres of mass
Resources shared at Mathematical Resilience Conference, March 2017
Here are some exciting activities for you - have a go at them and then see what happens if you change one of the little questions. You may be able to change it more than just once!
There are 12 identical looking coins, one of which is a fake. The counterfeit coin is of a different weight to the rest. What is the minimum number of weighings needed to locate the fake coin?
A simple method of defining the coefficients in the equations of chemical reactions with the help of a system of linear algebraic equations.
Exploring balance and centres of mass can be great fun. The resulting structures can seem impossible. Here are some images to encourage you to experiment with non-breakable objects of your own.
Using balancing scales what is the least number of weights needed to weigh all integer masses from 1 to 1000? Placing some of the weights in the same pan as the object how many are needed?
You have twelve weights, one of which is different from the rest. Using just 3 weighings, can you identify which weight is the odd one out, and whether it is heavier or lighter than the rest?
One of N coins is slightly heavier than the others. How large can N be if the coin can be determined with only two weighings with a set of scales?
Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?
In these activities, you can practise your skills with adding and subtracting. You can also solve problems about what happens when we add or subtract different numbers!
In these activities, you can practise your skills with adding and taking away. You can also solve problems about what happens when we add or take away different numbers!
Resources to accompany Charlie's workshop.
Try these upper primary tasks if you want to improve your understanding of fractions, decimals, ratio and proportion.
This article for teachers sets out some ideas for introducing children to some of the concepts at the root of mechanics.
Lynne suggests activities which support the development of primary children's algebraic thinking.
Live for solutions upper primary
These KS2 tasks encourage learners to take a closer look at fractions.
Primary live problems.
Most primary teachers are not maths specialists. Do letters seem threatening when they are not in words? How can we minimise what seems to be the difference between primary and secondary. . . .