The input to Function Machine 1 is x. Write down an expression for the output.
If the output is 7 what was the input?
In Function 2, a is constant. If the input is 4 what is the output?
The functions from Function Machines 1 & 2 are combined to give Function […]
The line LP with equation y + x – 2 = 0 is a tangent at L to the circle with centre M(-4 , 4).
LN is a diameter of the circle.
LP is parallel to NQ where P is on the x-axis and Q is on the y-axis.
What equations […]
The diagram shows a circle centre O with points P, Q, R and S on the circumference. UST is a tangent to the circle. Angle RPS = 44º and angle PSO = 32º.
Find angles xº and yº.
Click here to download the CYCLIC worksheet.
Click here for the Notes […]
The graphs and some properties of seven quadratic functions are given here.
The equation of each function is given in three different forms.
Match the graph of each function with the matching equations and properties.
This activitiy is linked to Quadratic Matching 1 which you […]
(1) You are blindfolded. The audience tells you the number in Box B and you can immediately say the numbers in box C and box A.
How is this trick done?
Can you make the trick more impressive?
You can change the x 6 and + 5 to other operations and numbers […]
Whether or not you have plenty of water where you live it is interesting to see how we use water in our homes.
Cape Town in the 2018 dry season has a serious water shortage and water is rationed to 50 litres per person per day, as shown in this poster.
In 2018 Cape Town was in danger of running out of water. Half a billion people in the world face severe water scarcity all year round. Half of the world’s largest cities experience water scarcity
In 2018 the City of Cape Town rationed everyone to 87 litres a day and published this […]
The picture shows you how to use a paper clip to draw circles. You just need to open out the paper clip as shown,
Draw a circle and mark 24 points equally spaced around the circumference. To do this, draw a circle and mark the centre, and mark your first point on […]
How quickly can you find me?
I am a whole number less than 1000.
The product of my digits is 225.
I am not a multiple of 5.
Am I a multiple of 13?
Am I real? Am I rational? Am I irrational?
Now divide me by 11. Is the answer real? […]
Copy this pattern. You could use toothpicks or paper sticks or draw the pattern on isometric paper (download here).
Make or draw the next 3 patterns in the sequence. How would you explain to someone else on the telephone how to do this when you could not point to the diagram?
[…]
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