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The diagram shows a septagon ABCDEFG in which the lengths GA, AB, BC, CD, DE, EF are all equal and FG = 6 units. The area of the square BDFG is half the area of the septagon. Find the perimeter of the septagon.
If three of the four expressions: 2x – 3 and x + 8 and 2x + 3 and 30 – x are equal, find their value and which expression is the odd one out.
Copy and label the diagram and explain the connection between the diagram and the first part of the […]
Add up these 3 equations. What do you notice?
Find the values of x, y and z.
Now add up all 5 equations given below. What do you notice?
b + c + d + e = 4
a + c + d + e = 5
a + […]
Here is an alternative version of the “Think of a Number” trick.
Think of two whole numbers under 10.
Take one of them and add 1.
Multiply by 5.
Add 1 again.
Double your answer.
Subtract 1.
Add your second number.
Add 2.
Double […]
Is it always possible, from any set of five positive whole numbers, to choose three numbers that add up to a multiple of 3?
For example, if you start with 4, 7, 11, 12 and 18, you can choose 4, 11 and 12 which add up to 27 (a multiple of 3).
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Each shape has a different value. The totals for the rows and columns are given. Can you find the values and the total of the first column?
Here’s another, rather easier, puzzle to solve where the methods are the same.
Click here to download the Notes for Teachers.
[…]
In some countries temperature is measured in degrees Celsius (originally called degrees Centigrade) and in other countries it is measured in degrees Fahrenheit.
The freezing point of water is 0 degrees Celsius and 32 degrees Fahrenheit.
The boiling point of water is 100 degrees Celsius and 212 degrees Fahrenheit.
Draw a graph […]
Explain how the diagrams show how to work out 13 times 13 and (x+1) times (x+1).
Draw similar diagrams for 15 times 15 and (x+2) times (x+2).
Draw your own diagrams and use the same method to find the algebraic expressions for and and work out the expansion […]
The ages of children arriving at a zoo in 1 hour are noted by the ticket salesman. There are 12 children between 0 and 3 years old, 14 children between 4 and 10 years old and 48 between 11 and 18 years old.
He draws a bar graph or frequency diagram to represent this […]
The table gives the 2013 population statistics for South Africa.
Complete the table and draw a histogram to represent this data.
Calculate the mean of this distribution. What can you say about the other measures of central tendency (the median and the mode)?
According to news reports in 2013 Johanna […]
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