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In Durban the average salary is R160,000 and in Cape Town it is R180,000. Mdu moved from Cape Town to Durban.
Mdu has made both cities richer because the average salary has gone up in both due to his move. Can you explain how that could happen?
Describe what is needed for one person moving […]
When you click on ‘Continue Reading’ you see tables showing the ages of two groups of children. Find the average (mean) age in each group.
If Abe leaves his group what happens to the average age in the group?
If Chris leaves the group instead what happens to the average?
If Erin leaves the […]
The smallest number that can be divided exactly by 2, 3 and 4 is 12.
What is the smallest number that can be divided exactly by the numbers 2, 3, 4, 5 and 6?
What is the smallest number that can be divided exactly by the numbers 2, 3, 4, 5, 6, 7, 8 […]
Using all of the digits 1, 2, 3, 4 and 5 exactly once and once only, make two or more numbers, for example: 5, 12 and 34
Multiply these numbers together: 5 x 12 x 34 = 2 040.
Try other arrangements of the digits 1 to 5.
What is the greatest product that […]
Imagine this pattern of squares continuing on and on …
How do you find the coordinates of the centre of square 1 if you know that (0, 3), (3, 4), (4, 1) and (1, 0) are vertices?
What are the coordinates of the centre of the 20th square?
Imagine the sequence of […]
Write the number of twelfths for each fraction to match the colours. Three of the answers are filled in.
The answer to one of these calculations is and the other is . Match one of the pictures to each calculation.
Now for the big challenge. […]
A motorist plans to drive to Cradock. Event X is that he arrives at his destination in less than 3 hours. He estimates that the probability of it snowing is 1/6 and the probability of event X if it snowed is 1/10.
What is the probability that it snows and he gets there in […]
Draw chords to cut a regular hexagon
(a) into two pieces which, when put together, make a parallelogram;
(b) into three pieces which, when put together, make a rhombus;
(c) into four pieces which, when put together, make two equilateral triangles.
(d) What angles can you find in each of your shapes?
(e) If […]
The Towns A, B, C, D, E, F, G, H all lie on the same straight road.
The table shows the distances between pairs of towns.
For example, D is 19 km from G.
Fill in the distances between all the other towns in the table.
Click here to download the […]
Ask a friend to hide a 5c coin in one hand and a 10c coin in the other without showing you which coin is in which hand. Then say to your friend:
“Multiply the amount of money in your left hand by 2 or 4 (whichever you like) and the amount of money in […]
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