Each picture shows 3 similar triangles.
They are called similar because they are the same shape, they have the same angles and the lengths of the edges are in the same ratio. For example in this diagram the edges in each triangle are all in the ratio 2 : 3 : 4 […]
These ‘trisquares’ are made up of three squares and each has an area of 3 square units.
Can you fit them together to make an enlargement of the shape? What is its area?
Can you fit trisquares together to make enlargements of scale factors 3, 4 and 5? What are their areas?
Is it […]
Can you put the numbers 1 to 8 (each number once and only once) into the circles so that the four calculations are correct?
This problem is adapted from the NRICH task A Square of Numbers with permission of the University of Cambridge. All rights reserved.
Try a few of these:
Do human beings live for as long as a million hours?
If you have been alive for a million seconds, how many birthdays have you had?
What year was it one billion minutes ago?
How long would it take to count to a million […]
Find the chosen number from the 100 square.
The number is greater than 9. The number is not a multiple of 10. The number is a multiple of 7. The number is odd. The number is not a multiple of 11. The number is less than 200. Its ones digit is larger […]
In the first square the boxes at the end of each row and the foot of each column give the result of multiplying the two numbers in that row or column.
Can you find 4 consecutive numbers to complete the second multiplication square in the same way?
Make up puzzles for your […]
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 […]
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