Posts by: toni
The wall painting on the house in this photo shows geometric transformations: reflections, rotations and translations. The symmetries of a design are the transformations that leave the pattern looking exactly the same.
Assume that the parts of the design that look the same are identical and that they only appear different because […]
Everyone in the class must shake hands with everyone else and say hello, or bow to each other in a one-to-one greeting. Everyone must join in. How many handshakes (or bows) will there be altogether?
This will be difficult to count, especially if you have a large class. Try the problem in […]
The letters A, B, C, D, E, F, G and H correspond to the numbers from 0 to 7 with no repetitions.
Use the clues that A+C=A and F×D=F to find the values of two letters.
Use the clues B−G=G and B/H=G to find the value of another three letters.
Use the clues A+H=E […]
INDIVIDUAL OR WHOLE CLASS ACTIVITY
Sort these quadrilaterals into 4 sets of 4 and describe the properties of each set.
.GROUP ACTIVITY – groups of 4
Cut out 16 cards and mix them up.
Give each member of the group 4 cards. They must give their cards to other members of the […]
When I went into a classroom earlier this week a child rushed up to tell me she was 8 that day!
Well, Happy Birthday to everyone who has a birthday today!
Whatever age you are, can you find a variety of questions that give your age as the answer? This […]
In the diagram the line OS is perpendicular to the lines OR and PQ.
The line RS is a tangent at P to the circle centre O and radius 1 unit.
Find the lengths OQ, PQ, PS, OS, OR and RP.
If OS and OR lie on the coordinate axes, what are the coordinates […]
It is my birthday and in 15 years’ time, my age will be the square of my age 15 years ago!
Can you work out how old I am?
Now I am thinking “Was there ever a time in my life when I had other special birthdays?”
Could I have said:
“In 3 […]
Which of the graphs represents the function ?
The table below gives equations of the exponential functions shown in the graphs and descriptions of transformations, but jumbled up. Use your knowledge of transformations of functions to match the graphs to their equations and to the descriptions of the transformations.
Cut up a […]
How many right-angled triangles of different sizes can you make by joining the dots on the 5 by 5 spotty grid?
Describe your triangles and say what geometrical properties they have.
You can download […]
This rectangle measures three units by one unit.
The diagram shows three angles a, b and c.
How many ways can you prove that a + b = c?
What other interesting properties can you find?
When this activity was originally published on NRICH, two boys from Madras School in St Andrew’s, Scotland sent […]
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