Can you find the chosen number from this square using the clues below?
1. The number is odd.
2. It is a multiple of three.
3. It is smaller than 7 x 4.
4. It has an even tens digit.
5. It is the greater of the two possibilities.
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See the Inclusion and Home Learning Guide for related activities on the same topic for ages 4 to 18+.
How many factors does 72 have?
Investigate numbers that are products of a square number and a cube number. How many factors do they have?
How does the number 1 behave in the world […]
This is a game for 2 players. You need a pack of 52 playing cards. Shuffle the cards. One player is dealer and turns the cards face up one at a time. Before seeing the card, the other player must say ‘red’ or ‘black’ and wins […]
This square is one unit and it is split into smaller parts. Label each part with the fraction it shows.
How many green rectangles make one unit?
How many small red squares make one unit?
How many small blue rectangles make one unit?
How many small pink rectangles make one unit?
Which […]
The aim of the game is to make a number as close to half a million as possible. Which of the numbers in the table is closest to half a million?
This game uses ten cards numbered 0, 1, … 9. The cards are put face down and mixed up.
Each player […]
Watch the video about the Metre Cube and Scale.
How many children can fit inside a metre cube (1 metre by 1 metre by 1 metre)? How many adults?
How many cubic centimetres (1 centimetre by 1 centimetre by 1 centimetre) can fit inside a metre cube?
[…]
In a group of 23 people there is more than a 50% chance that two will have the same birthday? Does that surprise you?
Including February 29th how many different birthdays can there be? Start with any 3 people A, B and C. What is the probability that B has a different birthday from […]
The probability that there are two people in a group with birthdays in the same month depends on the size of the group.
What if the group has more than twelve people?
What about a group of 2 people? What is the probability they have birthdays in different months?
Both 9 and 10 can be made up in 2 different ways by adding pairs of the numbers 1, 2, … 6, that is
9 = 3 + 6 = 4 + 5
10 = 4 + 6 = 5 + 5
Explain why it is that when you throw two dice you are more […]
There are many investigations and projects you could do based on the Sierpinski Tetrahedron.
For a start: how many small tetrahedra, like the blue model shown, were used to make the 6.5 metre high red balloon model shown below.
The smallest tetrahedron (Stage 0), the blue model, is made from 6 balloons, each […]
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