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Grade 4 NUMBER SENTENCES
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To make your 7-piece Tangram Puzzle, either make your own tangram pieces from scrap paper as shown in this video or use this diagram and carefully cut out the pieces.
Now use the pieces of your Tangram to make
• An isosceles triangle
• A rectangle
• A […]
This is a classic Chinese Tangram. Each of the people illustrated, and many convex polygons, can be made with the 7 pieces and there are hundreds of other puzzles based on this tangram.
Can you find a way to fold a sheet of paper so that you can cut out the tangram pieces accurately […]
Arrange the 7 tangram pieces to make the shape in the grey picture.
What do you notice about the pattern? Draw the pattern and make a list of what you see in it.
Describe the shapes of the tangram pieces.
What is the same and what is different about the shapes of […]
Find the prime factors of 2022.
How many ways can you arrange the digits 2, 2, 2 and 0 to get different numbers? What is the sum of those numbers?
You can be a creative mathematician, you can be someone who has your own mathematical ideas. Find your own interesting facts about […]
A bag has a large number of green, white, yellow, orange and red sweets (5 flavours).
You pick sweets from the bag without looking. If you pick 2 sweets what different combinations of colours can you get?
Twenty-one gas cylinders are to be loaded onto three lorries.
Seven cylinders are full, seven are half-full and seven are empty.
A full cylinder weighs 50kg and an empty cylinder weighs 20kg.
How should they be loaded onto the lorries so that each lorry is carrying the same weight?
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Suppose you have two 1s, two 2s and two 3s.
Arrange these six digits in a list so that:
between the two 1s there is one digit giving 1?1,
between the two 2s there are two digits giving 2??2,
between the two 3s there are three digits giving 3???3.
[…]
It is not difficult to put a list of decimals in order of size. But what about ordering fractions?
John Farey introduced sequences of sequences of fractions in order of size, now called Farey sequences. Can you discover his method from the following examples?
What patterns do you see in them?
Suppose you have to share 9872 gold coins between 8 people.
You give the coins out in thousands until there are less than 8000 left.
Then you give out one hundred at a time until there are less than 800, then […]
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