Currently viewing the tag: "Fractions"
Choose one of the 7 Pelmathism Games, they are all played to the same rules. The cards illustrate numbers and show them written as fractions, decimals and percentages. Each number occurs twice in the pack of 36 cards in 2 of the possible representations.
Shuffle the cards and place them face down […]
The square is one unit and it is split into smaller parts. Copy the picture and label each part with the fraction it shows.
Which coloured bits would you use to show that two eighths equals one quarter?
Which coloured bits would you use to show that two sixteenths equals one […]
This is a classic Chinese Tangram. Each of the people illustrated, and thirteen 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 […]
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?
Click here to download […]
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?
BUILD A FRACTION WALL
This wall is 1 unit wide. It shows one unit and two half units.
Click here to download the FRACTION WALL 30-minute lesson instructions and worksheet. Cut out the strips. Rearrange the order of the strips to build a wall with smaller and […]
Both these two numbers are recurring decimal fractions. The digits 12 are repeated again and again indefinitely.
0.12121212…
12.12121212…
Multiply the first number by 100. What do you get?
Subtract the smaller number from the bigger one. What do you get?
What does this tell you […]
The aim is to make square domino loops, like the one in the picture, from 4 dominoes matching the fractions, decimals and percentages. Start with any domino and find 2 other dominoes to match the ends of the first domino.
For example, the [3/10 and 10%] domino matches with 30% at […]
Can you find the easy way to calculate this square root without doing any long division?
Hint: Think of factors!
Click here for the EASY CALC worksheet.
Click for The EASY CALC Notes for Teachers
Click here for the EASY CALC poster.
In a small village two thirds of the adult men are married to three quarters of the adult women.
How big is the smallest village for which this is true?
Can you describe the population of other villages for which this is true?
Click here to download the […]
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