FDP Loops

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 one end and 1/10 at the other end. Then 9/10 matches with 90% and 3/4 with 75% to complete the square. This uses 4 of the dominoes below.

Can you use all 16 dominoes to make 4 domino loops?

Note that in some countries the decimal point is replaced by a decimal comma so that for example $0{\cdot}6$ or $0.6$ is written $0,6$

Click here to download the FDP LOOPS worksheet.

Click here for the AIMSSEC Notes for Teachers.

This problem is adapted from the NRICH task Doughnut Percents with permission of the University of Cambridge. All rights reserved.

Also play the interactive game ‘Matching Fractions, Decimals and Percentages on NRICH https://nrich.maths.org/1249