Factors multiples game

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction? Many thanks to everyone who shared their solutions with our team. We were very impressed by your resilience and perseverence to produce the chains that you submitted to NRICH.

Several of you sent in more than one solution, substituting an earlier chain with an even longer one after spending more time on the challenge. Well done to you all! We've published below a selection of increasingly long chains which have a screenshot showing the full chain, or a list of its factors and multiples. We hope this list inspires you to keep working on your own solutions and perhaps consider the length of the longest possible chain, and the reasons for your answer. Let's begin with Montsaye Community College in Northamptonshire where their students took on the challenge of generating the longest possible chain.

Gabrielle and Lauren reached a total of 50 numbers:. Makenzie, from Mountsaye Community College, managed to improve on this with a chain of 55 numbers: Sophie and Tasmin, also from Mountsaye, managed to improve on that with this chain of 56 numbers:. European History. Middle Ages. Other Social Studies - History. World History. All 'Specialty'. Career and Technical Education. Character Education. Child Care. Classroom Community. Classroom Management. Computer Science - Technology. Critical Thinking.

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This breakout escape room is a fun way for students to test their skills with factors and multiples. Most of my Escape Rooms can be used for distance learning, this one; however, is not recommended for distance learning. Activities , Fun Stuff , Printables. Show more details.

Wish List. Game, Task Cards or Assessment- 4. PDF Activity. Scoot is a fun whole-group activity that can be used in many different ways.

It can be used as a review game, skill practice or even a test! You could even use these cards as task cards for a center or for early finishers. This version of Scoot tests students' knowledge of factors and multiples. Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction? This is a game for two players. The first player chooses a positive even number that is less than 50, and crosses it out on the grid. The second player chooses a number to cross out.

The number must be a factor or multiple of the first number. Players continue to take it in turns to cross out numbers, at each stage choosing a number that is a factor or multiple of the number just crossed out by the other player. The first person who is unable to cross out a number loses. Here is an interactive version of the game in which you drag the numbers from the left hand grid and drop them on the right hand grid.

Alternatively, click on a number in the left hand grid and it will transport to the earliest empty location in the right hand grid. You can rearrange the numbers in the right hand grid by dragging and dropping them in position.

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