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BrainTwister #15: Domino strips

#15 Domino strips

Set by Peter Rowlett

There are three ways to cover a 3 × 2 grid with dominoes.

How many ways are there to cover a 4 × 2 grid? What about a 6 × 2 grid?

Can you find a pattern that would help you work out the number of different ways dominoes can be used to cover any n × 2 rectangle?

Solution next week

#14 Factor graphs

Solution

Here’s a factor graph of 1-10:

You can connect every number up to 14, but adding 15 requires drawing lines to 3 and 5, which leads to crossing. If we exclude 1, you can add every number up to 23 (see below – some prime numbers now require no lines), but 24 has too many factors.

 

Quick quiz #247

set by Bethan Ackerley

1 The temperature above which certain materials lose their permanent magnetic properties is named after which scientist?

2 The doughnut-shaped belts of radiation surrounding Earth are named after which physicist?

3 What name is given to the dividing groove down the middle of the tongue?

4 The Hayabusa mission, launched in 2003, brought back material from which asteroid?

5 On which island would you find Mount Tambora, which in 1815 was the site of one of the largest volcanic eruptions in recorded history?


Quick quiz #247

Answers

1 Pierre Curie

2 James Van Allen

3 The median sulcus

4 Itokawa

5 Sumbawa, Indonesia

Article amended on 17 May 2024

We have corrected the diagram for the solution to BrainTwister #14