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Reversible Primes

Age 11 to 14
ShortChallenge Level Yellow star
Secondary curriculum
  • Problem
  • Solutions

Answer: 9

2 __, 4 __, 6 __, 8 __  reverse even
1 __
11: reverse 11  
13: reverse 31  
15 not prime
17: reverse 71  
19: reverse 91 = 7$\times$13  

31: already counted as 13
33, 35 not prime
37: reverse 73  
39 not prime

5 __  reverse multiples of 5

77 not prime
79: reverse 97  

9 __ already counted via reverse (except for 99, not prime)

5 ticks which are 4 pairs plus 11
Total 9

You can find more short problems, arranged by curriculum topic, in our short problems collection.

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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