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## Number puzzle

Question 1 |

6 | |

47 | |

2 | |

21 |

Question 1 Explanation:

Looking at the diagram in rows, the central circle equals half the sum of the numbers in the other circles to the left and right of the centre.

Question 2 |

45 | |

20 | |

16 | |

41 |

Question 2 Explanation:

Moving clockwise, around alternate segments in the chain, one sequence decreases by 1, 2, 3 and 4 each time, while the other increases by 2, 3, 4 and 5.

Question 3 |

53 | |

97 | |

4 | |

50 |

Question 3 Explanation:

In each row of the diagram, the sum of the left and right hand digits, minus the central digit is always 8.

Question 4 |

8 | |

29 | |

28 | |

11 |

Question 4 Explanation:

Divide the circle, horizontally and vertically, to give 4 quarters. The sum of the numbers in the segments of each quarter equals 11.

Question 5 |

5 | |

44 | |

36 | |

6 |

Question 5 Explanation:

Working through the diagram in rows, and reading each row as a whole number, the diagram represents a subtraction sum : 203 - 7 = 196

Question 6 |

14 | |

85 | |

39 | |

3 |

Question 6 Explanation:

Moving from left to right, add 6 to the first number to get the next one along, then 8, 10 and 12 to complete the sequence.

Question 7 |

6 | |

40 | |

16 | |

47 |

Question 7 Explanation:

Starting with the top left number, and working down one row at a time, alternating between left and right, double the number each time. Repeat this sequence, starting with the top right number.

Question 8 |

1 | |

18 | |

36 | |

22 |

Question 8 Explanation:

Numbers in segments of the central circle equal the difference between the sum of the numbers in corresponding segments of the left two and right two circles.

Question 9 |

16 | |

35 | |

71 | |

2 |

Question 9 Explanation:

Working in columns, starting with the top number, add 4 to give the next value down, and add 5 to give the one under that.

Question 10 |

11 | |

21 | |

56 | |

43 |

Question 10 Explanation:

In each star, add together the top 3 numbers, and subtract the lower 2 numbers, to give the value in the centre of each star.

There are 10 questions to complete.