Monday, July 31, 2017

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1
Answers: 6 
Explain: 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 center.

2
Answers: 9 
Explain:The number at the center of each triangle equals the sum of the lower two numbers minus the top number.

3
Answers: 19 
Explain: As you move diagonally down, numbers follow the sequence of Prime Numbers.

4
Answers: 16 
Explain: Starting bottom left and moving clockwise around the triangle, numbers follow the sequence of Square Numbers.

5
Answers: 39
Explain:Working from top to bottom, double each number and subtract 1, then 2, then 3 etc.

6
Answers: 4
Explain:Working in columns, the sum of the numbers in each column is always 14.

7
Answers: 6
Explain:The numbers in each row and column add up to 15.

8
Answers: 40
Explain: Moving from left to right, numbers increase by 2,3,4 and 5.

9
Answers: 9
Explain:In each square of the diagram, the sum of the numbers is always 22.

10
Answers: 16
Explain: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.

11
Answers: 7
Explain: Starting with the numbers in the top row, and following straight lines through the center of the diagram, subtract the middle number from the top number to give the corresponding value on the bottom row.

12
Answers: 13
Explain: In each circle, starting at the top left segment, numbers increase, as you move clockwise, by 2 for the upper left circle, 3 for the upper right, 4 for the lower right and 5 for the lower left.

13
Answers: 3
Explain: In each group of 3 numbers, the lower number equals the average of the top two numbers.

14
Answers: 1
Explain:Reading each row as a 3 digit number, the rows follow the sequence of square numbers, from 17 to 19.

15
Answers: 8,1
Explain:Reading each row as 3 separate 2-digit numbers, the central number equals the average of the left and right hand numbers.



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