Starting with the 3 circles in the top row, add together values in corresponding segments of the left and right hand halves of the left hand circle, and put the results in corresponding segments of the left hand half of the central circle. Repeat this pattern for the left and right hand segments of the right hand circle. For the lower row, follow the same pattern, but calculating the differences between values in the left and right hand halves of the left and right hand circles, putting the results in the central circle.

Working from left to right, numbers represent the reverse alphabetical values of the vowels in the alphabet. I.e There are 5 Vowels A, E, I, O, U. A = 1 = Reverse alphabetical number = 26. E = 5 = 22 I = 9 = 18 O = 15 = 12 So, U = 21 =6. Missing Number = 6.

Working in rows, from top to bottom, and reading each row as a 4 digit number, rows follow the sequence of Cube Numbers, from 13 to 16. So, In the last row, there will be cube of 16. 16 * 16 * 16 = 4096. Thus, Missing Element = 6.

Working from top to bottom, and reading each pair of boxes as a 2 digit number, add 10 to the first number to give the next one down, then add 15, and 20 to complete the sequence. So, Missing Number = 46 + 20 = 66. Thus, Missing Digit = 6.

Logic (Row-wise): Central Element = Difference of Left and Right elements 7 - 4 = 3 6 - 2 = 4 So, 9 -3 = 6. Missing Element = 6.

For each star, add the outer numbers together and divide by 3 for the left hand, 4 for the centre, and 5 for the right hand, putting the result in the centre. For Left Circle: 7 = ( 6 + 4 + 2 + 6 + 3)/3 Right Circle: 5 = (5 + 3 +2 + 9 +1)/4 So, for Bottom Circle, 7 = (11 + 6 +5 + 7 + X)/5 35 = 29 + x x = 6 Missing Number = 6.

Logic: 12 12 + 1 + 2 = 15 15 + 1 + 5 = 21 21 + 2 + 1 = 24 24 + 2 + 4 = 30 So, 30 + 0 + 3 = Missing Number. Missing Number = 33. Thus, Missing Digit = 3.

Add together numbers in corresponding segments of the upper two and lower left circles to give the values in corresponding segments of the lower right circle. So, Missing Number = 2 +6 + 4 = 12.

As you move from left to right, the sum of the digits in each circle forms a sequence of multiples of 6, from 6 to 30. So, 2 + 1 + 3 = 6 8 + 2 + 2 = 12 9 + 6 + 3 = 18 4 + 6 + 14 = 24. So, 11 + 6 + x = 30 x = 13.

Starting on the top left, and moving clockwise around the diagram, add the first two values together to give the next value along. So, Missing Element = 7 + 11 = 18.

Moving from left to right, numbers follow the sequence of square numbers, from 6 to 10, subtracting 4 each time. So, Missing Element = 10 * 10 - 4 = 96.

Reading each pair of numbers in a row as a 2 digit number, values increase by 6 each time. Thus, Bottom element = 53 + 6 = 59. Required Missing element = 9.

Reading each column as a 3 digit number, moving from left to right, the columns follow the sequence of cube numbers of 5, 6 and 7. Last column Number = 7 * 7 * 7 = 343. So, Missing Number = 3.

In each star, the central value equals the sum of the upper and lower digits on each star, subtracting the sum of the left and right hand digits. So, Missing Number = 9 + 7 + 6 - 5 - 4 = 13.

In each circle, double the numbers on the left hand side and put the result in the opposite segment on the right hand side. So, x * 2 = 12. x = 6.

Calculating the sum of the 3 numbers in each row, from top to bottom, the rows follow the sequence of 11, 13, 15 etc. i.e. 3 + 5 + 3 = 11 2 + 4 + 7 = 13 8 + 4 + 3 = 15 6 + 2 + 9 = 17 So, 2 + 11 + x = 19 x = 6. Missing Element = 6.

Start with the row of 4 numbers in the centre of the diagram, and add adjacent pairs of numbers together, putting the results in the circles directly above. Repeat this pattern for the next row up. Next, calculate the difference between adjacent numbers in the middle row, putting the results in the circles directly below. Repeat this pattern for the next row down.

Start with the numbers along the top right diagonal of the diagram, and add pairs of adjacent numbers together, putting the result in the square to the lower left of the original pair of numbers. Continue in this way towards the lower left hand corner. I.e 4 + 2 = 6 2 + 1 = 3 6 + 3 = 9 So, 1 + x = 7 x = 6

Add together numbers in corresponding segments of the upper 2 squares, and put the results in the middle square. Numbers in the lower left square equal the product of the upper left and central squares, and numbers in the lower right square equal the product of the upper right and central squares.

Taking numbers in diagonally opposite squares, calculate their sum, and put the answer in the small, inner square of the upper number. Calculate their difference, and put this answer in the small, inner square of the lower number. So, 3 + x = 12 x = 9. Or. x - 3 = 6 x = 9. Missing Element = 9.

Numbers in the top right hand grid equal the sum of the numbers in corresponding positions in the upper and lower left hand grids, and numbers in the lower right hand grid equal the difference between numbers in corresponding positions in the upper and lower left hand grids.

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. So, In Third Column: 7 + 4 = 11 and 11 + 5 = 16. Missing element = 16.

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. So, 5 + 5 + 6 - 3 -2 = x. x = 11.

Logic: Central Number = Difference of the sum of number in left Column and numbers in right column. So, Missing Element = (4 + 2 + 6) - (1 + 3 +2) = 6.

In each slice of the circle, the difference between the outer and middle numbers is written in the inner segment of the opposite slice. So, Missing Element = 4 - 2 = 2.

Calculate the difference between adjacent numbers in the centre of each oval and put the result in the space between the two ovals in the opposite side of the diagram. So, x - 1 = 3 x = 4. Missing element = 4

Logic (Row-wise): Central Number = Left + Right Number + 2. Missing Element, 6 + x + 2 = 11. x = 11 - 8 x = 3.

Working from top to bottom, left to right, add together the first two numbers and subtract 3 to give the next value along. So, Missing Number = 37 + 58 - 3 = 92.

In each diagram, the number at the top equals the average of the four lower numbers. So, 9 = (8 + 3 + 11 +x )/4 9 * 4 = 22 + x x = 36 - 22 = 14. Missing Element = 14.

Left to right, double each number and add 7 to give the next number down. 12 12 * 2 + 7= 31. 31 * 2 + 7 = 69. 69 * 2 + 7 = 145. 297 * 2 + 7 = 601. Missing Number = 601.