A Challenging Raven’s Matrices

Which of the 8 options best fits as the missing tile?

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Clue: Think of the tiles as going from left to right across all 9 tiles. This means that tile 3 is connected to tile 4 and tile 6 is connected to tile 7.

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Answer: Tile 5.

Think of the tiles as connecting across all 9 tiles. Tile 3 is connected to tile 4 and tile 6 is connected to tile 7. Using this process, the pattern on the tiles connects to make one long shape. The right side of the 8th tile has the two lines leaving the tile at the top-right corner and 80% down the right side of the tile. Tile 5 is the only option that would connect to these two lines. The image below shows the completed pattern, when all 9 tiles are laid out and connected:

The Raven’s Advanced Progressive Matrices Test

A few months ago, I wrote an article about and linked to the Standard Raven’s Progressive Matrices (RPM) test. This is a test of non-verbal abstract reasoning. The test consists of a series of geometric designs with a missing piece. You are presented with six to eight possible choices and your challenge is to determine which of these options best fits the missing piece.

After scouring the internet, I have managed to find the Advanced RPM test- set II. This test consists of 36 questions of increasingly complex difficulty. Several high-IQ societies accept a high score on the Advanced RPM test as qualification for admission. There are no interactive versions of the Advanced RPM test online so you will have to write down your answers and mark them yourself (the answers are provided in both of the links below).

Take the Advanced Raven’s Progressive Matrices test here: https://web.archive.org/web/20170707220206/http://splushka.com/intellect.htm (there is also another intelligence test in this link for measuring IQ up to 160).

Here is a Google Drive document containing the Advanced Raven’s Progressive Matrices test: https://drive.google.com/file/d/1QlyZkyy8wKkcVcFNB8pf1uslgEuo8Z9N/view

The table below indicates the translation from the number of correct answers in the Advanced RPM test to IQ.

A Challenging Raven’s Matrices Puzzle

Today’s puzzle comes from Mensa Norway. Which of the 6 options should replace the question mark?

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Clue: Black and white squares should be treated independently. Think in terms of adding and subtracting squares.

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Answer: C.

Black and white squares should be treated independently. When a square (black or white) appears on the same side, it adds up and when it appears on the opposite side, it subtracts. For example, in the first row, we have one black square on the left in the first space and one black square on the left in the second space. As they appear on the same side (the left) they are additive and the third space should have two black squares on the left. The first space has two white square on the left and the second space has two white square on the right. When squares of the same colour appear on opposite sides, there is a subtractive effect so in this case 2-2 means they cancel out. This means the third space contains no white squares.

The logic works both horizontally and vertically with the first two spaces combining to form the third space.

Regarding the third row, we have one black square on the left in the first space and this remains as the second space is void of black squares. In the first space we have one white square on the left and three white squares on the right. This means we subtract so we are left with two white squares on the right. This is option C.

A Challenging Raven’s Matrices

Which of the six options should replace the question mark?

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Clue: You need to work out the rules for this puzzle For example, a dot + a dot = a square.

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Answer:

This Raven’s Matrices involves working out what the rules are for adding specific elements. If you look at an individual item (e.g. something in the top left of an image) and add it to the same positioned item in a new square that is either one across or one down, then you equal the item in the final row or column. Using this logic you can determine the rules for this specific Raven’s Matrices:

dot + dot = square

square + nothing = square

dot + nothing = dot

square + dot = nothing

square + square = dot

Applying this logic to either the final row or final column, we end up with a square in the top left, a square in the top right, a dot in the bottom left and a dot in the bottom right. This is option ‘E’.

Raven’s Progressive Matrices

Which of the 8 symbols best completes the Raven’s Matrices?

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Clue: Positive and negative numbers are relevant to this question.

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Answer:

One method to work out the answer is to attribute positive numbers to every knot on the outside of the circle and negative numbers to every knot on the inside of the circle. The final row and column are the answers.

This makes the rows read:

3 – 4 = -1

2 + 1 = 3

5 – 3 = ?

The columns read:

3 + 2 = 5

-4 + 1 = -3

-1 + 3 = ?

It is clear that to complete both the row and column equations, the answer is 2 which is represented by the two knots on the outside of the circle which is option ‘5’.

You can take the full Raven’s test for free, here: https://psycho-tests.com/test/raven-matrixes-test

Only A Bright Person Can Solve This Sequence

What symbol should replace the question mark in the above sequence? The 5th symbol in the sequence shouldn’t be in the sequence for certain people.

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Clue: A word is written out.

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Answer:

When the sequence is rotated 90 degrees clockwise or viewed with the right end of the sequence being the base of the page, the letters COLOUR?UL appear. When the question mark is replaced with the letter ‘F’ on its side, the word COLOURFUL appears. The 5th symbol in the sequence ‘U’ isn’t used by people from certain countries when spelling the word ‘colourful’ hence the sequence should appear different for them.

A Raven’s Matrices Puzzler

What tile should replace the question mark?

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Clue: Superimpose the first and second images to produce the third image for each row and column. A process needs to be applied to the overlapping features to produce the third images.

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Answer: Tile ‘A’ should replace the question mark. To produce the third column or third row, you need to retain the lines that overlap when the first and second images are superimposed. Flip the result along the x-axis to produce the final image.

Applying this logic to the third row, the first and second large squares both contain the horizontal line and the dot on the upper right side. When these features are flipped along the x-axis, ‘A’ is produced.

One of the World’s Most Challenging Raven’s Matrices

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Clue: You need to overlap the above two images to produce the bottom row of images. If outer lines overlap a set of rules is produced. If inner lines overlap, another set of rules is created.

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Answer: Option 2

The Raven’s matrices consists of:

A. The inner, thinner lines that protrude from the centre circle.

B. The outer, thicker lines that don’t touch the inner circle

Essentially you need to superimpose the above two images to create the bottom row image and follow the rules:

The bottom row is produced by the following rule: If ‘A’ overlaps above it, the line remains. If ‘A’ only occurs once above it, the line vanishes.

The bottom row is also produced by a rule: If ‘B’ overlaps above it, the line vanishes. If ‘B’ only occurs once above it, the line remains.

There is also a pattern used to produce the last column of images. It is the reverse of the rows production rules.

We can determine the missing image by following the row rules or the column rules.

For this answer we will use the explained row rules.

There are two images directly above the missing image. When these two images are superimposed certain inner lines overlap. The line at 12 o’clock and the line at 6 o’clock. Following the row rules, inner lines that overlap remain so our answer contains an inner line at 12 o’clock and an inner line at 6 o’clock.

Now we can focus on the outer lines in the superimposed image. The top right diagonal and bottom right diagonal lines only occur once and following the row rules for outer lines, these lines remain.

This produces option 2 as the answer.

A Raven’s Matrices Type Puzzle

The above sequence is missing one square. Which of the below squares fits most accurately?

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Clue: Think of the circles as independently moving by one square at a time in a certain direction.

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Answer: Option A (the first option)

The left circle moves around the grid clockwise whilst the right circle moves around the grid anti-clockwise (both one square at a time). This reduces the options to A and D. The triangles in the sequence all appear in the corners or the centre. They also seemingly alternate between touching and non-touching. The only option that fulfils all of these criteria is A.

A Shapely Ravens

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Clue: Each shape appears once in each row and column. Also a variant of each shape appears once in each row and column.

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Answer: H.

There is a trapezium, a square and a shape with a curved base. Each of these shapes appears once in every row and every column. There are three variants of each shape: the shape itself, the shape with a small part removed from the top horizontal line and the shape with the entire top horizontal line removed. Each of these variants appears once in each row and once in each column.

The only shape missing from the last row and last column is the trapezium. The only variant missing from the last row and last column is the shape with a small part removed from the top horizontal line of the shape. Combining these two features leaves us with shape ‘H’.