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Identify the Missing Symbol to Complete the 4 Box Grid

In this worksheet, students will find the missing symbol to complete a grid of six boxes. It will develop their ability to find and follow patterns in shapes and symbols.

'Identify the Missing Symbol to Complete the 4 Box Grid' worksheet

Key stage:  KS 2

Curriculum topic:  Spatial and Non-Verbal Reasoning

Curriculum subtopic:  Complete the Grid

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

It’s time to be a puzzle perfecter!

 

In these questions, we have been given a grid and we need to work out the missing puzzle piece.

Grids can follow a horizontal pattern which goes across or a vertical pattern which goes up or down.

To find the missing puzzle piece, we first need to think about what the pattern might be.

 

Here are some example patterns and how they change in the grid:

 

Pattern Example Grid
 Number of shapes increases.
 Shading gets lighter/darker. 
 Size of the image increases/decreases.
 The image rotates (turns).
 The number of sides of the shapes in the image increases. 

 

 

Take a look at this example:

 

Which of the following images would complete this grid?
a)         b)         c)         d) 

 

The pattern in this case is horizontal.

In each square of the grid, the number of sides of each shape increases by one each time. So the answer is c!

 

 

It’s now your turn to find the missing puzzle piece in grids.

Remember to decide if it is horizontal or vertical when working out what the pattern is. Good luck puzzle champ!


Pssstt!! Here’s a handy hint to help you reach superstar status:

Always rule out any obviously incorrect answers.

Identify ALL the statements below which apply to this grid. 

 

The shapes on the left are black.

The shapes on the left face the same direction.

The shapes on the right are white.

The shapes in the top row match.

The triangles in the bottom row are flipped.

The shapes on the right align to the right-hand side.

Using your observations from the previous question, complete the grid below with the image that best fits. 

 





Identify ALL the statements below which apply to this grid. 

 

The lines on the left are black.

The lines on the left have the same orientation.

The shape on the right is white.

The shape in the top row has a white circle.

The shapes on the right align on the left hand side.

All the shapes are centrally aligned.

Using your observations from the previous question, complete the grid below with the image that best fits. 

 





Identify ALL the statements below which apply to this grid. 

 

The bottom row has shapes with black outlines.

The shapes on the right are identical.

The colours on the top row are inverted.

The orientation of the shapes is different on the top row to the bottom.

The shape on the right is a triangle.

The shape on the right is a pentagon.

Using your observations from the previous question, complete the grid below with the image that best fits. 

 

​​





Identify ALL the statements below which apply to this grid. 

 

Each box contains a rectangle which is half white and half black.

The shapes on the right are identical in size and orientation.

The shapes on the top row have rotated by a quarter turn from those on the bottom.

The orientation of each of the shapes is different.

The images on the right are reflected.

The images on the left are inverted.

Using your observations from the previous question, complete the grid below with the image that best fits. 

 

​​​





Identify ALL the statements below which apply to this grid. 

 

There are black shapes on the left and white shapes on the right.

The shapes on the right have different outlines.

There are 2 triangles in both shapes on the top row but they are in different positions.

The shapes on the top row have been rotated by a quarter turn.

On the left the triangles are touching at a point, on the right they are touching along a line.

The images all involve shapes cut into two halves.

Using your observations from the previous question, complete the grid below with the image that best fits. 

 

​​​​





  • Question 1

Identify ALL the statements below which apply to this grid. 

 

CORRECT ANSWER
The shapes on the left are black.
The shapes on the right are white.
The triangles in the bottom row are flipped.
The shapes on the right align to the right-hand side.
EDDIE SAYS
There are several useful observations which a top grid detective can make here. Firstly, we have black shapes on the left and white shapes on the right. The triangles on the bottom row are flipped or reflected, so instead of pointing upwards, they point down. Finally, the triangles on the right align to the right. This means that they are orientated in the right-hand side of the square. Have you heard of alignment before? It means the position of the shapes WITHIN their square of the grid. Now let's apply these observations to actually work out the answer...
  • Question 2

Using your observations from the previous question, complete the grid below with the image that best fits. 

 

CORRECT ANSWER
EDDIE SAYS
From the previous question, we identified that the missing image would need to have white triangles that were flipped (so pointing downwards) and aligned to the right-hand side of their box. This means that option c is the best fit. Well done for putting those clues together! Let's try another...
  • Question 3

Identify ALL the statements below which apply to this grid. 

 

CORRECT ANSWER
The lines on the left are black.
The shape on the right is white.
The shape in the top row has a white circle.
All the shapes are centrally aligned.
EDDIE SAYS
Nice try, puzzle detective! The most useful observations here focus on the lines. The lines on the left are both black and they are the same size, but they have a different orientation. The lines on the right of the bottom row, match the orientation of those on the left, but the colour has changed. We can also see that in the top row, a white circle has been added to the lines which seems significant too. Let's put these clues together now to solve this problem...
  • Question 4

Using your observations from the previous question, complete the grid below with the image that best fits. 

 

CORRECT ANSWER
EDDIE SAYS
Sometimes when you are completing grid questions like this the answer can be ambiguous. This means that you might be able to argue for several options to fit in the grid, but you need to find the very BEST fit to be correct. In this grid, we expect the missing image to have white lines to match with the square below it, so this rules out option b. We would expect there to be a circle as in the square to the side, so this rules out option a. Now we must choose between options c and d. What we have learnt from our observations of the bottom row is that the images are identical except for the change of colour. If we apply this logic to options c and d, we find that option d is the best fit as the colours are contrasting. Phew, that was a tricky one! That's why we will practise finding the BEST answer, not the only answer, moving forwards.
  • Question 5

Identify ALL the statements below which apply to this grid. 

 

CORRECT ANSWER
The bottom row has shapes with black outlines.
The colours on the top row are inverted.
The orientation of the shapes is different on the top row to the bottom.
The shape on the right is a pentagon.
EDDIE SAYS
We need to focus on the colours of the shapes here puzzle detective. We can see that the shapes in the bottom row have the same colour and orientation, that is they have a black outer and white inner and are pointed downwards. The shapes on the right match in size and type, but the colours have been inverted. This means that the position of the black and white segments has switched. Have you noticed something else about the shapes on the right puzzle detective? On the left-hand side the pentagon is in the top square but on the right-hand side it is in the bottom square. Take a moment to create what you think the missing image will be in your mind before moving on to the next question.
  • Question 6

Using your observations from the previous question, complete the grid below with the image that best fits. 

 

​​

CORRECT ANSWER
EDDIE SAYS
Did you imagine that option a would be the solution? Well done if you did! Don't worry if not though, as these questions take some time to master. Let's walk through how to reach the answer step by step. Firstly, we knew that the missing shape should be a triangle to match the shape in the bottom left square. This rules out option d which is a pentagon. We were looking for a white border with a black inner to match the square on the right, which rules out option c. Looking at the right-hand side of the grid, we can see that the images have flipped, so that the tip of the pentagon is pointing downwards in the bottom row and pointing upwards in the top. It seems that the triangle with the tip pointed upwards will then be the best fit, which is option a.
  • Question 7

Identify ALL the statements below which apply to this grid. 

 

CORRECT ANSWER
Each box contains a rectangle which is half white and half black.
The shapes on the top row have rotated by a quarter turn from those on the bottom.
The orientation of each of the shapes is different.
EDDIE SAYS
In this grid we can see that the images are almost identical, however their orientation is different in all three boxes of the grid. Did you spot that the shapes on the top row have been rotated by a quarter of a turn? This is a key piece of information, but be careful not to confuse this with an inversion or reflection. Now try and apply this knowledge to find the image that will best complete the grid.
  • Question 8

Using your observations from the previous question, complete the grid below with the image that best fits. 

 

​​​

CORRECT ANSWER
EDDIE SAYS
How did you do, puzzle detective? Did you spot that option b was the best fit here or were you unsure of which option to choose? First of all, let's remember our observations - we know that the orientation of the shapes is rotating so that the black segment of each rectangle is on a different position in all three squares of the grid. Straightaway we can rule out option a because it has a different outline, and option c because it is not the same shape. This leaves us with options b and d to choose from. All of the rectangles in the grid are either horizontal and vertical, so if we rotate these through a quarter turn we will always get back to either a vertical or horizontal position. Therefore, we can rule out option d, as it not horizontal or vertical. So option b must be the best fit with the rest of the pattern.
  • Question 9

Identify ALL the statements below which apply to this grid. 

 

CORRECT ANSWER
There are black shapes on the left and white shapes on the right.
There are 2 triangles in both shapes on the top row but they are in different positions.
On the left the triangles are touching at a point, on the right they are touching along a line.
The images all involve shapes cut into two halves.
EDDIE SAYS
Some good observations to make here involve the different colours between left and right, and the position of the two triangles in images in the top row. On the left they are joined at a point, and on the right they are joined along a line. Use this information to help you reach an answer in the final question.
  • Question 10

Using your observations from the previous question, complete the grid below with the image that best fits. 

 

​​​​

CORRECT ANSWER
EDDIE SAYS
Did you choose option c as the best match here? It is the best fit as it follows the pattern of the shapes in the row above by joining the circles at the tip rather than along the edge. It also follows the pattern that the images on the left are black. Option b would not be the best fit as it has a different orientation to the shape above. How are you finding these questions now top detective? Are you ready to step it up?
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