Overview

This set of 20 advanced non-verbal reasoning questions focuses on transformation, a key skill tested in the 11+ exam. These questions challenge students to identify how shapes are transformed through rotations, reflections, resizing, and other manipulations. The ability to visualise and understand these changes is crucial for excelling in non-verbal reasoning assessments.

Example Question:

Example 1

Look at the following shape:

Question: If the shape is rotated 90 degrees clockwise, which of the following shows the correct transformation?

Solution:
By visualising the 90-degree clockwise rotation, you can determine that the shape will look different, with the elements repositioned accordingly.

Questions

Basic Transformation Tasks

Question 1

Which of the following shapes is a 180-degree rotation of the given shape?

Question 2

If the shape is reflected vertically, which of the following shows the correct transformation?

Question 3

Which shape represents a 90-degree clockwise rotation of the given shape?

Question 4

Which of the following shapes is a mirror image of the given shape?

Question 5

What does the shape look like after it is resized to be smaller?

Intermediate Transformation Tasks

Question 6

Identify the shape that shows a 270-degree clockwise rotation of the given shape.

Question 7

Which of the following shapes is reflected horizontally and then rotated 180 degrees?

Question 8

If the shape is flipped horizontally, which of the following shows the correct result?

Question 9

Which of the following shows the shape after it is resized to be larger and rotated 90 degrees counterclockwise?

Question 10

Find the shape that results from a vertical reflection followed by a 90-degree rotation.

Advanced Transformation Tasks

Question 11

If the shape is reflected twice, first horizontally and then vertically, which of the following shows the final shape?

Question 12

Which of the following shapes is a result of resizing and rotating the original shape 45 degrees?

Question 13

What does the shape look like after it is rotated 180 degrees and reflected horizontally?

Question 14

Which of the following shapes results from rotating the original shape 90 degrees counterclockwise and flipping it vertically?

Question 15

If the shape is reduced in size and then rotated 270 degrees clockwise, which of the following shows the correct transformation?

Expert-Level Transformation Tasks

Question 16

What is the final shape after being reflected vertically, resized, and then rotated 180 degrees?

Question 17

Which of the following shapes shows a double transformation: rotating the original shape 90 degrees clockwise and reflecting it horizontally?

Question 18

Identify the shape that results from resizing, reflecting vertically, and rotating 180 degrees.

Question 19

What is the final shape after being rotated 270 degrees counterclockwise, resized, and then flipped horizontally?

Question 20

If the shape is reflected vertically, then horizontally, and finally rotated 90 degrees clockwise, which of the following shows the correct transformation?

Answers

Basic Transformation Tasks

  1. The 180-degree rotated shape will appear upside down from its original orientation.
  2. The vertically reflected shape will be a mirror image along the vertical axis.
  3. The 90-degree clockwise rotation will change the position of the shape by one-quarter turn to the right.
  4. The mirror image will reverse the shape along the horizontal axis.
  5. The resized shape will be a smaller version of the original.

Intermediate Transformation Tasks

  1. The 270-degree clockwise rotation will nearly complete a full circle, turning the shape three-quarters.
  2. After reflecting horizontally and rotating 180 degrees, the shape will be inverted.
  3. The horizontally flipped shape will be a mirror image along the horizontal axis.
  4. Resizing and rotating 90 degrees counterclockwise will result in a larger, rotated shape.
  5. The vertical reflection followed by a 90-degree rotation will create a different orientation of the original shape.

Advanced Transformation Tasks

  1. Reflecting twice, first horizontally and then vertically, will result in the shape being flipped in both directions.
  2. The resized and rotated shape will be smaller and slightly turned due to the 45-degree rotation.
  3. Rotating 180 degrees and then reflecting horizontally will result in the shape being inverted.
  4. Rotating 90 degrees counterclockwise and flipping vertically will create a mirrored, rotated shape.
  5. The shape will be smaller and rotated 270 degrees clockwise from its original position.

Expert-Level Transformation Tasks

  1. The final shape after reflection, resizing, and rotation will be both smaller and flipped.
  2. The shape rotated 90 degrees clockwise and reflected horizontally will show changes in both orientation and symmetry.
  3. Resizing, reflecting vertically, and rotating 180 degrees will result in a smaller, inverted shape.
  4. After rotating 270 degrees counterclockwise, resizing, and flipping horizontally, the shape will have a completely different orientation.
  5. The combination of vertical and horizontal reflections followed by a 90-degree clockwise rotation will result in a new position and direction for the shape.

This set of transformation questions is designed to challenge students’ spatial reasoning and mental manipulation of shapes. These tasks help develop the visualisation skills needed to succeed in the non-verbal reasoning section of the 11+ exam, encouraging students to think critically about how shapes can be transformed through rotations, reflections, and resizing.