Unit 13 Section 1 : Pictorial Logic

In this section we will see how to continue patterns involving simple shapes.

Example Question

Continue these two patterns by drawing the next 5 shapes in each case:

Draw your answers out on paper then compare them with the solutions below.

Solution

In part (a), the pattern consists of four shapes which repeat.
To extend the pattern, we simply need to think about what five shapes would appear next:
Original pattern:
Extended pattern:

In part (b), the pattern is made up of triangles with squares inbetween. The number of squares separating each triangle is increasing at each stage. The pattern can be extended by adding four squares and another triangle:
Original pattern:
Extended pattern:

 

Exercises

Work out the answers to the questions below and fill in the boxes. Click on the Click this button to see if you are correct button to find out whether you have answered correctly. If you are right then will appear and you should move on to the next question. If appears then your answer is wrong. Click on to clear your original answer and have another go. If you can't work out the right answer then in some cases you can click on Click on this button to see the correct answer to see the answer.

Click on this image below to change the shape. In some of these questions you need to continue patterns using shapes. By repeatedly clicking on the "Click here" boxes, a variety of shapes will be displayed. If you pass the shape you wanted, keep clicking (the shapes repeat).

Question 1
Add the next five shapes to each of the repeating patterns below:

(a)
...

(b)
...

(c)
...

(d)
...

Question 2
Add the next five shapes to each of these patterns:

(a)
...

(b)
...

(c)
...

(d)
...

(e)
...

(f)
...

(g)
...

(h)
...

Question 3
Use pen and paper to continue these patterns until you obtain a shape which is five units long.
Fill in the position at which you obtain a shape which is five units long in the box below each pattern.

(a)
The first shape which is five units long appears at position

(b)
The first shape which is five units long appears at position

(c)
The first shape which is has five squares appears at position

(d)
The first shape which is five units long appears at position

(e)
The first shape which is five units long appears at position

(f)
The first shape which is five units long appears at position

Question 4
Consider the pattern of shapes below:

(a) What is the 3rd shape in the pattern?

(b) What is the 15th shape in the pattern?

(c) What is the 30th shape in the pattern?

(d) What is the 31st shape in the pattern?

Question 5
Consider this pattern of shapes:
Use the "Click Here" boxes to answer each of the questions below:

(a) What is the 8th shape?

(b) What is the 20th shape?

(c) What is the 21st shape?

(d) What is the 19th shape?

Question 6
Consider this pattern of shapes:

(a) What is the 11th shape?

(b) What is the 20th shape?

(c) All the shapes in odd-numbered positions are:

(d) How long is the 4th shape?
units

(e) How long is the 8th shape?
units

(f) How long is the 20th shape?
units

Question 7
Consider this pattern of shapes:
Use the "Click Here" boxes to answer each of the questions below:

(a) What is the 4th shape?

(b) What is the 8th shape?

(c) What is the 16th shape?

(d) What is the 17th shape?

(e) What is the 40th shape?

(f) What is the 38th shape?


You have now completed Unit 13 Section 1
Your overall score for this section is
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There were questions with wrong answers.
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Produced by A.J. Reynolds January 2001