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Visual reasoning |
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CONTENTS |
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| Visual reasoning |
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Workout |
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36 slides |
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| Further visual reasoning |
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Library |
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8 questions |
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Once you have registered, you can work through the slides one by one.
The workout comprises a series of sides that guide you systematically through the topic concept by concept, skill by skill. The slides may be used with or without the support of a tutor. The methodology is based on problem-solving that advances in logical succession by concept and difficulty. The student is presented with a problem or series of questions, and the next slide presents the fully-worked solution. To use the material you must sign-in or create an account.
blacksacademy.net comprises a complete course in mathematics with resources that are comprehensive.
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SAMPLE FROM THE WORKOUT |
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SLIDE 1 - QUESTION 1 |
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SLIDE 2 - SOLUTION |
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SAMPLE FROM THE LIBRARY |
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QUESTION [difficulty 0.2] |
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SOLUTION |
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DEPENDENCIES |
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CONCEPTS |
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LEV. |
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Visual reasoning, fluid reasoning
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466.1 |
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Alternating visual sequence
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466.1 |
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Rotating visual sequence
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466.3 |
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Multiple cycles
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466.7 |
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Folding paper problem
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466.9 |
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Double folding problem
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467.3 |
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Vertical (horizontal) cycle
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467.7 |
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Reflection / symmetry problem
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467.9 |
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Classification by similar / dissimilar property
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468.1 |
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Classification by number property
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468.3 |
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Classification by number property - house format
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469.1 |
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Classification by number property - odd and even
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469.3 |
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Classification by number property - prime / composite
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469.5 |
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RAW CONTENT OF THE WORKOUT |
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| To make use of this chapter, please first register. Then you can work through the slides one by one. |
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| What is provided here is the raw text of the workout. Most of the information is contained in the image files, which are not included with this text. The text may appear deceptively short. (The content overall of blacksacademy.net is vast.) Any in-line questions appear as a question mark [?]. This text is provided only as an indication of the overall quantity of material contained in the chapter. To use the material you must sign-in or create an account. |
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SLIDE 1
Which of the following is the next diagram in sequence?
SLIDE 2
Each corner element is alternating – for example, white triangle, black triangle. The figure in the middle is irrelevant (not important).
SLIDE 3
Which of the following is the next diagram in the sequence?
SLIDE 4
The circle in the middle alternates. The sequence in the corners moves one around – circle, square, pentagon, triangle. The colours in this sequence also alternate – white, grey, black, white.
SLIDE 5
Which of the following is the next diagram in the sequence?
SLIDE 6
Rotating clockwise by an eighth of a circle each time.
SLIDE 7
Which of the following is the next diagram in the sequence?
SLIDE 8
There are three cycles repeating the pattern in four steps, so the arrangement comes back to the starting point.
SLIDE 9
The front of the paper is white and the back is yellow
Draw what you get if the paper is (a) folded forwards and (b) folded backwards
SLIDE 10
SLIDE 11
The front of the paper is white and the back is yellow.
Draw what you will see if the paper is folded forwards along the two dotted lines.
SLIDE 12
SLIDE 13
The front of the paper is white, and the back is grey.
Draw what you get if you fold the paper forwards first along the line marked ? and again if you fold forwards along the line marked ?.
SLIDE 14
SLIDE 15
The front of the paper is white, and the back is grey.
Draw what you get if you fold the paper forwards along the line marked.
SLIDE 16
SLIDE 17
Fill in the missing image.
SLIDE 18
The blocks are shifting down one at each step. The block at the end reappears at the top.
SLIDE 19
Reflect the word “BELL” in the line of reflection. The first letter has been done for you.
SLIDE 20
SLIDE 21
Set A
Set B
To which of these two sets does this belong?
SLIDE 22
Set A
In each, one symbol is repeated and in the same colour
Set B
The symbols are all different
SLIDE 23
Set A
Set B
To which of these two sets does this belong?
SLIDE 24
SLIDE 25
Which is next in the sequence?
SLIDE 26
SLIDE 27
Set A
Set B
To which of these two sets does this belong?
SLIDE 28
It belongs to the top set where there are as many grey squares in the perimeter as there are grey stars in the interior.
SLIDE 29
Set A
Set B
To which of these two sets does this belong?
SLIDE 30
In the top set are as many shaded figures as unshaded figures.
In the bottom set there are twice as many shaded figures as unshaded figures.
SLIDE 31
Set A
Set B
To which of these two sets does this belong?
SLIDE 32
SLIDE 33
Set A
Set B
To which of these two sets does this belong?
SLIDE 34
The first set has an odd number of squares, the second even.
SLIDE 35
Set A
Set B
To which of these two sets does this belong?
SLIDE 36
The first set has a prime number of different symbols; the second set has a composite number of different symbols.
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