Question 1
Determine which set, from the four options, follows the given rule.
Rule: Closed figures gradually become open and open figures gradually become closed.

four sets of figures labelled 1 to 4 for rule detection question 21
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (3) does the large closed figure lose one side at each step (becoming more open) while the small open figure gains one side at each step until it is closed. In the other sets one of the two figures does not change steadily.


solution figure with the correct set highlighted for rule detection question 21
Question 2
Which of the given sets of figures correctly follows the rule below?
Rule: The closed figure becomes more and more open, and the open figure becomes more and more closed.

four sets of figures labelled 1 to 4 for rule detection question 20
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (1) does the large closed figure lose one side at each step (becoming more open) while the small open figure gains one side at each step until it is closed. In the other sets one of the two figures does not change steadily.


solution figure with the correct set highlighted for rule detection question 20
Question 3
Select the set that correctly follows the rule stated below.
Rule: Closed figures gradually become open and open figures gradually become closed.

four sets of figures labelled 1 to 4 for rule detection question 19
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (3) does the large closed figure lose one side at each step (becoming more open) while the small open figure gains one side at each step until it is closed. In the other sets one of the two figures does not change steadily.


solution figure with the correct set highlighted for rule detection question 19
Question 4
Find the correct set of figures that follows the rule given below.
Rule: The figure rotates through 135° clockwise at each step.

four sets of figures labelled 1 to 4 for rule detection question 18
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (4) does the figure turn 135° clockwise at each step. In the other sets it turns 135° anticlockwise, 45° or 90°.


solution figure with the correct set highlighted for rule detection question 18
Question 5
Identify which of the four given sets follows the stated rule.
Rule: The figure rotates through 90° anticlockwise at each step.

four sets of figures labelled 1 to 4 for rule detection question 17
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (2) does the arrow turn 90° anticlockwise at each step. In the other sets it turns 90° clockwise, 45° anticlockwise or 180°.


solution figure with the correct set highlighted for rule detection question 17
Question 6
Pick out the set of figures that follows the rule stated below.
Rule: The figure rotates through 45° clockwise at each step.

four sets of figures labelled 1 to 4 for rule detection question 16
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (4) does the figure turn 45° clockwise at each step. In the other sets it turns 30°, 90° or 15°. Watch the small black square in the corner to follow the turn.


solution figure with the correct set highlighted for rule detection question 16
Question 7
Choose the one set of figures, from the four below, that follows the given rule.
Rule: The number of dots does not follow any pattern as the series moves forward.

four sets of figures labelled 1 to 4 for rule detection question 15
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
In set (2) the numbers of dots are 3, 6, 2, 4, which follow no pattern. In the other sets they follow a fixed pattern: 2, 4, 6, 8; 1, 2, 3, 4; 7, 5, 3, 1.


solution figure with the correct set highlighted for rule detection question 15
Question 8
Determine the set of figures that correctly follows the rule below.
Rule: The number of arrows does not follow any pattern as the series moves forward.

four sets of figures labelled 1 to 4 for rule detection question 14
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
In set (3) the numbers of arrows are 5, 2, 6, 3, which follow no pattern. In the other sets they follow a fixed pattern: 1, 2, 4, 8; 6, 5, 4, 3; 2, 3, 4, 5.


solution figure with the correct set highlighted for rule detection question 14
Question 9
Which set of figures, among the four given, follows the stated rule?
Rule: The number of arrows does not follow any pattern as the series moves forward.

four sets of figures labelled 1 to 4 for rule detection question 13
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
In set (1) the numbers of arrows are 2, 4, 3, 5, which follow no pattern. In the other sets they follow a fixed pattern: 2, 4, 6, 8; 1, 3, 5, 7; 3, 4, 5, 6.


solution figure with the correct set highlighted for rule detection question 13
Question 10
Select the correct set of figures that matches the rule given below.
Rule: The number of sides of the shapes increases by one at each step.

four sets of figures labelled 1 to 4 for rule detection question 12
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Count the sides: only in set (1) do the shapes have 4, 5, 6 and 7 sides. The shapes are irregular, so the sides must be counted rather than judged by look.


solution figure with the correct set highlighted for rule detection question 12
Question 11
Find out which of the four sets of figures follows the given rule.
Rule: The number of sides of the shapes decreases by one at each step.

four sets of figures labelled 1 to 4 for rule detection question 11
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (3) do the shapes have 8, 7, 6 and 5 sides, decreasing by one at each step. In the other sets the number of sides does not go down by one every time.


solution figure with the correct set highlighted for rule detection question 11
Question 12
Identify the set of figures that correctly obeys the rule stated below.
Rule: The number of sides of the shapes increases by one at each step.

four sets of figures labelled 1 to 4 for rule detection question 10
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (2) do the shapes have 3, 4, 5 and 6 sides, increasing by one at each step. In the other sets the number of sides does not increase by one every time.


solution figure with the correct set highlighted for rule detection question 10
Question 13
From the four sets shown, select the one that follows the given rule.
Rule: A figure formed by curved lines alternates with a figure formed by straight lines.

four sets of figures labelled 1 to 4 for rule detection question 9
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (4) does a figure made of curved lines alternate with a figure made of straight lines. In each of the other sets, two figures of the same kind come one after the other.


solution figure with the correct set highlighted for rule detection question 9
Question 14
Determine which set of figures follows the rule given below.
Rule: A figure formed by curved lines alternates with a figure formed by straight lines.

four sets of figures labelled 1 to 4 for rule detection question 8
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (2) does a figure made of curved lines alternate with a figure made of straight lines. In each of the other sets, two figures of the same kind come one after the other.


solution figure with the correct set highlighted for rule detection question 8
Question 15
Choose the set, from the options below, that follows the stated rule.
Rule: A figure formed by curved lines alternates with a figure formed by straight lines.

four sets of figures labelled 1 to 4 for rule detection question 7
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (4) does a figure made of curved lines alternate with a figure made of straight lines. In each of the other sets, two figures of the same kind come one after the other.


solution figure with the correct set highlighted for rule detection question 7
Question 16
Pick the set of figures that correctly follows the given rule.
Rule: The series becomes more complex as it proceeds.

four sets of figures labelled 1 to 4 for rule detection question 6
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (1) does each figure keep everything from the figure before it and add one more line, so the figures become more complex step by step. In the other sets a line is removed, moved or the number of lines stays the same.


solution figure with the correct set highlighted for rule detection question 6
Question 17
Which of the four sets of figures follows the rule stated below?
Rule: The series becomes more complex as it proceeds.

four sets of figures labelled 1 to 4 for rule detection question 5
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (3) does each figure keep everything from the figure before it and add one more line, so the figures become more complex step by step. In the other sets a line is removed, moved or the number of lines stays the same.


solution figure with the correct set highlighted for rule detection question 5
Question 18
Find the set of figures, from the four given, that obeys the rule below.
Rule: The series becomes more complex as it proceeds.

four sets of figures labelled 1 to 4 for rule detection question 4
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (3) does each figure keep everything from the figure before it and add one more line, so the figures become more complex step by step. In the other sets a line is removed, moved or the number of lines stays the same.


solution figure with the correct set highlighted for rule detection question 4
Question 19
Select the set of figures that matches the rule stated below.
Rule: Any figure can be traced by a single unbroken line without retracing.

four sets of figures labelled 1 to 4 for rule detection question 3
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (1) can every figure be drawn with one continuous line without lifting the pen or going over a line twice (a figure can be traced this way only if it has 0 or 2 points where an odd number of lines meet). Every other set has at least one figure with more than two such points.


solution figure with the correct set highlighted for rule detection question 3
Question 20
Identify which set of figures follows the rule given below.
Rule: Any figure can be traced by a single unbroken line without retracing.

four sets of figures labelled 1 to 4 for rule detection question 2
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (4) can every figure be drawn with one continuous line without lifting the pen or going over a line twice (a figure can be traced this way only if it has 0 or 2 points where an odd number of lines meet). Every other set has at least one figure with more than two such points.


solution figure with the correct set highlighted for rule detection question 2
Question 21
Study the four sets of figures below and choose the one that follows the stated rule.
Rule: Any figure can be traced by a single unbroken line without retracing.

four sets of figures labelled 1 to 4 for rule detection question 1
A
1✓✗
B
2✓✗
C
3✓✗
D
4✓✗
Explanation
Only in set (2) can every figure be drawn with one continuous line without lifting the pen or going over a line twice (a figure can be traced this way only if it has 0 or 2 points where an odd number of lines meet). Every other set has at least one figure with more than two such points.


solution figure with the correct set highlighted for rule detection question 1
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