Umat s3 Sample

UMAT

SECTION THREE - FIRST EDITION

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COMPLETE THE DIAGRAM

PART ONE

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UMAT

SECTION THREE - FIRST EDITION

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COMPLETE THE DIAGRAM

PART ONE

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UMAT

SECTION THREE - FIRST EDITION

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UMAT

SECTION 3 - FIRST EDITION

1-5 Question 1: E This question does not follow an obvious rule regarding a triad of circles interacting, as most do. It is important to realise that there are new shapes being introduced in every circle. To approach such style of question, you must carefully observe differences and similarities between the components of the diagram that are next to each other. It can be noticed that circles horizontally next to each other differ by only 1 shape inside. The diagram flows from left to right, with one of the four shapes inside a circle being replaced by another. Question 2: B Complete the diagram questions that appear as grids should always be approached by considering patterns in either rows or columns. In this case, the pattern is very simple: the pentagons in each row added together must have circles on each of the five vertexes, with no overlaps. The same rule applies down the columns. Question 3: C With virtually all grid style questions, it is important to divide the diagram into columns and rows for consideration. In this case, the diagram can be divided into nine 3x3 components, with each component consisting of 4x4 small squares. Now, track the position of the black square going across the row. It moves diagonally 1 square up and to the right. When it goes beyond the top square of a particular column, it will reappear at the bottom of the subsequent column in the same 4x4 component. There are 4 grey squares that are lined around the boundaries of the 4x4 squares. Across the rows, these move two spaces clockwise. The light grey squares have the same pattern for all four corners of diagram. Question 4: A In typical 3x3 grids, it is crucial to regard everything in terms of rows and columns, and attempt to generate an overall rule. In each row there is: one white star, one grey star, and one black star; and there is also one white background, one grey background, and one black background. The aim is to balance all rows. A grey star and a white background are missing from the bottom row, hence the answer A. Question 5: B Exploring the rules within the rows and columns is key to determining the answer quickly. As there does not appear to be an organized format of positioning of objects, it is likely that the rule will involve counting of objects. In each row there are 4 suns and 2 crescents. Amongst the 6 total objects, two are coloured black. In the last row, there are already 2 white objects, and 1 black objects: missing is 1 black object and two white ones.

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COMPLETE THE DIAGRAM - SOLUTIONS

ANSWERS

6-11 Question 6: C It is essential to determine relationships in the triad of circles before attempting to find the missing segment of the overall pyramid formation. The key point is to compare the position of the objects of the bottom to that of the top. The positions are added to each other, with crosses in the same place cancelling. The sum of the middle circles consists of a cross in the centre of the circle, a cross on the right and two crosses on the top left. These top left crosses negate one another resulting in a cross in the centre and on the right of the circle. Thus C is the correct answer. Question 7: E Looking at opposites sides of the diagram does not give results. In this question, the key is to see the outside boundary as a sequence. In this case, there is a repeating pattern of 4 shapes: heart – circle – diamond – sun. That order must be follow specifically, which rules out A, B and D. Question 8: A Assess the rows and columns for a consist rule that can be applied. The objects are irregular, which suggests that counting sides would be valuable. In row 1, 4+3=7, and row 2, 4+4=8. The final row has an octagon (8) and crescent (2), giving 10 total sides as with the 5 pointed star. Question 9: B Each row should be treated as though a mathematical equation. The position of the black and white circles, and their interaction is integral to solving the question. In the first row, it can be deduced that: nothing + white = white, white + nothing = white, black + nothing = nothing. In the second row, black + black = black. This is sufficient information to determine the answer, as there are no additional equations that need to be known. Question 10: A Add the bottom two circles of the triad together to produce the top. Like shapes are carried to the top, while the others are eliminated. Only the lightning bolt is common in the middle two segments, which will be present in the top segment. Question 11:D Consider the inside and outside faces as separate circuit. The circle moves along the edges of the cubes, and appears every third edge on the inside circuit. The behind face has circles appearing every second edge.

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