DM

Question 1

‘Nearly’ = slightly less than given figure

Answer 1

Tax threshold - Remember to subtract and find percentage

Question 2

Not all = at least 1

Answer 2

Some = More than 1 but not all

Question 3

‘or’ is not ‘and’

Answer 3

Count delays in timetable, person might not miss bus/taxi because of this

Question 4

‘At least’ - Not always 100%

Answer 4

With probability, be aware if you pick individually or collectively (e.g 3/6 or 1/3 * 1/2)

Question 5

‘Must’ may cause ‘eligibility’ to not follow, so ‘must be eligible’ may not follow

Answer 5

Number of intersects in venn diagram is equal to the number of ‘some’ statements

Question 6

‘Identical funding sources’ (Basically means people in a company have the same amount of shares) - To find individual to 1/X where X is the total amount

Answer 6

If a box is 1/3 (or any other denominator), sum the entire of said box and divide by denominator value

Question 7

Months of the year show seasonal changes (e.g weather, temperature etc.)

Answer 7

Majority = more than 50%

Question 8

Few = Less than 50%

Answer 8

Eyeball for largest discount (https://app.medify.co.uk/m/ucat/practice/completed/2024-08-07:U:FjGB:LYe7/34378)

Question 9

If you need to find the average percentage discount of two things, DO NOT find the average of both percentage discounts, instead do:

difference of both / total sum of both * 100

Answer 9

Not all: 1-99%

Question 10

Make sure the reasoning of data in data syllogisms is concrete and not inferred

This also applies to narrative conclusions: do not make assumptions and only accept evidence which has been given in the text unless prompt has a probability factor (e.g might, may etc.)

Answer 10

When drawing narrative conclusions:

• Ideas are projected outside of the passage, so juist because it is true/false in the passage, it doesn’t mean that it is true in the question
• Definitions are key (e.g ‘some’, ‘many’ ‘all’)

Question 11

‘Impossible’ is a turn off if it appears in the prompt

This is also true for other absolutes such as ‘always’ and ‘never’

Answer 11

Just because a person qualifies for two ‘and’ conditions, it does not mean that they will pass an ‘or’ condition

*not true according to GPT

Question 12

For percentage profit, the value is 1.(percentage)

Answer 12

Understand the graphs they give; they may not necessaritly be linked together

Question 13

In three circle venn diagrams, if told that X, Y and Z are 5 altogether put in centre.

If then told X and Y but NOT Z, then DO NOT minus centre value with given value

Answer 13

Cannot stress this enough, READ and UNDERSTAND the information given in narrative conclusions

Question 14

SYLLOGISM LAW:
Logical assumptions are possible, although should be avoided UNLESS it seems like it is 100% plausible to the prompt

Answer 14

Gear reshift: Use the answer options in the question to find an answer (Keep in mind this is rare, but in the case where it isn’t, it is the only way to get the answer)

e.g (https://app.medify.co.uk/m/ucat/exams/completed/2024-08-15:U:FjGB:lPzG/47631)

Question 15

If told that something triples (or any other multiplier) over the course of a time period (lets say year 2000 to 2020 is tripled) , it is actually 2x.

This is because in 2000, the value is 1x, and in 2020 it is 3x

3x - 1x = 2x
(This is absolute growth, as it represents the change in growth. Tripling would still end in 3x however.)

Keep this in mind in data/logical syllogisms

Answer 15

Data for individuals cannot be concluded from per capita

Question 16

‘Net’ graphs do not simulate the entire scenario

Answer 16

For DM rotating points in a shape question:
1) Move the points at their given orientation as told in the prompt and multiply them together (e.f 4 clockwise, 3 anticlockwise = 4*3)

2) Take away this value with the number of vertices in the shape (e.g if the value is 8 because octagon do 12-8 = 4

3) The 8 is the number of COMPLETE revolutions and the 4 is the number of INCOMPLETE revolutions

4) So the 4 is the number of revolutions apart between the two points

Question 17

Make sure you don’t miss some of the intersections while adding up combinations

Answer 17

There can be an extra person in syllogism that is not named

Question 18

Look for the easiest comparison stem in the question

Answer 18

For assumptions, do not introduce any new variables into the arguement

Question 19

Venn diagrams do not necessarily have to be in the three circle format

Answer 19

Be careful for ‘less than X hours’ and ‘took X hours’ trap

Question 20

If given two percentages and you need to find an unknown total, you can use algebra and represent the total as X and the decimal percentages as (decimal percentage)X

Then use algebra to find the answer

Answer 20

To find the total percentage given two (or more) percentages for a population, find the average of said percentages

if pop is equal

Question 21

Remember that 1 - (percentage of failure) is also an option

Answer 21

Write out the combinations of probabilities possible

Question 22

Odd * odd = odd
odd * even = even
even * even = even

Answer 22

Percentage increase in lowered life expectancy is not equal to a percentage decrease in life expectancy

Question 23

Resurgence - implies that the thing that is resurgent was once popular and not popular right now

Answer 23

Just because a venn diagram adds up to the total amount of pupils given in an option, it does not mean that it is true as it does not take into account the overlaps

Question 24

To find the unknown value of an intersection of a venn diagram, you need to do :
Total membership - (membership - neither)

Answer 24

In salary raises, you SHOULD NOT multiply using 1.(decimal) as it does not represent the raise itself

Only do this if asked to calculate new salary

Question 25

If given a half time/break question an need to find the lengths of each half, the break is included in the playing time so:

70 min playtime total
25 min break

then:

70 - 25 = 45min

45/2 = 22.5 minute halves

Answer 25

X per Y means X/Y

Question 26

Rate = X / Time

Answer 26

Rate can stack as addition (e.g Rate + rate)

NOT multiplied

Question 27

Make a ratio share the same number - do not be scared if it becomes a decimal

Answer 27

For probabilities which mention ‘at least’, do 1 - (probabilities of WHAT YOU DONT WANT)

so if you wanted at least one tails out of 3 coin flips, then you exclude HHH

Question 28

Even chance = 50%

Answer 28

Some vs some questions:

if there is a some statement and the prompt asks if there is ‘some’ items left which is the opposite of the statement, then it must be false as the some statement could be 9/10, leaving 1/10 which is not ‘some’

Question 29

In a deck of cards, there are 26 red, 26 black

Answer 29

Watch out for ‘at least’ statements in syllogisms as if all X like Y,

and asked if There are at least as many Y enjoyers as X

then true

Question 30

If given a venn diagram which only gives value for neither and values which deny a value for each sides, then do value denied in circle - value outside

Answer 30

Make tables for venn diagrams with multiple links

Question 31

Do not take values at face value, there may be traps