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Presidential Schools: Logic and English Tips

Flashcards with logic methods, number tricks and English grammar rules for the Presidential Schools admission test. Original study material.

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Sum of the whole numbers from 1 to n

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Sum of the whole numbers from 1 to n

\frac{n ( n + 1 )}{2}

Number of handshakes among n people

\frac{n ( n - 1 )}{2}

Number of squares of all sizes in an n × n grid

1^{2} + 2^{2} + \dots + n^{2}

Weekday after n days

Divide n by 7 and move forward by the remainder.

Arithmetic sequence

Each term adds the same number, the common difference.

Geometric sequence

Each term is multiplied by the same number.

Square numbers

1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

Fibonacci-type sequence

Each term is the sum of the two terms before it.

Syllogism rule

From 'All A are B' and 'C is A' we can conclude 'C is B'.

Reversing a statement

'All A are B' does not mean 'All B are A'.

Angle between clock hands

Each hour is 30°; the hour hand also moves 0.5° each minute.

Odd one out

Find the rule shared by most items and pick the one that breaks it.

Present simple, third person

Add -s: She plays.

Past of go

Went.

Plural of child

Children.

Plural of knife

Knives.

Comparative and superlative of high

Higher and highest.

Since or for

Since with a point in time; for with a period of time.

Present perfect

have or has plus the past participle.

First conditional

If it rains, we will stay at home.

Passive voice

a form of be plus the past participle.

A or an

Use an before a vowel sound: an apple.

Question word for time

When.

Question word for a person

Who.

Synonym of huge

Enormous.

Antonym of ancient

Modern.

Conjunction showing contrast

But.

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