MATH for UPCAT (Set 1)

Which of the following fractions has the smaller value? 6/8 or 1/9?

1/9

Convert 1/5

0.20

Euler's number

2.718

The sum of all digits must be divisible by 3 and must be even.

Multiple of 6

The sum of all digits must be divisible by 3.

Multiple of 3

The sum of all digits must be divisible by 9.

Multiple of 9

The last three numbers must be divisible by 8.

Multiple of 8

The last two numbers must be divisible by 4.

Multiple of 4

Take away the rightmost digit, multiply it by 2, subtract the product from the original number without the last digit, repeat until its small already & the answer must be divisible by 7.

Multiple of 7

Put a minus sign, plus sign, minus sign, plus sign.... until you reach the space between the last two digits, compute & the answer must be divisible by 11.

Multiple of 11

perCENT translates to....

per hundred

PEMDAS

Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction

What comes first in PEMDAS, multiplication or division?

It depends on what comes first from left to right

What comes first in PEMDAS, addition or subtraction?

It depends on what comes first from left to right

10 is 5% of what number?

200

Formula for getting the x of y% of what number

100(x/y)

15 1/3 + 5 1/2

20 5/6

5 1/3 - 2 1/2

2 5/6

Covert 5.75 to fraction.

5 3/4 or 23/4

Express as a fraction 0.232323

23/99

If the repeating digit is three, divide the repeating number by

9

If the repeating digit is one, divide the repeating number by

3

If the repeating digit is two, divide the repeating number by

6

Simplify 0.45/3

45/300

Formula for simplifying a fraction that has a decimal point.

0.x/y = 0.x(10/10)/y = x/10y

What is the LCD of the following fractions: 7/4, 8/5, 27/20, 47/40?

40

Which of those has the smallest value?

47/40

A horizontal line used in mathematical notation.

Vinculum Line

Convert 0.461461461 into fraction.461

461/999

Solve for (8/9)(9/10)(10/11)(11/13)

8/13

How to get the percentage of the discount of an item?

Use 1-discounted price/original price

What is 45.2% in fraction?

113/250

Formula for solving percent to fraction.

x% = x/100

In a club of 400 members, 75% of its members play the guitar and 15% of those who play the guitar also play flute. How many of its members play both guitar and flute?

45

Parts of Multiplication

Multiplicand, Multiplier & Product

Parts of Addition

Addend & Sum

Parts of Subtraction

Minuend, Subtrahend & Difference

Parts of Division

Dividend, Divisor & Quotient

What part is 10 of 100?

1/10

Golden Ratio

1.618

How much larger is 3x+1 than 3x-5?

6

How many times larger than a+3b is 9a+27b?

9

What percentage of 30 is 10?

33%

What is 432 increased by 5%?

453.60

What is 123 increased by 20%?

98.4

What is the result if a number is decreased by x%?

Product of that nnumber and (1-x%)

What is the result if a number is increased by x%?

Product of that number ad (1+x%)

Is 1 a prime number or a composite number?

Neither of the two

The lowest an only even prime number

2

A combination of an imaginary and a real number.

Complex Numbers

i = square root of -1

Imaginary number

All terminating decimals and Non-terminating repeating decimals are...

Rational Numbers

All Non-terminating non-repeating decimals are...

Irrational Numbers

Positive integers that have more than two factors.

Composite Numbers

Positive integers whose only actors are 1 and itself.

Prime Numbers

Decimals that end.

Terminating Decimals

Decimals that do not end and does not repeat a certain number endlessly.

Non-terminating Non-repeating Decimals

Decimals that do not end and repeats a certain number endlessly.

Non-terminating Repeating Decimals

Includes all Rational and Irrational Numbers

Real Numbers

Includes all Imaginary Numbers

Irrational Numbers

Includes all Zero and Natural/Counting Numbers

Whole Numbers

Includes all Fractions and Integers

Rational Numbers

Includes all Negative Integers and Whole Numbers

Integers

Roman Numeral (1, 2, 3)

I, II, and III

Roman Numeral (10, 20, 30)

X, XX and XXX

Roman Numeral (100, 200, 300)

C, CC and CCC

Roman Numeral (4, 40, 400)

IV, XL and CD

Roman Numeral (5, 50, 500)

V, L and D

Roman Numeral (6, 7, 8)

VI, VII and VIII

Roman Numeral (60, 70, 80)

LX, LXX and LXXX

Roman Numeral (600, 700, 800)

DC, DCC and DCCC

Roman Numeral (9, 90, 900)

IX, XC and CM

Roman Numeral (1000)

M

Simplify i^234

MCMLIV

1954

1038

MXXXVIII

If the sum of 6 consecutive integers is 69, what is the 3rd integer?

11

If the sum of 4 consecutive even integers is 28, what is the largest even integer?

10

xy = yx

Commutative Property

(x)(1) = x

Multiplicative Identity

x/y = y/x

Multiplicative Inverse

x(y+z) = xy+xz

Distributive Property

x = -x

Additive Inverse

x = y | y = x

Symmetric Property

x = y and y = z | x = z

Transitive Property

x = x

Reflexive Property

x + 0 = x

Additive Identity

(xy)z = x(yz)

Associative Property

Solve 56^2

3136

Arithmetic Sequence

an= a1+(n-1)d

Arithmetic Series (an is present)

Sn=n/2(a1+an)

Arithmetic Series (no an)

Sn=n/2[2a1+(n-1)d]

Geometric Sequence

an=a1r^n-1

Geometric Series (finite)

Sn=a1(1-r^n)/(1-r)

Geometric Series (infinite)

Sn= a1/1-r