Order Of Operations

Question 1

What acronym tells you the order operations should be done is?

Answer 1

BODMAS

Question 2

What does BODMAS stand for?

Answer 2

Brackets, Other, Division,Multiplication, Addition, Subtraction

Question 3

What is another name for BODMAS

Answer 3

BIDMAS

Question 4

What does BIDMAS stand for?

Answer 4

brackets, indices, division, multiplication, addition, subtraction.

Question 5

Restate these fractions as percentages: 1/5, 3/4, 7/20, 14/40

Answer 5

20%, 75%, 35%, 35%

Question 6

Restate these percentages in decimal form: 35%, 100%, 69%, 245%

Answer 6

0.35, 1, 0.69, 2.45

Question 7

What is the reciprocal of a number?

Answer 7

The reciprocal of a number is 1 divided by the number in question.

Question 8

What is the reciprocal of 2?

Answer 8

1/2

Question 9

What is the reciprocal of 7?

Answer 9

1/7

Question 10

What is the reciprocal of 5 stated as a percentage?

Answer 10

20%

Question 11

Which is the reciprocal button on your scientific calculator?

Answer 11

The one with an “x” to the power of “-1”

Question 12

Which button on your calculator uses your last answer?

Answer 12

“Ans”

Question 13

What is an integer?

Answer 13

A whole number - either positive, negative or zero

Question 14

Which these numbers is not an integer: 342, 6/2, 32.1, 65.00, 9/3, 1/4

Answer 14

32.1, 1/4

Question 15

All numbers fall into two categories. What are they called?

Answer 15

Rational and Irrational

Question 16

What three forms do rational numbers appear in?

Answer 16

Integers, Fractions, Terminating or recurring decimals

Question 17

Describe the characteristics of irrational numbers.

Answer 17

They are NEVER-ENDING, NON-REPEATING DECIMALS, and CAN’T BE WRITTEN AS FRACTIONS.

Question 18

What do these numbers have in common: 1,4,9,16,25,36,49,614,81,100,121,144,169,195,225?

Answer 18

They are all square numbers

Question 19

What do these numbers have in common: 1,8,27,64,125,1000?

Answer 19

They are all cube numbers.

Question 20

What is the square root of 36?

Answer 20

6 and -6 6x6=36 -6x-6=36

Question 21

What is a prime number?

Answer 21

A number that is divisible only by 1 or itself.

Question 22

How do you work out if a number is a prime?

Answer 22

The first 4 prime numbers are 2,3,5,7. If the number you are checking is above 5 and ends in 2,4,6 or 8 then it is not a prime. If it ends in 1,3,7 or 9 and can’t be divided by 3 or 7 then it is a prime number.

Question 23

What is the only even prime number?

Answer 23

2

Question 24

What the factors of a number?

Answer 24

They are the numbers that divide into it.

Question 25

What are the factors of 24?

Answer 25

1,2,3,4,6,8,12 and 24 because these multiples all equal 24 1x24 2x12 3x8 4x6 And then the mirror image 6x4 8x3 12x2 24x1

Question 26

What method can you use to express a number as a product of prime factors?

Answer 26

The Factor Tree

Question 27

How would you express 280 as a product of primefactors?

Answer 27

280 28 10 4 7 2 5 2 2 Therefore: 2 cubed x 5 x 7

Question 28

What do LCM and HCF stand for?

Answer 28

Lowest common multiple Highest common factor

Question 29

What is the LCM?

Answer 29

The SMALLEST number that can be divided BY all the numbers in question

Question 30

What is the HCF?

Answer 30

The BIGGEST number that will divide INTO all the numbers in question

Question 31

How do you use prime factors to work out LCM?

Answer 31

Find the primes that appear in EITHER number and multiply them all.

Question 32

How do you use prime fctors to work out the HCF?

Answer 32

Find out which prime factors are REPEATED in each number.

Question 33

What is a another term for cancelling down?

Answer 33

Simplifying or simplification

Question 34

What is another term for simplifying or simplification?

Answer 34

Cancelling down

Question 35

How do you simplify a fraction?

Answer 35

Keep cancelling down until the top and bottom numbers have NO MORE common fcators

Question 36

What is an improper fraction

Answer 36

One where the top number is larger than the bottom number.

Question 37

What is another term for an improper fraction?

Answer 37

A vulgar fraction

Question 38

Express 4 2/3 as a the vulgar fraction.

Answer 38

14/3

Question 39

Write 31/4 as a mixed number

Answer 39

7 3/4

Question 40

When multiplying, what do you do to the powers

Answer 40

Add them

Question 41

When dividing, what do you do to the powers

Answer 41

Subtract them

Question 42

When raising one power to another, what do you do to them

Answer 42

Multiply them

Question 43

What is anything to the power of one?

Answer 43

Itself. It doesn't change at all

Question 44

What is anything to the power of zero?

Answer 44

1

Question 45

What is the number 1 to any power?

Answer 45

1

Question 46

What do you do to Fractions that are to the power of something i.e. the fraction is in brackets and to the power of something.

Answer 46

You apply the power to the top and bottom of the fraction

Question 47

What do you do to something if it is to a negative power?

Answer 47

Turn it upside down and put one over it i.e. 7 to the power of minus 3 is the same as 1 over 7 to the power of 3

Question 48

What does "to the power of a half" mean?

Answer 48

It means the square root

Question 49

What does something to the power of a third mean?

Answer 49

It means the cube root

Question 50

What does something to the power of a quarter mean?

Answer 50

It means the fourth root

Question 51

How do you simplify algebraic fractions

Answer 51

You use the power rules, which are.... multiply is add divide is subtract etc.