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GCSE Mathematics Edexcel > Order Of Operations > Flashcards

Order Of Operations Flashcards

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1
Q

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

A

BODMAS

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2
Q

What does BODMAS stand for?

A

Brackets, Other, Division,Multiplication, Addition, Subtraction

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3
Q

What is another name for BODMAS

A

BIDMAS

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4
Q

What does BIDMAS stand for?

A

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

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5
Q

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

A

20%, 75%, 35%, 35%

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6
Q

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

A

0.35, 1, 0.69, 2.45

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7
Q

What is the reciprocal of a number?

A

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

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8
Q

What is the reciprocal of 2?

A

1/2

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9
Q

What is the reciprocal of 7?

A

1/7

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10
Q

What is the reciprocal of 5 stated as a percentage?

A

20%

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11
Q

Which is the reciprocal button on your scientific calculator?

A

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

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12
Q

Which button on your calculator uses your last answer?

A

“Ans”

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13
Q

What is an integer?

A

A whole number - either positive, negative or zero

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14
Q

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

A

32.1, 1/4

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15
Q

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

A

Rational and Irrational

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16
Q

What three forms do rational numbers appear in?

A

Integers, Fractions, Terminating or recurring decimals

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17
Q

Describe the characteristics of irrational numbers.

A

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

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18
Q

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

A

They are all square numbers

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19
Q

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

A

They are all cube numbers.

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20
Q

What is the square root of 36?

A

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

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21
Q

What is a prime number?

A

A number that is divisible only by 1 or itself.

22
Q

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

A

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.

23
Q

What is the only even prime number?

A

2

24
Q

What the factors of a number?

A

They are the numbers that divide into it.

25
Q

What are the factors of 24?

A

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

26
Q

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

A

The Factor Tree

27
Q

How would you express 280 as a product of primefactors?

A

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

28
Q

What do LCM and HCF stand for?

A

Lowest common multiple Highest common factor

29
Q

What is the LCM?

A

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

30
Q

What is the HCF?

A

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

31
Q

How do you use prime factors to work out LCM?

A

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

32
Q

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

A

Find out which prime factors are REPEATED in each number.

33
Q

What is a another term for cancelling down?

A

Simplifying or simplification

34
Q

What is another term for simplifying or simplification?

A

Cancelling down

35
Q

How do you simplify a fraction?

A

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

36
Q

What is an improper fraction

A

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

37
Q

What is another term for an improper fraction?

A

A vulgar fraction

38
Q

Express 4 2/3 as a the vulgar fraction.

A

14/3

39
Q

Write 31/4 as a mixed number

A

7 3/4

40
Q

When multiplying, what do you do to the powers

A

Add them

41
Q

When dividing, what do you do to the powers

A

Subtract them

42
Q

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

A

Multiply them

43
Q

What is anything to the power of one?

A

Itself. It doesn’t change at all

44
Q

What is anything to the power of zero?

A

1

45
Q

What is the number 1 to any power?

A

1

46
Q

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.

A

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

47
Q

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

A

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

48
Q

What does “to the power of a half” mean?

A

It means the square root

49
Q

What does something to the power of a third mean?

A

It means the cube root

50
Q

What does something to the power of a quarter mean?

A

It means the fourth root

51
Q

How do you simplify algebraic fractions

A

You use the power rules, which are….

multiply is add

divide is subtract

etc.

GCSE Mathematics Edexcel (1 decks)

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