GENERAL THEORY

Question 1

what does BIDMAS stand for?

Answer 1

1. B - Brackets
2. I - Indices (powers)
3. D - Division
4. M - Multiplication
5. A - Addition
6. S - Subtraction

https://bit.ly/2WT3ADG

Question 2

Fractions:
how to work out, say, 3/5 of 25

Answer 2

Formula:

1. divide the number by the denominator
   25/5 = 5
2. multiply the result by the numerator
   5 x 3 = 15

Question 3

Fractions:
make a number into a fraction of another number - in this instance make 140 a fraction of 320

Answer 3

Formula

1. you present the fraction: 140/320
2. if possible, you simplify the fraction: 7/16

Question 4

23% of 82 - what’s the formula?

Answer 4

(82 x 23) : 100
18.86

Question 5

56/75 - formula for percentage form?

Answer 5

1. Treat the score like a division to be carried out: 56 : 75 = 0.74666
2. and multiply the result by 100
3. 74666 x 100 = 74.67

Question 6

how to work out chance:

Answer 6

number of successes
divided by number of chances

Question 7

write a decimal as a fraction

Answer 7

1. multiply decimal by 10 or a multiple thereof to obtain whole number - that’s your numerator
2. your denominator will be 10 or the multiple thereof that you used to obtain the whole number.

e.g. 0.64
x 100 = 64
Therefore your fraction is: 64/100

Question 8

express a fraction as a decimal

Answer 8

just carry out the division
e.g. 6/10 = 6:10 = 0.6

Question 9

express a decimal as a percentage

Answer 9

just multiply x 100

Question 10

percentage to fraction - how?

Answer 10

you want to state the following:
20% is the same as 20 out of 100,
and so you can write 20/100.
you got your fraction now simplify:
20/100 = 2/10 = 1/5

Question 11

convert mixed number (e.g. 4 7/12) to an improper fraction - how?

Answer 11

1. multiply the whole number by the multiply whole number by fraction’s denominator: 4x12=48
2. add up the product with the fraction’s numerator: 55
3. now place the denominator below the sum: 55/12

Question 12

Any fraction can be written as a decimal or a percentage
(no answer card - just a statement)

Question 13

fractions:
fractions that look different but have the same value are called…?
e.g. ¾ = 6/8

Answer 13

equivalent fractions

Question 14

what do you call a number that is made up of a whole number and a fraction?

Answer 14

a mixed number

Question 15

fractions:
improper fraction to mixed number - how?

Answer 15

1. divide the denominator into the numerator
2. the quotient is the whole number, and the remainder is the numerator of the new fraction

e.g. 37/19 → quotient = 1 and remainder = 18
the improper number is 1 18/19

Question 16

what is probability?

Answer 16

Probability is a measure of the likelihood of something happening.
We can talk about probability in general terms using words, such as: certain, impossible, likely, quite likely, or even chance. However, in a mathematical or business sense, we need to describe probability more accurately, so we use _fractions, _percentages or _decimals_ to do this.

Question 17

1. If something is certain, it has a probability of ?
2. If something is impossible, it has a probability of ?
3. If something has an even chance of happening, it has a probability of ?

Answer 17

1. 1 or 100%
2. 0 or 0%
3. 0.5 or ½ or 50%

Question 18

Probability-
how do you calculate the probability of an event occurring?

Answer 18

initially, it’ll be a fraction:

1. your denominator is the TOTAL number of possible outcomes (e.g. if you throw a dice, there are six possible outcomes, because there are six sides to a cube.) so your denominator would be 6
2. your numerator is the number of desired/speculated/specified outcomes. you could for instance ask what the probability is for you to roll a 5 or a 3. These are two different outcomes, and so, your numerator would 2, and the probability would be 2/6 - which you read as ‘two out of six’.

Question 19

Probability-
different ways of expressing probability?

Answer 19

if you say that the probability of an event occurring is 2 out of 6, the initial notation is a fraction - 2/6.
But you can also present the probability as:

• a decimal: 2 ÷ 6 = 0.3333
• a percentage: 0.3333 x 100 = 33.33%

Question 20

Probability-
Independent events: how do you calculate their combined probability?

Answer 20

you multiply them.

Question 21

Probability-
What is a probability tree diagram?

Answer 21

It’s a useful, visual way to show all of the possible outcomes that could occur. It is particularly useful to use a probability tree diagram to show the possible outcomes of two or more events combined together.

Question 22

What is compound interest?

Answer 22

It is interest on interest.

Question 23

Probability-
in relation to establishing the probability of a number of events happening, what are the three types of events?

Answer 23

• mutually exclusive - events are added up
• independent - events are multiplied
• dependent -