Block one

Question 1

state some of the main percentages to remember

Answer 1

50% - 1/2
25% - 1/4
10% - 1/10
66 2/3% - 2/3
33 1/3% - 1/3

Question 2

What are the steps to solve Appreciation

Answer 2

• add your percentage onto 100 to give you your decimal e.g 1.043
• then times by however many years or months e.g (1.043) *6
• then times by your original value
  (1.043)*6 x 125000
  = £ 160,900

Question 3

steps to solve depreciation

Answer 3

• take away your percentage from 100 to give you your decimal (0.92)
• then times by the power of years or months (0.92)3
  Then times by the original value
  (0.92)x 820 = 638

Question 4

how to reverse a percentage change
e.g after a 5% pay rise, Laura is paid £1260 every month. How much was she paid before

Answer 4

105% = £1260
-divide by 150-
1% = £12
-times by 100-
100% = £1200

Question 5

How do you add and subtract fractions

Answer 5

• change into a top heavy fraction
• time both fractions so that they have the same denominator
• and then add or subtract as usual

Question 6

How do you multiply fractions

Answer 6

• Change mixed numbers to improper fractions first
• multiply the numerators by each other and the denominators by each other
• simplify

Question 7

How do you divide fractions

Answer 7

• flip the second fraction
• simplify
• then multiply

Question 8

state BODMAS

Answer 8

Brackets
Operations
Divide
Multiply
Add
Subtract

Question 9

How do you find scientific notations

Answer 9

• you just count the number of places the decimal has moved until you reach a number between 1-9 and then that will become your power
  e.g 1080000000
  = 1.08 x 10*9

Question 10

how do you change small numbers into scientific notations

Answer 10

• you must count how many places the decimal has to move backwards until you reach a number between 1-9 then that will be your power
  you power will be negitive
  e.g 0.00012
  = 1.2 x 10*-4

Question 11

how do you convert between scientific notation and normal numbers

Answer 11

you must move the decimal place either backwards or forwards depending if the power is positive or negitive
e.g 3.1 x 10*5 = 310000

Question 12

How do you round to significant figures

Answer 12

you must round up or down to the number of significant figures required e.g
987566 to 3.s.f
988000