maths foundation

• Bidmas

  B=brackets , I=indices, D=devision,M=multiplication, A= adding , S=subtracting
• Trigonometry

  right angle triangle !

  SOH=opposite angle

  CAH= adjacent (next too)

  TOA= hypotenuse ( long)

  sin= o/h

  cos= a/h

  tan = o/a
• conversations

  1cm=10mm

  1m=100cm

  1km=1000m

  1L=1000ml

  1kg=1000g

  1kg=2.2pounds

  5miles=8km
• Area

  area of rectangle = L✖️W

  area of triangle =B✖️H➗2

  area of circle = πr2
• volume

  volume of cuboid = L✖️W✖️H

  volume of a prism =

  cross section area ✖️L
• circumference of circle = πd
• perimetere is the distance round the edge
• area is the space inside the shape
• percentage means “fraction out of 100”

  50%=0.5=1/2 divide by 2

  25%=0.25=1/4 half then half again

  10% = 0.1 = 1/10 divide by 10

  1%=0.01=1/100 divide by 100
• Angle rules

  opposite angles are equal

  angles at a point add up to 360*

  angles in quadrilateral add up to 360*

  angles on a straight line =180*

  angles in a triangle add up to 180*

  acute angles are less than 90

  obtuse are =90*- 180*

  right angle = 90*

  reflex angle = 180* -360 *
• angles rules

  alternate angles in parallel lines ( Z angles) are equal

  corresponding angles in parallel lines ( F angles ) are equal

  interior angles in parallel lines ( c angles) add up to 180*
• averages

  mode/modal- most common value or values

  medium- the middle value when in order

  mean - add up all the values and divide by the number of terms

  range- highest value take away the lowest value
• types of numbers

  odd - ends in 1,3,5,7,9

  even-ends in 0,2,4,6,8 ( is divisible by 2)

  factor - divide’s exactly into a number e.g 5 is a factor of 10

  multiple - in the timetables of a number e.g 20 is a multiple of 10

  square number - can be written as a number mutiplied by itself e.g 9 is a square number because it can be written as 3✖️3

  first 7 are 1,4,9,16,25,36,48

  prime numbers can only be divided by one and itself 2,3,5,7,11,13,17 are prime
• shapes -

  
• What are the operations involving numbers mentioned in the study material?

  • Sum: add the numbers together
  • Product: multiply the numbers
  • Difference: subtract the smallest from the largest
• What is the first operation mentioned for numbers?

  Sum - add the numbers together
• What is the second operation mentioned for numbers?

  Product - multiply the numbers
• What is the third operation mentioned for numbers?

  Difference - subtract the smallest from the largest
• What does the term "biggest takes away the smallest" refer to?

  It refers to finding the difference between numbers
• What should you do with the numbers to give an approximate answer?

  Round the numbers first
• What is the first step in solving for the letter correlation?

  Work out the value of the letter
• What does the letter correlation refer to?

  The relationship between two variables
• What types of relationships can exist between two variables?

  Positive, negative, or no correlation
• What is the purpose of drawing a line of best fit?

  To visualize the correlation between variables
• What does a positive correlation indicate?

  As one variable increases, the other also increases
• What does a negative correlation indicate?

  As one variable increases, the other decreases
• What does no correlation mean?

  There is no relationship between the two variables
• How do you expand the expression $2(x + 3)$?


  • Multiply: $2(x + 3) =$$2x +$$6$
• How do you factor the expression $x^2 - 3x$?


  • Factor: $x^2 - 3x =$$x(x - 3)$
• What does "test sellate" refer to in the context of shapes?

  • Fit shapes together without gaps