section 4 Flashcards
what are rational numbers?
integers
fractions
recurring decimals
what are irrational numbers?
surds
can’t be written as fractions
is 1 a prime number?
NO
how do you find the least common multiple - LCM?
list all the multipliers of both numbers and find the smallest on both lists
how do you find the highest common factor - HCF?
list the factors of both numbers and find the biggest in each list.
what are multiples of a number?
it’s time table
what are the factors of a number?
numbers that will divide into the number
how do you convert s fraction into a decimal?
divide the top by the bottom
how would you turn a decimal to a percentage?
X 100
what do you do when you multiply the powers?
you add them
dividing the powers?
subtract them
powers in and out of brackets?
multiply them
what would something to the power of 1 be?
that number
what is anything to the power of 0?
1
what would you do if the power was outside the bracket of a fraction?
apply the power to the bottom and top of the fraction
what do you do with negative powers?
turn it upside down.
e.g. 7to the power of -2 would be 1 over 49
if a power is in a fraction what does the bottom number mean? the top number? which do you do first?
the root of it
to the power of it
the ROOT
how do you rationalise the denominator?
multiply the bottom number and the top number by the bottom surd
what is the gradient?
change in Y divided by change in X
how do you find the mid-point of an coordinates?
add the X of coordinates and Y of the coordinates and divide by 2
what do the graph sin do?
pass through 0 to start and 90 is 1 and so on
what is the cos graph?
starts with 1 and 0 equals 99 and so on
how do you calculate the distance ins velocity time graph?
work out the area underneath
how do you work out the are of a trapezium under a velocity time graph?
half X average of parallel sides X the distance
what is the sum of exterior angles in a polygon?
360
what is the sum of the interior angles?
number of sides of the polygon - 2 X 180
how do you find the exterior angle in a regular polygon?
360 / number of sides
how do you find the interior angles of a regular polygon?
180 - exterior angle
what does the top number on a vector represent?
what happens if it’s a +
a - ?
the direction
left = a minus number
right = a plus number
what does the bottom number in a column vector represent?
if it’s a minus?
a plus?
up or down
plus = up
minus = down
how do you find the end probabilities on a tree diagram?
multiply the fractions together all along then branches
how do you work out the surface area of a sphere?
4 X pie x radius squared
how do you work out the curved surface area of a cone?
pie X radius Xlength
what’s the area of a trapezium?
a half (a+b) X h
area of a parallelogram?
base X height
