Topics 1-15

Question 1

lines are perpendicular to each other if…

Answer 1

their gradients multiply to get -1

Question 2

What do you need to know to find the equation of a straight line

Answer 2

• gradient
• coordinate that satisfies the line
• y-intercept

Question 3

what do you need to do to find the equation of the line that passes through 3,6 and has a gradient of 4

Answer 3

y = 4x + c
- substitute the coordinates in
6 = (3x4) +c
- solve
c = -6

y = 4x -6

Question 4

equation to find the midpoint of a line

Answer 4

( (x2 + x1) (y2 + y1) )
——– , ———-
2 2

• result will be a coordinate

Question 5

bearings are always measure in the …. direction

Answer 5

clockwise

Question 6

equation to generate any term in an arithmetic sequence

Answer 6

Un = first term + common difference(term number you want to find - 1)

Un = a + d(n-1)

Question 7

equation to generate the sum of an arithmetic sequence

Answer 7

Sn = how many terms you want to add up/2 ((2 x first term)+(how many terms you want to add up - 1) common difference)

Sn = n/2 (2a + ( n - 1) d)

Question 8

percentage change =

Answer 8

new / old

Question 9

what calculation would you do for 47% of 45

Answer 9

0.47 x 45

Question 10

in sets U means union but what else does it mean?

Answer 10

OR

like boolean logic gates

n(A U B’)
would mean that to qualify, the numbers would have to be in A or not in B

Question 11

in sets n means intersection but what else does it mean?

Answer 11

AND

like boolean logic gates

n(A n B’)
would mean that to qualify, the numbers would have to be in A and not in B