Probability
Elizabeth has a bunch of red, yellow and white roses. She chooses a rose at random. The probability that she chooses a yellow rose is 0.1 The probability that she chooses a white rose is 0.2
(a) What is the probability that Elizabeth chooses a rose that is either yellow or white?
0.3
(2x − 9) / 7 = 4
18.5
What is the highest common factor of:
150 and 200
50
What is the gradient and what is the Y intercept?
y = 2x - 6
Gradient = 2
Y Intercept = -6
4x +12y
4(x + 3y)
As part of a game, Walter is going to pick a card at random from a deck. If Walter picks a card with a star on it, he will win the game. If Walter does not pick a card with a star on it, he will not win the game. 8 cards have a star on it and the rest do not. There are a total of 60 cards.
Find the probability that Walter does not win the game.
13 / 15
12x + 3 = 7x − 4
-1.4
A number, p, is rounded to 2 decimal places to give 10.68 Using inequalities, write down the error interval for p.
10.675 less than or equal to, p, less than 10.685
What is the gradient of the line?
4y = 20x -12
5
24x² +20x
4x(6x + 5)
A bag contains 400 coloured counters. The counters are either yellow, brown or green. There are 92 yellow counters in the bag. The probability that a brown counter is chosen from the bag is 0.13
Calculate the number of green counters in the bag.
256
2(2x + 1) = 3(x − 4)
-14
Calculate and give the answer in standard form:
(7.4 x 1014) + (5 x 1012)
7.45 x 1014
A straight line has a gradient of 4 and passes through the point (2,11)
Work out the equation of the line in the form of y = mx + c
y = 4x + 3
8ap +12cp - 4p²
4p(2a+3c-p)
a2 + b2 = c2
Make "a" the subject.
Square root of C2 - B2
Simplify the surds √50+√32
9√2
Write down the equation of the line that is parallel to x + 2y = 4 and passes through the point (0, 5)
y = -1/2x + 5
x2 +4x - 12
(x+6)(x-2)
Finn has three flavours of sweet in a box: lemon, strawberry and mint. 60 of the sweets are mint flavoured. If a sweet is to be chosen at random from the box, the probability that the sweet is mint flavoured is 1/4. The probability that the sweet is strawberry flavoured is 7/12.
Work out how many lemon flavoured sweets there are in the box?
40
w = the cube root of 5y - 8
Make y the subject.
(w3 + 8) / 5
Simplify 15b3c divided by 3bc2
5b2 divided by c
The straight line K has equation y = 2x − 5
The straight line J is perpendicular to line K and passes through the point (−4, 8).
Find the equation of line J
y = -1/2x + 6
2y² +7y -15
(2y -3)(y+5)