Probability
General Algebra
Number
Money
Factorising Baby!
100

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

100

(2x − 9) / 7 = 4

18.5

100

What is the highest common factor of: 

150    and    200    

50

100
Joe earns $12.50 per hour. How much does he earn for 4 hours?
$50
100

4x +12y

4(x + 3y)

200

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

200

12x + 3 = 7x − 4

-1.4

200

Simplify the surds √50+√32

9√2

200
Jack earns $4000 per month. How do I calculate his weekly wage?
Multiply $4000 by 12 and then divide by 52.
200

24x² +20x

4x(6x + 5)

300

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

300

2(2x + 1) = 3(x − 4)

-14

300
What is 4 + 3 x 10?
34
300

If a TV costs £682 including GST, how much did it cost before GST?

$620

300

8ap +12cp - 4p²

4p(2a+3c-p)

400
I toss 2 coins. What is the probability they will both be heads?
1/4
400

a2 + b2 = c2

Make "a" the subject.  

Square root of C2 - B2

400

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

400
Jane's annual salary is $62000. She has the following allowable deductions. Union $700, Donations $400 and work related expenses $850. What is her Taxable Income?
$60050
400

x2 +4x - 12

(x+6)(x-2)

500

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

500

w = the cube root of 5y - 8

Make y the subject.  

(w3 + 8) / 5 

500

Simplify 15b3c divided by 3bc2

5b2 divided by c 

500
Bill bought 10 ovens for $250 each. He sold them for $350 each. Calculate his profit as a percentage of cost price.
40%
500

2y² +7y -15

(2y -3)(y+5)

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