Percentages
40% of a number is 22.
What is 70% of the number?
38.5
What is the ratio a:c?
6:35
Write the set symbol for the empty set
Ø
|-7|=?
7
The number multiplying a variable is known as a ...
coefficient
Bill's weight decreases from 64.8kg to 59.3kg.
Work out his percentage decrease in weight to 1 decimal place.
8.5%
In the UK petrol costs £1.24 per litre.
In the US petrol costs $3.79 per litre.
£1=$1.47 which has cheaper petrol?
UK
If n(A ∩ B) = 0 then A and B are what?
Mutually exclusive
|x|=5
Write the values of x
5, -5
Write the set that denotes the irrational numbers
Q'
In a sale a TV was reduced by 65%. The sale price is $139.75. What was the original price?
$215
In a bag there are 60 tokens. x are red and the rest are green. Write the ratio of red to green tokens.
x:60-x
If for all x ∈ A, x ∈ B then what is the relationship between A and B?
Bonus: write it in set notation!
They are subsets
Find the remainder when the polynomial
x^3+2x^2-5x+2 is divided by (x-1)
Bonus: What does this tell you about (x-1)?
0
What is 0.272727... as a fraction?
$3000 has been put into a simple interest account with 3.5% interest per annum. How much would I have in total if I invest it for 4 years?
$3420
John sells lemonade and sandwiches. On one day he sells lemonade and sandwiches in ratio 2:1. The next day he sells lemonade and sandwiches in ratio 3:5.
He sold 200 more sandwiches on the next day.
How many items did he sell in total on the second day.
400
For sets A, B and C, draw what is shown by A ∩ B ∩ C'
A and B but not C shown
Solve
3|2x-5|+4=25
x=6 or x=-1
The star ferry goes back and forth from Central to TST.
One of the star ferries takes 20 minutes to cross the harbour. The other takes 25 minutes as it is older.If both ferries leave central at 8am - how long until they are at the same terminal again?
11:20am
I put $2000 into a savings account of x% per annum. If I invest it for 4 years and get $2339.72 what percentage rate is it?
4%
The ratio of orange squash to water is 2:3. 100ml of water is added and the ratio becomes 1:4.
Find the amount of orange squash.
40ml
32 students in a class.
25 passed maths
20 passed English
14 passed French
18 passed maths and English
11 passed maths and French
4 students failed all three
How many passed all three?
7
Fully factorise
x^3-2x^2-5x+6
(x-1)(x+2)(x-3)
How many days can we expect it to rain in May?
19.22 days