Algebra
Quadratics
Surds and Indices
Financial Maths
Lucky Dip
100
Expand (2-x)(2+x)
4 - x^2
100
Solve x^2 − 16 = 0
x=4 or -4
100
Simplify
(5q^12r)^3
125 q^36 r^3
100
Leanne earns a salary of $42 400 p.a. How much does she earn each fortnight?
$1625.14
100
When and where is Maths Help?
Room C at lunchtime.
200
Expand and fully simplify:
(a+1)^2+(a+2)^2+(a+3)^2
3 a^2 + 12 a + 14
200
Solve x^2 − 3x − 10 = 0
x=5 or -2
200
What is the value of y in sqrt(275)=5sqrt(y) ?
y=11
200
After 3 years, an investment of $1000 has earned $120 in interest. What is the annual interest rate?
4% p.a.
200
Train game!
1358
8^(1/3)xx5=10
300
Solve
(2x)/3-x/5<=21
x<=45
300
Factorise 2x^2 + 3x − 20
(2x − 5)(x + 4)
300
Express as a fraction with positive indices only:
x^3y^(-2)z^4
(x^3z^4)/y^2
300
Last week Rani worked her normal 38 hours, then 4 hours at time-and-a-half and 5 hours at double time. She was paid $909.90 for the week. What is her hourly rate?
$16.85
300
Solve (c+3)/14=4/7
c = 5
400
Solve simultaneously:
x+3y=10
3x+y=14
x=4, y=2
400
The product of two consecutive positive numbers is 20. What are the numbers?
4 and 5
400
Express in simplest surd form:
sqrt(300)-11sqrt(10)+8sqrt(27)+3sqrt(90)
34 sqrt(3) - 2 sqrt(10)
400
An amount of $2700 is invested at 5% p.a. with the interest compounded quarterly. Calculate the total amount of the investment after 3 years.
$3134.04
400
Rearrange the following equation to make u the subject:
s=(v^2-u^2)/2
500
Fully simplify this algebraic fraction:
((8bc-16c)/(6ab-30a)) ÷ ((4bc-8c)/(3ab+15a))
(b + 5)/(b - 5)
500
What is x?
x=5
500
Rationalise (3sqrt(2)+2sqrt(3))/(3sqrt(2)-2sqrt(3))
5 + 2 sqrt(6)
500
How much tax is payable on an income of $203,000?
$62,017
500
What are the four types of maths you can do in Year 12 at Wenona?
Standard 2, Advanced, Extension 1, Extension 2