Number
Products and Factors
Indices
Pythagoras' Theorem
Trigonometry
100
A $1000 handbag is discounted by 30%. What is the new price?
$700
100
Expand the following:
(2x-5)(5x+8)
10x^2-9x-40
100
Write the following with only positive indices:
5a^(-2)b^3
(5b^3)/a^2
100
The longest length in a right angled triangle is 15cm and the shortest length is 8cm. What is the exact length of the 3rd side?
sqrt161
100
Find x (1dp)
3.3
200
Simplify the ratio:
200m : 3km : 5000cm
4 : 60 : 1
200
factorise the following:
5x^2+80x+320
5(x+8)^2
200
Simplify the following, leaving your answer in index form:
sqrt(a^(1/2))
a^(1/4)
200
Two side lengths in a right-angled triangle are 6cm and 8cm. What is the 3rd side length?
10cm or
sqrt28cm
200
Find theta (to the nearest degree)
114^o
300
Nia buys an iPhone for $1200 and sells it two years later for $800. What is her overall percentage loss? (percentage of the original amount).
33.3... %
300
simplify the following:
(5y)/7+(2y)/5
(39y)/35
300
Simplify the following:
((2ysqrt(y))/y^2)^2
4/y
300
what is the length of x? (2dp)
2.45
300
What is the True Bearing of O from A?
109^oT
400
Convert 80km/h to m/s (1d.p)
22.2 m/s
400
factorise the following:
7x-2x^2-3
(x-3)(1-2x)
400
((25x^4)/y^3)^(-1/2)
y^(3/2)/(5x^2)
400
what is the exact value of x?
1/sqrt2
400
Find the exact value of:
cos315-sin315
leave your answer with a rational denominator
sqrt2
500
Bronte and Maddie are both travelling to Penrith, which is 60km away. Bronte is travelling at 70km/h and Maddie is travelling at 12 m/s.
Who will get there first and how many minutes will they be waiting for the other person to arrive?
Bronte will be waiting for 32 minutes.
500
(x^2-3x-10)/(x^2-4)xx(x^3-7x^2+10x)/(x^3-5x^2)
(x-5)/x
500
(30a^4b^(-7)c^(-1/2))/(18a^(-4)b^(-6)c^(-1/2))
(5a^8)/(3b)
500
Find the length AB 
5.95 m
500
Solve the following equation for 0^o<=theta<=720^o
sin(theta)=-sqrt3/2
theta=240^o,300^o,600^o,660^o