Algebra
Percentages
Indices
Geometry
Equations
100
Fully factorise:
4x2 - 100
4(x + 5)(x - 5)
100
Increase 12 by 10%.
13.2
100
Simplify:
a3 x a2
a5
100
A bicycle has wheels with diameter 64 cm .
Find how far, (nearest cm), the bicycle moves when the wheels turn one rotation.
201 cm
100
Solve for x
8x - 2 = 30
x = 4
200
Expand and simplify:
5(x + 2) - 3(7 - x)
7x - 11
200
Find the percentage decrease in the price of house worth $915 000 in 2020 and $700 000 in 2025.
Answer to 3 significant figures
23.5
200
Evaluate (8 - √4)2
36
200
Find the area of the shape.
63 m2
200
Solve for x:
x2 = 9
x = -3, 3
300
Simplify:
(-3t4)3
-27t12
300
13 is 20% of what number?
65
300
Determine the value of x
2x=32
x=5
300
Find the value of x in the shape.
2.1 cm
300
Solve for x:
x2 + 8x = 20
x = 2, -10
400
Factorise:
6x2 - 25x + 24
(3x + 8)(2x - 3)
400
If there are 18 girls in the class, and 30 students total, what percentage of the class are boys?
40%
400
( 2/x )3 x (3x)2
8/(9x)
400
Find the area of the shape.
21 mm2
400
Solve:
2x/5 - 9x/4 < 74
x > -2
500
Simplify:
(x-5)/2 - (x-1)/3
(x-13)/6
500
The ticketed price of a shirt (including GST) is $100.
How much is the GST component of the cost of the shirt?
$9.09
500
(2a-3b2)-2 / (4a)-3
16a9/b4
500
The Perimeter of the shape is 84, find the Area
294 km2
500
Solve:
x/3 - (2x)/5 = 1
x = -15