Pythagoras
Trigonometry
Similar Shapes
Surface Area
Quadratics
100
When using Pythagoras Theorem, the Hypotenuse is labeled with what letter?
C
100
When using Trigonometry, the side "touching" the known angle is called the what?
adjacent side
100
What is the symbol that indicates shapes are similar?
~
100
What is the formula for surface area of a rectangular prism?
SA = 2(LW + LH + WH)
100
If y = x2 + 4x + 4, calculate y when x = -3
y = 49
200
When using Pythagoras Theorem, what is the formula to calculate side c?
c=sqrt(a^2+b^2)
200
sin (theta)=
O /H
200
What are the four tests used to prove similarity in triangles?
AA, SSS, RHS and SAS
200
Calculate the surface area of a rectangular prism with a length of 6m, a width of 4m and a height of 3m.
108 square metres
200
Factorise x2 + 9x + 20
(x + 4) (x + 5)
300
Calculate the length of the hypotenuse:
26
300
35.10 degrees
300
A square has a side length of 8cm. An image of the square has a side length of 2cm. What is the scale factor?
Scale factor = 0.25 or 1/4
300
What is the formula for the curved surface of a cylinder?
2 x Pi x radius x height
300
State the y-intercept, as a coordinate, of the following quadratic:
y = (x - 5)(x + 8)
(0, -40)
400
Calculate x (to 2 dp):
23.24
400
Using Trigonometry, calculate the opposite side when the Hypotenuse = 18 and the angle = 47?
o = 13.16
400
A tree has a shadow that is 12m long. At the same time a 1.8m tall person has a shadow that is 2.4m long. Calculate the height of the tree.
The tree is 9m tall.
400
Calculate the surface area of a triangular prism that has a depth of 25cm and an isosceles triangular base with a perpendicular height of 6cm and base of 8cm.
608.56 square centimetres
400
State the x-intercepts, as coordinates, of the following quadratic:
y = x2 + 2x - 48
(8, 0) and (-6, 0)
500
What is the length of bd?
12
500
0.67m^2
500
A rectangle with a length of 80m has an area of 2000 square metres. A similar rectangle has a length of 12m. What is the area of the second rectangle?
45 square meters
500
A rectangular room which has a length of 6.8m, width of 5.2m and height of 2.4m needs to have it's walls repainted. The room also has a window which is 2.8m by 1.1m and a door which is 1.2m by 2.04m. The room will require 2 coats of paint. Each 10L paint tin costs $108 and covers 24 square metres. What is the cost of painting the room?
$540
500
What is the minimum number of x-intercepts a quadratic can have?
Zero